Class for defining the free form FFDBox structure. More...

#include <grid_movement_structure.hpp>

Inheritance diagram for CFreeFormDefBox:

Public Member Functions
	CFreeFormDefBox (void)
	Constructor of the class.

	CFreeFormDefBox (unsigned short Degree[], unsigned short BSplineOrder[], unsigned short kind_blending)

	~CFreeFormDefBox (void)
	Destructor of the class.

void	Set_Fix_IPlane (unsigned short val_plane)
	Define the I planes to to fix in a FFD box. More...

void	Set_Fix_JPlane (unsigned short val_plane)
	Define the I planes to to fix in a FFD box. More...

void	Set_Fix_KPlane (unsigned short val_plane)
	Define the I planes to to fix in a FFD box. More...

unsigned short	Get_Fix_IPlane (unsigned short val_index)
	Define the I planes to to fix in a FFD box. More...

unsigned short	Get_Fix_JPlane (unsigned short val_index)
	Define the I planes to to fix in a FFD box. More...

unsigned short	Get_Fix_KPlane (unsigned short val_index)
	Define the I planes to to fix in a FFD box. More...

unsigned short	Get_nFix_IPlane (void)
	Define the I planes to to fix in a FFD box. More...

unsigned short	Get_nFix_JPlane (void)
	Define the I planes to to fix in a FFD box. More...

unsigned short	Get_nFix_KPlane (void)
	Define the I planes to to fix in a FFD box. More...

void	Set_MarkerIndex (unsigned short val_iMarker)
	Add to the vector of markers a new marker. More...

void	Set_VertexIndex (unsigned long val_iVertex)
	Add to the vector of vertices a new vertex. More...

void	Set_PointIndex (unsigned long val_iPoint)
	Add to the vector of points a new point. More...

void	Set_CartesianCoord (su2double *val_coord)
	Add to the vector of cartesian coordinates a new coordinate. More...

void	Set_ParametricCoord (su2double *val_coord)
	Add to the vector of parametric coordinates a new coordinate. More...

void	SetParentFFDBox (string val_iParentFFDBox)
	Add to the vector of parent FFDBoxes a new FFD FFDBox. More...

void	SetChildFFDBox (string val_iChildFFDBox)
	Add to the vector of child FFDBoxes a new FFD FFDBox. More...

void	Set_CartesianCoord (su2double *val_coord, unsigned long val_iSurfacePoints)
	_______________. More...

void	Set_ParametricCoord (su2double *val_coord, unsigned long val_iSurfacePoints)
	_______________. More...

unsigned short	Get_MarkerIndex (unsigned long val_iSurfacePoints)
	_______________. More...

unsigned long	Get_VertexIndex (unsigned long val_iSurfacePoints)
	_______________. More...

unsigned long	Get_PointIndex (unsigned long val_iSurfacePoints)
	_______________. More...

su2double *	Get_CartesianCoord (unsigned long val_iSurfacePoints)
	_______________. More...

su2double *	Get_ParametricCoord (unsigned long val_iSurfacePoints)
	_______________. More...

unsigned long	GetnSurfacePoint (void)
	_______________. More...

unsigned short	GetnParentFFDBox (void)
	_______________. More...

unsigned short	GetnChildFFDBox (void)
	_______________. More...

string	GetParentFFDBoxTag (unsigned short val_ParentFFDBox)
	_______________. More...

string	GetChildFFDBoxTag (unsigned short val_ChildFFDBox)
	_______________. More...

void	SetSupportCPChange (CFreeFormDefBox *FFDBox)
	Change the the position of the corners of the unitary FFDBox, and find the position of the control points for the FFDBox. More...

void	SetnCornerPoints (unsigned short val_ncornerpoints)
	Set the number of corner points. More...

unsigned short	GetnCornerPoints (void)
	Get the number of corner points. More...

unsigned short	GetnControlPoints (void)
	Get the number of control points. More...

void	SetnControlPoints (void)
	Get the number of control points. More...

unsigned long	GetnSurfacePoints (void)
	Get the number of numerical points on the surface. More...

void	SetUnitCornerPoints (void)
	Set the corner point for the unitary FFDBox.

void	SetCoordCornerPoints (su2double *val_coord, unsigned short val_icornerpoints)
	Set the coordinates of the corner points. More...

void	SetCoordCornerPoints (su2double val_xcoord, su2double val_ycoord, su2double val_zcoord, unsigned short val_icornerpoints)

void	SetCoordControlPoints (su2double *val_coord, unsigned short iDegree, unsigned short jDegree, unsigned short kDegree)
	Set the coordinates of the control points. More...

void	SetCoordControlPoints_Copy (su2double *val_coord, unsigned short iDegree, unsigned short jDegree, unsigned short kDegree)
	Set the coordinates of the control points. More...

void	SetParCoordControlPoints (su2double *val_coord, unsigned short iDegree, unsigned short jDegree, unsigned short kDegree)
	Set the coordinates of the control points. More...

su2double	GetCoordCornerPoints (unsigned short val_dim, unsigned short val_icornerpoints)
	Get the coordinates of the corner points. More...

su2double *	GetCoordCornerPoints (unsigned short val_icornerpoints)
	Get the coordinates of the corner points. More...

su2double *	GetCoordControlPoints (unsigned short val_iindex, unsigned short val_jindex, unsigned short val_kindex)
	Get the coordinates of the control point. More...

su2double *	GetParCoordControlPoints (unsigned short val_iindex, unsigned short val_jindex, unsigned short val_kindex)
	Get the parametric coordinates of the control point. More...

void	SetControlPoints_Parallelepiped (void)
	Set the control points in a parallelepiped (hexahedron).

