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Nektar::GlobalMapping::MappingXYofZ Class Reference

#include <MappingXYofZ.h>

Inheritance diagram for Nektar::GlobalMapping::MappingXYofZ:
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Collaboration diagram for Nektar::GlobalMapping::MappingXYofZ:
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Static Public Member Functions

static GLOBAL_MAPPING_EXPORT
MappingSharedPtr 		create (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
 Creates an instance of this class. More...
 
- Static Public Member Functions inherited from Nektar::GlobalMapping::Mapping
static GLOBAL_MAPPING_EXPORT
MappingSharedPtr 		Load (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
 Return a pointer to the mapping, creating it on first call. More...
 

Static Public Attributes

static std::string className
 Name of the class. More...
 

Protected Member Functions

 MappingXYofZ (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
 
virtual GLOBAL_MAPPING_EXPORT void v_InitObject (const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
 
virtual GLOBAL_MAPPING_EXPORT void v_ContravarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_CovarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_ContravarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_CovarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_GetJacobian (Array< OneD, NekDouble > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_DotGradJacobian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_GetMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_GetInvMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelContravar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelCovar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_UpdateGeomInfo ()
 
- Protected Member Functions inherited from Nektar::GlobalMapping::Mapping
GLOBAL_MAPPING_EXPORT Mapping (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
 Constructor. More...
 
GLOBAL_MAPPING_EXPORT void EvaluateFunction (Array< OneD, MultiRegions::ExpListSharedPtr > pFields, LibUtilities::SessionReaderSharedPtr pSession, std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, NekDouble pTime=NekDouble(0))
 
GLOBAL_MAPPING_EXPORT void EvaluateTimeFunction (LibUtilities::SessionReaderSharedPtr pSession, std::string pFieldName, Array< OneD, NekDouble > &pArray, const std::string &pFunctionName, NekDouble pTime=NekDouble(0))
 
virtual GLOBAL_MAPPING_EXPORT void v_GetCartesianCoordinates (Array< OneD, NekDouble > &out0, Array< OneD, NekDouble > &out1, Array< OneD, NekDouble > &out2)
 
virtual GLOBAL_MAPPING_EXPORT void v_GetCoordVelocity (Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_LowerIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_RaiseIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_Divergence (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_VelocityLaplacian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble alpha)
 
virtual GLOBAL_MAPPING_EXPORT void v_gradgradU (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_CurlCurlField (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const bool generalized)
 
virtual GLOBAL_MAPPING_EXPORT void v_UpdateMapping (const NekDouble time, const Array< OneD, Array< OneD, NekDouble > > &coords=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &coordsVel=NullNekDoubleArrayofArray)
 
virtual GLOBAL_MAPPING_EXPORT void v_UpdateBCs (const NekDouble time)
 

Friends

class MemoryManager< MappingXYofZ >
 

Additional Inherited Members

- Public Member Functions inherited from Nektar::GlobalMapping::Mapping
virtual GLOBAL_MAPPING_EXPORT ~Mapping ()
 Destructor. More...
 
GLOBAL_MAPPING_EXPORT void InitObject (const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
 Initialise the mapping object. More...
 
GLOBAL_MAPPING_EXPORT void ReplaceField (const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
 Replace the Expansion List used by the mapping. More...
 
GLOBAL_MAPPING_EXPORT void Output (LibUtilities::FieldMetaDataMap &fieldMetaDataMap, const std::string &outname)
 Output function called when a chk or fld file is written. More...
 
GLOBAL_MAPPING_EXPORT void ContravarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Convert a contravariant vector to the Cartesian system. More...
 
GLOBAL_MAPPING_EXPORT void CovarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Convert a covariant vector to the Cartesian system. More...
 
GLOBAL_MAPPING_EXPORT void ContravarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Convert a contravariant vector to the transformed system. More...
 
GLOBAL_MAPPING_EXPORT void CovarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Convert a covariant vector to the transformed system. More...
 
GLOBAL_MAPPING_EXPORT void GetCartesianCoordinates (Array< OneD, NekDouble > &out0, Array< OneD, NekDouble > &out1, Array< OneD, NekDouble > &out2)
 Get the Cartesian coordinates in the field. More...
 
GLOBAL_MAPPING_EXPORT void GetJacobian (Array< OneD, NekDouble > &outarray)
 Get the Jacobian of the transformation. More...
 
GLOBAL_MAPPING_EXPORT void DotGradJacobian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the dot product with the gradient of the Jacobian. More...
 