void	SetSupportCP (CFreeFormDefBox *FFDBox)
	Set the control points of the final chuck in a unitary hexahedron free form. More...

void	SetControlPoints (unsigned short val_index, su2double movement)
	Set the new value of the coordinates of the control points. More...

void	SetOriginalControlPoints (void)
	Set the original value of the control points.

void	SetTecplot (CGeometry *geometry, unsigned short iFFDBox, bool original)
	Set the tecplot file of the FFD chuck structure. More...

void	SetParaview (CGeometry *geometry, unsigned short iFFDBox, bool original)
	Set the paraview file of the FFD chuck structure. More...

void	SetCyl2Cart_ControlPoints (CConfig *config)
	Set Cylindrical to Cartesians_ControlPoints. More...

void	SetCart2Cyl_ControlPoints (CConfig *config)
	Set Cartesians to Cylindrical ControlPoints. More...

void	SetCyl2Cart_CornerPoints (CConfig *config)
	Set Cylindrical to Cartesians_CornerPoints. More...

void	SetCart2Cyl_CornerPoints (CConfig *config)
	Set Cartesians to Cylindrical CornerPoints. More...

void	SetSphe2Cart_ControlPoints (CConfig *config)
	Set Spherical to Cartesians ControlPoints. More...

void	SetCart2Sphe_ControlPoints (CConfig *config)
	SetCartesians to Spherical ControlPoints. More...

void	SetSphe2Cart_CornerPoints (CConfig *config)
	Set Spherical to Cartesians_CornerPoints. More...

void	SetCart2Sphe_CornerPoints (CConfig *config)
	Set Cartesians to Spherical Corner Points. More...

su2double *	GetParametricCoord_Analytical (su2double *cart_coord)
	Set the cartesian coords of a point in R^3 and convert them to the parametric coords of our parametrization of a paralellepiped. More...

su2double *	GetParametricCoord_Iterative (unsigned long iPoint, su2double xyz, su2double guess, CConfig *config)
	Iterative strategy for computing the parametric coordinates. More...

void	CrossProduct (su2double v1, su2double v2, su2double *v3)
	Compute the cross product. More...

su2double	DotProduct (su2double v1, su2double v2)
	Compute the doc product. More...

su2double *	EvalCartesianCoord (su2double *ParamCoord)
	Here we take the parametric coords of a point in the box and we convert them to the physical cartesian coords by plugging the ParamCoords on the Bezier parameterization of our box. More...

unsigned short	GetlOrder (void)
	Get the order in the l direction of the FFD FFDBox. More...

unsigned short	GetmOrder (void)
	Get the order in the m direction of the FFD FFDBox. More...

unsigned short	GetnOrder (void)
	Get the order in the n direction of the FFD FFDBox. More...

void	SetlOrder (unsigned short val_lOrder)
	Get the order in the l direction of the FFD FFDBox. More...

void	SetmOrder (unsigned short val_mOrder)
	Get the order in the m direction of the FFD FFDBox. More...

void	SetnOrder (unsigned short val_nOrder)
	Get the order in the n direction of the FFD FFDBox. More...

bool	GetPointFFD (CGeometry geometry, CConfig config, unsigned long iPoint)
	Set, at each vertex, the index of the free form FFDBox that contains the vertex. More...

void	SetDeformationZone (CGeometry geometry, CConfig config, unsigned short iFFDBox)
	Set the zone of the computational domain that is going to be deformed. More...

su2double *	GetFFDGradient (su2double val_coord, su2double xyz)
	The routine computes the gradient of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 evaluated at (u, v, w). More...

void	GetFFDHessian (su2double uvw, su2double xyz, su2double **val_Hessian)
	The routine that computes the Hessian of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 evaluated at (u, v, w) Input: (u, v, w), (x, y, z) Output: Hessian F (u, v, w). More...

su2double	GetDerivative1 (su2double uvw, unsigned short val_diff, unsigned short ijk, unsigned short *lmn)
	An auxiliary routine to help us compute the gradient of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)^2+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z)^2 Input: val_t, val_diff (to identify the index of the Bernstein polynomail we differentiate), the i, j, k , l, m, n E.G.: val_diff=2 => we differentiate w.r.t. w (val_diff=0,1, or 2) Output: d [B_i^lB_j^m B_k^n] / d val_diff (val_u, val_v, val_w). More...

su2double	GetDerivative2 (su2double uvw, unsigned short dim, su2double xyz, unsigned short *lmn)
	An auxiliary routine to help us compute the gradient of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)^2+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z)^2 Input: (u, v, w), dim , xyz=(x, y, z), l, m, n E.G.: dim=2 => we use the third coordinate of the control points, and the z-coordinate of xyz (0<=dim<=2) Output: 2* ( (Sum_{i, j, k}^l, m, n P_{ijk}[dim] B_i^l[u] B_j^m[v] B_k^n[w]) - xyz[dim]). More...

su2double	GetDerivative3 (su2double uvw, unsigned short dim, unsigned short diff_this, unsigned short lmn)
	An auxiliary routine to help us compute the gradient of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z) More...

su2double	GetDerivative4 (su2double uvw, unsigned short val_diff, unsigned short val_diff2, unsigned short ijk, unsigned short *lmn)
	An auxiliary routine to help us compute the Hessian of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z) Input: val_t, val_diff, val_diff2 (to identify the index of the Bernstein polynomials we differentiate), the i, j, k , l, m, n E.G.: val_diff=1, val_diff2=2 => we differentiate w.r.t. v and w (val_diff=0,1, or 2) E.G.: val_diff=0, val_diff2=0 => we differentiate w.r.t. u two times Output: [d [B_i^lB_j^m B_k^n]/d val_diff d [B_i^lB_j^m *B_k^n]/d val_diff2] (val_u, val_v, val_w) . More...

su2double	GetDerivative5 (su2double uvw, unsigned short dim, unsigned short diff_this, unsigned short diff_this_also, unsigned short lmn)
	An auxiliary routine to help us compute the Hessian of F(u, v, w) = \|\|X(u, v, w)-(x, y, z)\|\|^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z) Input: (u, v, w), dim , diff_this, diff_this_also, xyz=(x, y, z), l, m, n Output: Sum_{i, j, k}^{l, m, n} [two of them with -1, depending on diff_this, diff_this_also=0,1 or 2] P_{ijk}[dim] * (B_i^l[u] B_j^m[v] B_k^n[w])–one of them diffrentiated; which? diff_thiss will tell us ; E.G.: dim=2, diff_this=1 => we use the third coordinate of the control points, and derivate de v-Bersntein polynomial (use m-1 when summing!!). More...

su2double	GetNorm (su2double *a)
	Euclidean norm of a vector. More...

void	SetTag (string val_tag)
	Set the tag that identify a FFDBox. More...

string	GetTag (void)
	Get the tag that identify a FFDBox. More...

void	SetLevel (unsigned short val_level)
	Set the nested level of the FFDBox. More...

unsigned short	GetLevel (void)
	Get the nested level of the FFDBox. More...

su2double	Determinant_3x3 (su2double A00, su2double A01, su2double A02, su2double A10, su2double A11, su2double A12, su2double A20, su2double A21, su2double A22)
	Compute the determinant of a 3 by 3 matrix. More...

Public Member Functions inherited from CGridMovement
	CGridMovement (void)
	Constructor of the class.

virtual	~CGridMovement (void)
	Destructor of the class.

virtual void	SetSurface_Deformation (CGeometry geometry, CConfig config)
	A pure virtual member. More...

Public Attributes
unsigned short	nDim
	Number of dimensions of the problem.

unsigned short	nCornerPoints
	Number of corner points of the FFDBox.

unsigned short	nControlPoints

unsigned short	nControlPoints_Copy
	Number of control points of the FFDBox.

su2double **	Coord_Corner_Points
	Coordinates of the corner points.

su2double ****	Coord_Control_Points
	Coordinates of the control points.

su2double ****	ParCoord_Control_Points
	Coordinates of the control points.

su2double ****	Coord_Control_Points_Copy
	Coordinates of the control points (copy).

su2double ****	Coord_SupportCP
	Coordinates of the support control points.

unsigned short	lOrder

unsigned short	lOrder_Copy
	Order of the FFDBox in the i direction.

unsigned short	mOrder

unsigned short	mOrder_Copy
	Order of the FFDBox in the j direction.

unsigned short	nOrder

unsigned short	nOrder_Copy
	Order of the FFDBox in the k direction.

unsigned short	lDegree

unsigned short	lDegree_Copy
	Degree of the FFDBox in the i direction. (lOrder - 1)

unsigned short	mDegree

unsigned short	mDegree_Copy
	Degree of the FFDBox in the j direction. (mOrder - 1)

unsigned short	nDegree

unsigned short	nDegree_Copy
	Degree of the FFDBox in the k direction. (nOrder - 1)

su2double *	ParamCoord

su2double *	ParamCoord_
	Parametric coordinates of a point.

su2double *	cart_coord

su2double *	cart_coord_
	Cartesian coordinates of a point.

su2double	ObjFunc
	Objective function of the point inversion process.

su2double *	Gradient
	Gradient of the point inversion process.

su2double **	Hessian
	Hessian of the point inversion process.

su2double	MaxCoord [3]
	Maximum coordinates of the FFDBox.

su2double	MinCoord [3]
	Minimum coordinates of the FFDBox.

string	Tag
	Tag to identify the FFDBox.

unsigned short	Level
	Nested level of the FFD box.

vector< su2double >	CartesianCoord [3]
	Vector with all the cartesian coordinates in the FFD FFDBox.

vector< su2double >	ParametricCoord [3]
	Vector with all the parametrics coordinates in the FFD FFDBox.

vector< unsigned short >	MarkerIndex
	Vector with all markers in the FFD FFDBox.

vector< unsigned long >	VertexIndex
	Vector with all vertex index in the FFD FFDBox.

vector< unsigned long >	PointIndex
	Vector with all points index in the FFD FFDBox.

unsigned long	nSurfacePoint
	Number of surfaces in the FFD FFDBox.

vector< string >	ParentFFDBox
	Vector with all the parent FFD FFDBox.

vector< string >	ChildFFDBox
	Vector with all the child FFD FFDBox.

vector< unsigned short >	Fix_IPlane
	Fix FFD I plane.

vector< unsigned short >	Fix_JPlane
	Fix FFD J plane.

vector< unsigned short >	Fix_KPlane
	Fix FFD K plane.

CFreeFormBlending **	BlendingFunction

Detailed Description

Class for defining the free form FFDBox structure.

Author: F. Palacios & A. Galdran.

Version: 5.0.0 "Raven"

Constructor & Destructor Documentation

§ CFreeFormDefBox()

CFreeFormDefBox::CFreeFormDefBox	(	unsigned short	Degree[],
		unsigned short	BSplineOrder[],
		unsigned short	kind_blending
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Parameters

[in]	val_lDegree	- Degree of the FFDBox in the i direction.
[in]	val_mDegree	- Degree of the FFDBox in the j direction.
[in]	val_nDegree	- Degree of the FFDBox in the k direction.

Member Function Documentation

§ CrossProduct()

void CFreeFormDefBox::CrossProduct	(	su2double *	v1,
		su2double *	v2,
		su2double *	v3
	)

inline

Compute the cross product.