GLOBAL_MAPPING_EXPORT void GetMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray)
 Get the metric tensor $g_{ij}$. More...
 
GLOBAL_MAPPING_EXPORT void GetInvMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray)
 Get the inverse of metric tensor $g^{ij}$. More...
 
GLOBAL_MAPPING_EXPORT void LowerIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Lower index of vector: $v_{i} = g_{ij}*v^{j}$. More...
 
GLOBAL_MAPPING_EXPORT void RaiseIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Raise index of vector: $v^{i} = g^{ij}*v_{j}$. More...
 
GLOBAL_MAPPING_EXPORT void ApplyChristoffelContravar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Apply the Christoffel symbols to a contravariant vector. More...
 
GLOBAL_MAPPING_EXPORT void ApplyChristoffelCovar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Apply the Christoffel symbols to a covariant vector. More...
 
GLOBAL_MAPPING_EXPORT void GetCoordVelocity (Array< OneD, Array< OneD, NekDouble > > &outarray)
 Obtain the velocity of the coordinates. More...
 
GLOBAL_MAPPING_EXPORT void Divergence (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the generalised divergence operator. More...
 
GLOBAL_MAPPING_EXPORT void VelocityLaplacian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble alpha=0.0)
 Generalised (correction to the) velocity Laplacian operator. More...
 
GLOBAL_MAPPING_EXPORT void gradgradU (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 Second order covariant derivatives of a contravariant vector. More...
 
GLOBAL_MAPPING_EXPORT void CurlCurlField (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const bool generalized)
 CurlCurl calculated on the whole field. More...
 
GLOBAL_MAPPING_EXPORT bool IsTimeDependent ()
 Get flag defining if mapping is time-dependent. More...
 
GLOBAL_MAPPING_EXPORT void SetTimeDependent (const bool value)
 Set flag defining if mapping is time-dependent. More...
 
GLOBAL_MAPPING_EXPORT bool IsFromFunction ()
 Get flag defining if mapping is defined by a function. More...
 
GLOBAL_MAPPING_EXPORT void SetFromFunction (const bool value)
 Set flag defining if mapping is defined by a function. More...
 
GLOBAL_MAPPING_EXPORT bool HasConstantJacobian ()
 Get flag defining if mapping has constant Jacobian. More...
 
GLOBAL_MAPPING_EXPORT bool IsDefined ()
 Get flag determining if the mapping was defined or is trivial. More...
 
GLOBAL_MAPPING_EXPORT void UpdateBCs (const NekDouble time)
 Update the Dirichlet Boundary Conditions when using Mappings. More...
 
GLOBAL_MAPPING_EXPORT void UpdateMapping (const NekDouble time, const Array< OneD, Array< OneD, NekDouble > > &coords=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &coordsVel=NullNekDoubleArrayofArray)
 Update the Mapping with new coordinates. More...
 
GLOBAL_MAPPING_EXPORT void UpdateGeomInfo ()
 Recompute the metric terms of the Mapping. More...
 
- Protected Attributes inherited from Nektar::GlobalMapping::Mapping
LibUtilities::SessionReaderSharedPtr m_session
 Session reader. More...
 
LibUtilities::FieldIOSharedPtr m_fld
 
Array< OneD,
MultiRegions::ExpListSharedPtr > 		m_fields
 
Array< OneD, Array< OneD,
NekDouble > > 		m_coords
 Array with the Cartesian coordinates. More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_coordsVel
 Array with the velocity of the coordinates. More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_GeometricInfo
 Array with metric terms of the mapping. More...
 
int m_nConvectiveFields
 Number of velocity components. More...
 
std::string m_funcName
 Name of the function containing the coordinates. More...
 
std::string m_velFuncName
 Name of the function containing the velocity of the coordinates. More...
 
bool m_constantJacobian
 Flag defining if the Jacobian is constant. More...
 
bool m_timeDependent
 Flag defining if the Mapping is time-dependent. More...
 
bool m_fromFunction
 Flag defining if the Mapping is defined by a function. More...
 
Array< OneD, Array< OneD,
NekDouble > > 		m_wk1
 
Array< OneD, Array< OneD,
NekDouble > > 		m_wk2
 
Array< OneD, Array< OneD,
NekDouble > > 		m_tmp
 
- Static Protected Attributes inherited from Nektar::GlobalMapping::Mapping
static MappingSharedPtr m_mappingPtr = MappingSharedPtr()
 
static bool m_init = false
 
static bool m_isDefined = false
 

Detailed Description

This class implements a constant-Jacobian mapping defined by

\[ \bar{x} = \bar{x}(x,z) = x + f(z) \]

\[ \bar{y} = \bar{y}(y,z) = y + g(z) \]

\[ \bar{z} = z \]

where $(\bar{x},\bar{y},\bar{z})$ are the Cartesian (physical) coordinates and $(x,y,z)$ are the transformed (computational) coordinates.