Parameters

[in]	v1	- First input vector.
[in]	v2	- Second input vector.
[out]	v3	- Output vector wuth the cross product.

§ Determinant_3x3()

su2double CFreeFormDefBox::Determinant_3x3	(	su2double	A00,
		su2double	A01,
		su2double	A02,
		su2double	A10,
		su2double	A11,
		su2double	A12,
		su2double	A20,
		su2double	A21,
		su2double	A22
	)

inline

Compute the determinant of a 3 by 3 matrix.

Parameters

[in] val_matrix 3 by 3 matrix.

Returns: Determinant of the matrix

§ DotProduct()

su2double CFreeFormDefBox::DotProduct	(	su2double *	v1,
		su2double *	v2
	)

inline

Compute the doc product.

Parameters

[in]	v1	- First input vector.
[in]	v2	- Sencond input vector.

Returns: Dot product between v1, and v2.

§ EvalCartesianCoord()

su2double * CFreeFormDefBox::EvalCartesianCoord ( su2double * ParamCoord )

Here we take the parametric coords of a point in the box and we convert them to the physical cartesian coords by plugging the ParamCoords on the Bezier parameterization of our box.

Parameters

[in] ParamCoord - Parametric coordinates of a point.

Returns: Pointer to the cartesian coordinates of a point.

§ Get_CartesianCoord()

su2double * CFreeFormDefBox::Get_CartesianCoord ( unsigned long val_iSurfacePoints )

inline

_______________.

Parameters

[in] Get_CartesianCoord - _______________.

Returns: _______________.

§ Get_Fix_IPlane()

unsigned short CFreeFormDefBox::Get_Fix_IPlane ( unsigned short val_index )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Get_Fix_JPlane()

unsigned short CFreeFormDefBox::Get_Fix_JPlane ( unsigned short val_index )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Get_Fix_KPlane()

unsigned short CFreeFormDefBox::Get_Fix_KPlane ( unsigned short val_index )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Get_MarkerIndex()

unsigned short CFreeFormDefBox::Get_MarkerIndex ( unsigned long val_iSurfacePoints )

inline

_______________.

Parameters

[in] Get_MarkerIndex - _______________.

Returns: _______________.

§ Get_nFix_IPlane()

unsigned short CFreeFormDefBox::Get_nFix_IPlane ( void )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Get_nFix_JPlane()

unsigned short CFreeFormDefBox::Get_nFix_JPlane ( void )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Get_nFix_KPlane()

unsigned short CFreeFormDefBox::Get_nFix_KPlane ( void )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Get_ParametricCoord()

su2double * CFreeFormDefBox::Get_ParametricCoord ( unsigned long val_iSurfacePoints )

inline

_______________.

Parameters

[in] Get_ParametricCoord - _______________.

Returns: _______________.

§ Get_PointIndex()

unsigned long CFreeFormDefBox::Get_PointIndex ( unsigned long val_iSurfacePoints )

inline

_______________.

Parameters

[in] Get_PointIndex - _______________.

Returns: _______________.

§ Get_VertexIndex()

unsigned long CFreeFormDefBox::Get_VertexIndex ( unsigned long val_iSurfacePoints )

inline

_______________.

Parameters

[in] Get_VertexIndex - _______________.

Returns: _______________.

§ GetChildFFDBoxTag()

string CFreeFormDefBox::GetChildFFDBoxTag ( unsigned short val_ChildFFDBox )

inline

_______________.

Parameters

[in] val_ChildFFDBox - _______________.

Returns: _______________.

§ GetCoordControlPoints()

su2double * CFreeFormDefBox::GetCoordControlPoints	(	unsigned short	val_iindex,
		unsigned short	val_jindex,
		unsigned short	val_kindex
	)

inline

Get the coordinates of the control point.

Parameters

[in]	val_iindex	- Value of the local i index of the control point.
[in]	val_jindex	- Value of the local j index of the control point.
[in]	val_kindex	- Value of the local k index of the control point.

Returns: Pointer to the coordinate vector of the control point with local index (i, j, k).

§ GetCoordCornerPoints() [1/2]

su2double CFreeFormDefBox::GetCoordCornerPoints	(	unsigned short	val_dim,
		unsigned short	val_icornerpoints
	)

inline

Get the coordinates of the corner points.

Parameters

[in]	val_dim	- Index of the coordinate (x, y, z).
[in]	val_icornerpoints	- Index of the corner point.

Returns: Coordinate val_dim of the corner point val_icornerpoints.

§ GetCoordCornerPoints() [2/2]

su2double * CFreeFormDefBox::GetCoordCornerPoints ( unsigned short val_icornerpoints )

inline

Get the coordinates of the corner points.

Parameters

[in] val_icornerpoints - Index of the corner point.

Returns: Pointer to the coordinate vector of the corner point val_icornerpoints.

§ GetDerivative1()

su2double CFreeFormDefBox::GetDerivative1	(	su2double *	uvw,
		unsigned short	val_diff,
		unsigned short *	ijk,
		unsigned short *	lmn
	)

An auxiliary routine to help us compute the gradient of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)^2+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z)^2 Input: val_t, val_diff (to identify the index of the Bernstein polynomail we differentiate), the i, j, k , l, m, n E.G.: val_diff=2 => we differentiate w.r.t. w (val_diff=0,1, or 2) Output: d [B_i^l*B_j^m *B_k^n] / d val_diff (val_u, val_v, val_w).

Parameters

[in]	uvw	- __________.
[in]	val_diff	- __________.
[in]	ijk	- __________.
[in]	lmn	- Degree of the FFD box.

Returns: __________.

§ GetDerivative2()

su2double CFreeFormDefBox::GetDerivative2	(	su2double *	uvw,
		unsigned short	dim,
		su2double *	xyz,
		unsigned short *	lmn
	)

An auxiliary routine to help us compute the gradient of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)^2+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z)^2 Input: (u, v, w), dim , xyz=(x, y, z), l, m, n E.G.: dim=2 => we use the third coordinate of the control points, and the z-coordinate of xyz (0<=dim<=2) Output: 2* ( (Sum_{i, j, k}^l, m, n P_{ijk}[dim] B_i^l[u] B_j^m[v] B_k^n[w]) - xyz[dim]).

Parameters

[in]	uvw	- __________.
[in]	dim	- __________.
[in]	xyz	- __________.
[in]	lmn	- Degree of the FFD box.

Returns: __________.

§ GetDerivative3()

su2double CFreeFormDefBox::GetDerivative3	(	su2double *	uvw,
		unsigned short	dim,
		unsigned short	diff_this,
		unsigned short *	lmn
	)

An auxiliary routine to help us compute the gradient of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z)

Parameters

[in]	uvw	- Parametric coordiates of the point.
[in]	dim	- Value of the coordinate to be differentiate.
[in]	diff_this	- Diferentiation with respect this coordinate.
[in]	lmn	- Degree of the FFD box.

Returns: Sum_{i, j, k}^{l, m, n} [one of them with -1, depending on diff_this=0,1 or 2] P_{ijk}[dim] * (B_i^l[u] B_j^m[v] B_k^n[w])–one of them diffrentiated; which? diff_thiss will tell us ; E.G.: dim=2, diff_this=1 => we use the third coordinate of the control points, and derivate de v-Bersntein polynomial (use m-1 when summing!!).

§ GetDerivative4()

su2double CFreeFormDefBox::GetDerivative4	(	su2double *	uvw,
		unsigned short	val_diff,
		unsigned short	val_diff2,
		unsigned short *	ijk,
		unsigned short *	lmn
	)

An auxiliary routine to help us compute the Hessian of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z) Input: val_t, val_diff, val_diff2 (to identify the index of the Bernstein polynomials we differentiate), the i, j, k , l, m, n E.G.: val_diff=1, val_diff2=2 => we differentiate w.r.t. v and w (val_diff=0,1, or 2) E.G.: val_diff=0, val_diff2=0 => we differentiate w.r.t. u two times Output: [d [B_i^l*B_j^m *B_k^n]/d val_diff *d [B_i^l*B_j^m *B_k^n]/d val_diff2] (val_u, val_v, val_w) .

Parameters

[in]	uvw	- __________.
[in]	val_diff	- __________.
[in]	val_diff2	- __________.
[in]	ijk	- __________.
[in]	lmn	- Degree of the FFD box.

Returns: __________.

§ GetDerivative5()

su2double CFreeFormDefBox::GetDerivative5	(	su2double *	uvw,
		unsigned short	dim,
		unsigned short	diff_this,
		unsigned short	diff_this_also,
		unsigned short *	lmn
	)

An auxiliary routine to help us compute the Hessian of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 = (Sum_ijk^lmn P1_ijk Bi Bj Bk -x)^2+(Sum_ijk^lmn P2_ijk Bi Bj Bk -y)+(Sum_ijk^lmn P3_ijk Bi Bj Bk -z) Input: (u, v, w), dim , diff_this, diff_this_also, xyz=(x, y, z), l, m, n Output: Sum_{i, j, k}^{l, m, n} [two of them with -1, depending on diff_this, diff_this_also=0,1 or 2] P_{ijk}[dim] * (B_i^l[u] B_j^m[v] B_k^n[w])–one of them diffrentiated; which? diff_thiss will tell us ; E.G.: dim=2, diff_this=1 => we use the third coordinate of the control points, and derivate de v-Bersntein polynomial (use m-1 when summing!!).

Parameters

[in]	uvw	- __________.
[in]	dim	- __________.
[in]	diff_this	- __________.
[in]	diff_this_also	- __________.
[in]	lmn	- Degree of the FFD box.

Returns: __________.

§ GetFFDGradient()

su2double * CFreeFormDefBox::GetFFDGradient	(	su2double *	val_coord,
		su2double *	xyz
	)

The routine computes the gradient of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 evaluated at (u, v, w).

Parameters

[in]	val_coord	- Parametric coordiates of the target point.
[in]	xyz	- Cartesians coordinates of the point.
[in]	analytical	- Compute the analytical gradient.

Returns: Value of the analytical gradient.

§ GetFFDHessian()

void CFreeFormDefBox::GetFFDHessian	(	su2double *	uvw,
		su2double *	xyz,
		su2double **	val_Hessian
	)

The routine that computes the Hessian of F(u, v, w) = ||X(u, v, w)-(x, y, z)||^2 evaluated at (u, v, w) Input: (u, v, w), (x, y, z) Output: Hessian F (u, v, w).

Parameters

[in]	uvw	- Current value of the parametrics coordinates.
[in]	xyz	- Cartesians coordinates of the target point to compose the functional.
[in]	val_Hessian	- Value of the hessian.

§ GetLevel()

unsigned short CFreeFormDefBox::GetLevel ( void )

inline

Get the nested level of the FFDBox.

Returns: Value of the nested level of the the FFDBox.

§ GetlOrder()

unsigned short CFreeFormDefBox::GetlOrder ( void )

inline

Get the order in the l direction of the FFD FFDBox.

Returns: Order in the l direction of the FFD FFDBox.

§ GetmOrder()

unsigned short CFreeFormDefBox::GetmOrder ( void )

inline

Get the order in the m direction of the FFD FFDBox.

Returns: Order in the m direction of the FFD FFDBox.