Definition at line 51 of file MappingXYofZ.h.

Constructor & Destructor Documentation

Nektar::GlobalMapping::MappingXYofZ::MappingXYofZ ( const LibUtilities::SessionReaderSharedPtr &  pSession,
const Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields 
)
protected

Definition at line 58 of file MappingXYofZ.cpp.

61  : Mapping(pSession, pFields)
62 {
63 }
Nektar::GlobalMapping::Mapping::Mapping
GLOBAL_MAPPING_EXPORT Mapping(const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
Constructor.
Definition: Mapping.cpp:57

Member Function Documentation

static GLOBAL_MAPPING_EXPORT MappingSharedPtr Nektar::GlobalMapping::MappingXYofZ::create ( const LibUtilities::SessionReaderSharedPtr &  pSession,
const Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields,
const TiXmlElement *  pMapping 
)
inlinestatic

Creates an instance of this class.

Definition at line 59 of file MappingXYofZ.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::GlobalMapping::MappingSharedPtr.

63  {
64  MappingSharedPtr p =
65  MemoryManager<MappingXYofZ>::AllocateSharedPtr(pSession,
66  pFields);
67  p->InitObject(pFields, pMapping);
68  return p;
69  }
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::GlobalMapping::MappingSharedPtr
GLOBAL_MAPPING_EXPORT typedef boost::shared_ptr< Mapping > MappingSharedPtr
A shared pointer to a Mapping object.
Definition: Mapping.h:51
void Nektar::GlobalMapping::MappingXYofZ::v_ApplyChristoffelContravar ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 247 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Nektar::GlobalMapping::Mapping::m_nConvectiveFields, and Vmath::Vmul().

250 {
251  int physTot = m_fields[0]->GetTotPoints();
252  int nvel = m_nConvectiveFields;
253 
254  for (int i = 0; i< nvel; i++)
255  {
256  for (int j = 0; j< nvel; j++)
257  {
258  outarray[i*nvel+j] = Array<OneD, NekDouble>(physTot,0.0);
259  }
260  }
261 
262  // Calculate non-zero terms
263 
264  // outarray(0,2) = U3 * fzz
265  Vmath::Vmul(physTot,m_GeometricInfo[1],1,inarray[2],1,
266  outarray[0*nvel+2],1);
267 
268  // outarray(1,2) = U3 * gzz
269  Vmath::Vmul(physTot,m_GeometricInfo[4],1,inarray[2],1,
270  outarray[1*nvel+2],1);
271 
272 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Nektar::GlobalMapping::Mapping::m_nConvectiveFields
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXYofZ::v_ApplyChristoffelCovar ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 274 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Nektar::GlobalMapping::Mapping::m_nConvectiveFields, Vmath::Vmul(), and Vmath::Vvtvp().

277 {
278  int physTot = m_fields[0]->GetTotPoints();
279  int nvel = m_nConvectiveFields;
280 
281  for (int i = 0; i< nvel; i++)
282  {
283  for (int j = 0; j< nvel; j++)
284  {
285  outarray[i*nvel+j] = Array<OneD, NekDouble>(physTot,0.0);
286  }
287  }
288 
289  // Calculate non-zero terms
290 
291  // outarray(2,2) = U1 * fzz + U^2 * gzz
292  Vmath::Vmul(physTot,m_GeometricInfo[1],1,inarray[0],1,outarray[2*nvel+2],1);
293  Vmath::Vvtvp(physTot, m_GeometricInfo[4], 1, inarray[1], 1,
294  outarray[2*nvel+2], 1, outarray[2*nvel+2],1);
295 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:428
Nektar::GlobalMapping::Mapping::m_nConvectiveFields
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXYofZ::v_ContravarFromCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 118 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Vmath::Vcopy(), Vmath::Vmul(), and Vmath::Vsub().

121 {
122  int physTot = m_fields[0]->GetTotPoints();
123  Array<OneD, NekDouble> wk(physTot, 0.0);
124 
125  // U1 = u1 - fz * u3
126  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[2], 1, wk, 1);
127  Vmath::Vsub(physTot, inarray[0], 1, wk, 1, outarray[0], 1);
128 
129  // U2 = u2 - gz*u3
130  Vmath::Vmul(physTot, m_GeometricInfo[3], 1, inarray[2], 1, wk, 1);
131  Vmath::Vsub(physTot, inarray[1], 1, wk, 1, outarray[1], 1);
132 
133  // U3 = u3
134  Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
135 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Vsub
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXYofZ::v_ContravarToCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 80 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Vmath::Vcopy(), and Vmath::Vvtvp().