§ GetnChildFFDBox()

unsigned short CFreeFormDefBox::GetnChildFFDBox ( void )

inline

_______________.

Parameters

[in] GetnChildFFDBox - _______________.

Returns: _______________.

§ GetnControlPoints()

unsigned short CFreeFormDefBox::GetnControlPoints ( void )

inline

Get the number of control points.

Returns: Number of control points.

§ GetnCornerPoints()

unsigned short CFreeFormDefBox::GetnCornerPoints ( void )

inline

Get the number of corner points.

Returns: Number of corner points.

§ GetnOrder()

unsigned short CFreeFormDefBox::GetnOrder ( void )

inline

Get the order in the n direction of the FFD FFDBox.

Returns: Order in the n direction of the FFD FFDBox.

§ GetNorm()

su2double CFreeFormDefBox::GetNorm ( su2double * a )

inline

Euclidean norm of a vector.

Parameters

[in] a - _______.

Returns: __________.

§ GetnParentFFDBox()

unsigned short CFreeFormDefBox::GetnParentFFDBox ( void )

inline

_______________.

Parameters

[in] GetnParentFFDBox - _______________.

Returns: _______________.

§ GetnSurfacePoint()

unsigned long CFreeFormDefBox::GetnSurfacePoint ( void )

inline

_______________.

Parameters

[in] GetnSurfacePoint - _______________.

Returns: _______________.

§ GetnSurfacePoints()

unsigned long CFreeFormDefBox::GetnSurfacePoints ( void )

inline

Get the number of numerical points on the surface.

Returns: Number of numerical points on the surface.

§ GetParametricCoord_Analytical()

su2double * CFreeFormDefBox::GetParametricCoord_Analytical ( su2double * cart_coord )

Set the cartesian coords of a point in R^3 and convert them to the parametric coords of our parametrization of a paralellepiped.

Parameters

[in] cart_coord - Cartesian coordinates of a point.

Returns: Pointer to the parametric coordinates of a point.

§ GetParametricCoord_Iterative()

su2double * CFreeFormDefBox::GetParametricCoord_Iterative	(	unsigned long	iPoint,
		su2double *	xyz,
		su2double *	guess,
		CConfig *	config
	)

Iterative strategy for computing the parametric coordinates.

Parameters

[in]	xyz	- Cartesians coordinates of the target point.
[in]	guess	- Initial guess for doing the parametric coordinates search.
[in]	tol	- Level of convergence of the iterative method.
[in]	it_max	- Maximal number of iterations.

Returns: Parametric coordinates of the point.

§ GetParCoordControlPoints()

su2double * CFreeFormDefBox::GetParCoordControlPoints	(	unsigned short	val_iindex,
		unsigned short	val_jindex,
		unsigned short	val_kindex
	)

inline

Get the parametric coordinates of the control point.

Parameters

[in]	val_iindex	- Value of the local i index of the control point.
[in]	val_jindex	- Value of the local j index of the control point.
[in]	val_kindex	- Value of the local k index of the control point.

Returns: Pointer to the coordinate vector of the control point with local index (i, j, k).

§ GetParentFFDBoxTag()

string CFreeFormDefBox::GetParentFFDBoxTag ( unsigned short val_ParentFFDBox )

inline

_______________.

Parameters

[in] val_ParentFFDBox - _______________.

Returns: _______________.

§ GetPointFFD()

bool CFreeFormDefBox::GetPointFFD	(	CGeometry *	geometry,
		CConfig *	config,
		unsigned long	iPoint
	)

Set, at each vertex, the index of the free form FFDBox that contains the vertex.

Parameters

[in]	geometry	- Geometrical definition of the problem.
[in]	config	- Definition of the particular problem.
[in]	iFFDBox	- Index of the FFDBox.

§ GetTag()

string CFreeFormDefBox::GetTag ( void )

inline

Get the tag that identify a FFDBox.

Returns: Value of the tag that identigy the FFDBox.

§ Set_CartesianCoord() [1/2]

void CFreeFormDefBox::Set_CartesianCoord ( su2double * val_coord )

inline

Add to the vector of cartesian coordinates a new coordinate.

Parameters

[in] val_coord - New coordinate inside the FFD box.

§ Set_CartesianCoord() [2/2]

void CFreeFormDefBox::Set_CartesianCoord	(	su2double *	val_coord,
		unsigned long	val_iSurfacePoints
	)

inline

_______________.

Parameters

[in]	val_coord	- _______________.
[in]	val_iSurfacePoints	- _______________.

§ Set_Fix_IPlane()

void CFreeFormDefBox::Set_Fix_IPlane ( unsigned short val_plane )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Set_Fix_JPlane()

void CFreeFormDefBox::Set_Fix_JPlane ( unsigned short val_plane )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Set_Fix_KPlane()

void CFreeFormDefBox::Set_Fix_KPlane ( unsigned short val_plane )

inline

Define the I planes to to fix in a FFD box.

Parameters

[in] val_plane - Index of the plane to fix.

§ Set_MarkerIndex()

void CFreeFormDefBox::Set_MarkerIndex ( unsigned short val_iMarker )

inline

Add to the vector of markers a new marker.

Parameters

[in] val_iMarker - New marker inside the FFD box.

§ Set_ParametricCoord() [1/2]

void CFreeFormDefBox::Set_ParametricCoord ( su2double * val_coord )

inline

Add to the vector of parametric coordinates a new coordinate.

Parameters

[in] val_coord - New coordinate inside the FFD box.

§ Set_ParametricCoord() [2/2]

void CFreeFormDefBox::Set_ParametricCoord	(	su2double *	val_coord,
		unsigned long	val_iSurfacePoints
	)

inline

_______________.

Parameters

[in]	val_coord	- _______________.
[in]	val_iSurfacePoints	- _______________.

§ Set_PointIndex()

void CFreeFormDefBox::Set_PointIndex ( unsigned long val_iPoint )

inline

Add to the vector of points a new point.

Parameters

[in] val_iPoint - New point inside the FFD box.

§ Set_VertexIndex()

void CFreeFormDefBox::Set_VertexIndex ( unsigned long val_iVertex )

inline

Add to the vector of vertices a new vertex.

Parameters

[in] val_iVertex - New vertex inside the FFD box.

§ SetCart2Cyl_ControlPoints()

void CFreeFormDefBox::SetCart2Cyl_ControlPoints ( CConfig * config )

Set Cartesians to Cylindrical ControlPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetCart2Cyl_CornerPoints()

void CFreeFormDefBox::SetCart2Cyl_CornerPoints ( CConfig * config )

Set Cartesians to Cylindrical CornerPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetCart2Sphe_ControlPoints()

void CFreeFormDefBox::SetCart2Sphe_ControlPoints ( CConfig * config )

SetCartesians to Spherical ControlPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetCart2Sphe_CornerPoints()

void CFreeFormDefBox::SetCart2Sphe_CornerPoints ( CConfig * config )

Set Cartesians to Spherical Corner Points.

Parameters

[in] config - Definition of the particular problem.

§ SetChildFFDBox()

void CFreeFormDefBox::SetChildFFDBox ( string val_iChildFFDBox )

inline

Add to the vector of child FFDBoxes a new FFD FFDBox.

Parameters

[in] val_iChildFFDBox - New child FFDBox in the vector.

§ SetControlPoints()

void CFreeFormDefBox::SetControlPoints	(	unsigned short *	val_index,
		su2double *	movement
	)

inline

Set the new value of the coordinates of the control points.

Parameters

[in]	val_index	- Local index (i, j, k) of the control point.
[in]	movement	- Movement of the control point.

§ SetCoordControlPoints()

void CFreeFormDefBox::SetCoordControlPoints	(	su2double *	val_coord,
		unsigned short	iDegree,
		unsigned short	jDegree,
		unsigned short	kDegree
	)

inline

Set the coordinates of the control points.

Parameters

[in]	val_coord	- Coordinates of the control point.
[in]	iDegree	- Index of the FFDBox, i direction.
[in]	jDegree	- Index of the FFDBox, j direction.
[in]	kDegree	- Index of the FFDBox, k direction.

§ SetCoordControlPoints_Copy()

void CFreeFormDefBox::SetCoordControlPoints_Copy	(	su2double *	val_coord,
		unsigned short	iDegree,
		unsigned short	jDegree,
		unsigned short	kDegree
	)

inline

Set the coordinates of the control points.

Parameters

[in]	val_coord	- Coordinates of the control point.
[in]	iDegree	- Index of the FFDBox, i direction.
[in]	jDegree	- Index of the FFDBox, j direction.
[in]	kDegree	- Index of the FFDBox, k direction.

§ SetCoordCornerPoints() [1/2]

void CFreeFormDefBox::SetCoordCornerPoints	(	su2double *	val_coord,
		unsigned short	val_icornerpoints
	)

inline

Set the coordinates of the corner points.

Parameters

[in]	val_coord	- Coordinates of the corner point with index val_icornerpoints.
[in]	val_icornerpoints	- Index of the corner point.

§ SetCoordCornerPoints() [2/2]

void CFreeFormDefBox::SetCoordCornerPoints	(	su2double	val_xcoord,
		su2double	val_ycoord,
		su2double	val_zcoord,
		unsigned short	val_icornerpoints
	)

inline

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Parameters

[in]	val_xcoord	- X coordinate of the corner point with index val_icornerpoints.
[in]	val_ycoord	- Y coordinate of the corner point with index val_icornerpoints.
[in]	val_zcoord	- Z coordinate of the corner point with index val_icornerpoints.
[in]	val_icornerpoints	- Index of the corner point.

§ SetCyl2Cart_ControlPoints()

void CFreeFormDefBox::SetCyl2Cart_ControlPoints ( CConfig * config )

Set Cylindrical to Cartesians_ControlPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetCyl2Cart_CornerPoints()

void CFreeFormDefBox::SetCyl2Cart_CornerPoints ( CConfig * config )

Set Cylindrical to Cartesians_CornerPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetDeformationZone()

void CFreeFormDefBox::SetDeformationZone	(	CGeometry *	geometry,
		CConfig *	config,
		unsigned short	iFFDBox
	)

Set the zone of the computational domain that is going to be deformed.

Parameters

[in]	geometry	- Geometrical definition of the problem.
[in]	config	- Definition of the particular problem.
[in]	iFFDBox	- Index of the FFDBox.

§ SetLevel()

void CFreeFormDefBox::SetLevel ( unsigned short val_level )

inline

Set the nested level of the FFDBox.

Parameters

[in] val_level - value of the level.

§ SetlOrder()

void CFreeFormDefBox::SetlOrder ( unsigned short val_lOrder )

inline

Get the order in the l direction of the FFD FFDBox.

Returns: Order in the l direction of the FFD FFDBox.

§ SetmOrder()

void CFreeFormDefBox::SetmOrder ( unsigned short val_mOrder )

inline

Get the order in the m direction of the FFD FFDBox.

Returns: Order in the m direction of the FFD FFDBox.

§ SetnControlPoints()

void CFreeFormDefBox::SetnControlPoints ( void )

inline

Get the number of control points.

Returns: Number of control points.

§ SetnCornerPoints()

void CFreeFormDefBox::SetnCornerPoints ( unsigned short val_ncornerpoints )

inline

Set the number of corner points.

Parameters

[in] val_ncornerpoints - Number of corner points.

§ SetnOrder()

void CFreeFormDefBox::SetnOrder ( unsigned short val_nOrder )

inline

Get the order in the n direction of the FFD FFDBox.

Returns: Order in the n direction of the FFD FFDBox.

§ SetParaview()

void CFreeFormDefBox::SetParaview	(	CGeometry *	geometry,
		unsigned short	iFFDBox,
		bool	original
	)

Set the paraview file of the FFD chuck structure.

Parameters

[in]	iFFDBox	- Index of the FFD box.
[in]	original	- Original box (before deformation).

§ SetParCoordControlPoints()

void CFreeFormDefBox::SetParCoordControlPoints	(	su2double *	val_coord,
		unsigned short	iDegree,
		unsigned short	jDegree,
		unsigned short	kDegree
	)

inline

Set the coordinates of the control points.

Parameters

[in]	val_coord	- Coordinates of the control point.
[in]	iDegree	- Index of the FFDBox, i direction.
[in]	jDegree	- Index of the FFDBox, j direction.
[in]	kDegree	- Index of the FFDBox, k direction.

§ SetParentFFDBox()

void CFreeFormDefBox::SetParentFFDBox ( string val_iParentFFDBox )

inline

Add to the vector of parent FFDBoxes a new FFD FFDBox.

Parameters

[in] val_iParentFFDBox - New parent FFDBox in the vector.

§ SetSphe2Cart_ControlPoints()

void CFreeFormDefBox::SetSphe2Cart_ControlPoints ( CConfig * config )

Set Spherical to Cartesians ControlPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetSphe2Cart_CornerPoints()

void CFreeFormDefBox::SetSphe2Cart_CornerPoints ( CConfig * config )

Set Spherical to Cartesians_CornerPoints.

Parameters

[in] config - Definition of the particular problem.

§ SetSupportCP()

void CFreeFormDefBox::SetSupportCP ( CFreeFormDefBox * FFDBox )

Set the control points of the final chuck in a unitary hexahedron free form.

Parameters

[in] FFDBox - Original FFDBox where we want to compute the control points.

§ SetSupportCPChange()

void CFreeFormDefBox::SetSupportCPChange ( CFreeFormDefBox * FFDBox )

Change the the position of the corners of the unitary FFDBox, and find the position of the control points for the FFDBox.

Parameters

[in] FFDBox - Original FFDBox where we want to compute the control points.

§ SetTag()

void CFreeFormDefBox::SetTag ( string val_tag )

inline

Set the tag that identify a FFDBox.

Parameters

[in] val_tag - value of the tag.

§ SetTecplot()

void CFreeFormDefBox::SetTecplot	(	CGeometry *	geometry,
		unsigned short	iFFDBox,
		bool	original
	)

Set the tecplot file of the FFD chuck structure.

Parameters

[in]	iFFDBox	- Index of the FFD box.
[in]	original	- Original box (before deformation).

The documentation for this class was generated from the following files:

Common/include/grid_movement_structure.hpp
Common/include/grid_movement_structure.inl
Common/src/grid_movement_structure.cpp

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

§ CFreeFormDefBox()

Member Function Documentation

§ CrossProduct()

§ Determinant_3x3()

§ DotProduct()

§ EvalCartesianCoord()

§ Get_CartesianCoord()

§ Get_Fix_IPlane()

§ Get_Fix_JPlane()

§ Get_Fix_KPlane()

§ Get_MarkerIndex()

§ Get_nFix_IPlane()

§ Get_nFix_JPlane()

§ Get_nFix_KPlane()

§ Get_ParametricCoord()

§ Get_PointIndex()

§ Get_VertexIndex()

§ GetChildFFDBoxTag()

§ GetCoordControlPoints()

§ GetCoordCornerPoints() [1/2]

§ GetCoordCornerPoints() [2/2]

§ GetDerivative1()

§ GetDerivative2()

§ GetDerivative3()

§ GetDerivative4()

§ GetDerivative5()

§ GetFFDGradient()

§ GetFFDHessian()

§ GetLevel()

§ GetlOrder()

§ GetmOrder()

§ GetnChildFFDBox()

§ GetnControlPoints()

§ GetnCornerPoints()

§ GetnOrder()

§ GetNorm()

§ GetnParentFFDBox()

§ GetnSurfacePoint()

§ GetnSurfacePoints()

§ GetParametricCoord_Analytical()

§ GetParametricCoord_Iterative()

§ GetParCoordControlPoints()

§ GetParentFFDBoxTag()

§ GetPointFFD()

§ GetTag()

§ Set_CartesianCoord() [1/2]

§ Set_CartesianCoord() [2/2]

§ Set_Fix_IPlane()

§ Set_Fix_JPlane()

§ Set_Fix_KPlane()

§ Set_MarkerIndex()

§ Set_ParametricCoord() [1/2]

§ Set_ParametricCoord() [2/2]

§ Set_PointIndex()

§ Set_VertexIndex()

§ SetCart2Cyl_ControlPoints()

§ SetCart2Cyl_CornerPoints()

§ SetCart2Sphe_ControlPoints()

§ SetCart2Sphe_CornerPoints()

§ SetChildFFDBox()

§ SetControlPoints()

§ SetCoordControlPoints()

§ SetCoordControlPoints_Copy()

§ SetCoordCornerPoints() [1/2]

§ SetCoordCornerPoints() [2/2]

§ SetCyl2Cart_ControlPoints()

§ SetCyl2Cart_CornerPoints()

§ SetDeformationZone()

§ SetLevel()

§ SetlOrder()

§ SetmOrder()

§ SetnControlPoints()

§ SetnCornerPoints()

§ SetnOrder()

§ SetParaview()

§ SetParCoordControlPoints()