83 {
84  int physTot = m_fields[0]->GetTotPoints();
85 
86  // U1 = u1 + fz*u3
87  Vmath::Vvtvp(physTot, m_GeometricInfo[0], 1, inarray[2], 1,
88  inarray[0], 1, outarray[0],1);
89 
90  // U2 = u2 + gz*u3
91  Vmath::Vvtvp(physTot, m_GeometricInfo[3], 1, inarray[2], 1,
92  inarray[1], 1, outarray[1],1);
93 
94  // U3 = u3
95  Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
96 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:428
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Nektar::GlobalMapping::MappingXYofZ::v_CovarFromCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 137 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Vmath::Vadd(), Vmath::Vcopy(), Vmath::Vmul(), and Vmath::Vvtvp().

140 {
141  int physTot = m_fields[0]->GetTotPoints();
142 
143  // U1 = u1
144  Vmath::Vcopy(physTot, inarray[0], 1, outarray[0], 1);
145 
146  // U2 = u2
147  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
148 
149  // U3 = u3 + fz*u1 + gz*u2
150  Vmath::Vmul(physTot, m_GeometricInfo[0], 1,
151  inarray[0], 1, outarray[2], 1);
152  Vmath::Vvtvp(physTot, m_GeometricInfo[3], 1, inarray[1], 1,
153  outarray[2], 1, outarray[2], 1);
154  Vmath::Vadd(physTot, inarray[2], 1, outarray[2], 1, outarray[2], 1);
155 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:428
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXYofZ::v_CovarToCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 98 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Vmath::Vcopy(), Vmath::Vmul(), and Vmath::Vsub().

101 {
102  int physTot = m_fields[0]->GetTotPoints();
103  Array<OneD, NekDouble> wk(physTot, 0.0);
104 
105  // U1 = u1
106  Vmath::Vcopy(physTot, inarray[0], 1, outarray[0], 1);
107 
108  // U2 = u2
109  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
110 
111  // U3 = u3 - fz*u1 - gz*u2
112  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1, wk, 1);
113  Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
114  Vmath::Vmul(physTot, m_GeometricInfo[3], 1, inarray[1], 1, wk, 1);
115  Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
116 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Vsub
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXYofZ::v_DotGradJacobian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 164 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, and Vmath::Zero().

167 {
168  int physTot = m_fields[0]->GetTotPoints();
169  Vmath::Zero(physTot, outarray, 1);
170 }
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
void Nektar::GlobalMapping::MappingXYofZ::v_GetInvMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 204 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Nektar::GlobalMapping::Mapping::m_nConvectiveFields, Vmath::Neg(), Vmath::Sadd(), Vmath::Vadd(), and Vmath::Vcopy().

206 {
207  int physTot = m_fields[0]->GetTotPoints();
208  int nvel = m_nConvectiveFields;
209  Array<OneD, NekDouble> wk(physTot, 0.0);
210 
211  for (int i=0; i<nvel*nvel; i++)
212  {
213  outarray[i] = Array<OneD, NekDouble> (physTot, 0.0);
214  }
215  // Fill diagonal with 1.0
216  for (int i=0; i<nvel; i++)
217  {
218  Vmath::Sadd(physTot, 1.0, outarray[i*nvel+i], 1,
219  outarray[i*nvel+i], 1);
220  }
221 
222  // G^{11} = 1+fz^2
223  Vmath::Vadd(physTot, outarray[0*nvel+0], 1, m_GeometricInfo[2], 1,
224  outarray[0*nvel+0], 1);
225 
226  // G^{22} = 1+gz^2
227  Vmath::Vadd(physTot, outarray[1*nvel+1], 1, m_GeometricInfo[5], 1,
228  outarray[1*nvel+1], 1);
229 
230  // G^{12} and G^{21} = fz*gz
231  Vmath::Vcopy(physTot, m_GeometricInfo[6],1, outarray[0*nvel+1], 1);
232  Vmath::Vcopy(physTot, outarray[0*nvel+1], 1, outarray[1*nvel+0], 1);
233 
234  // G^{13} and G^{31} = -fz
235  Vmath::Vcopy(physTot, m_GeometricInfo[0],1,wk,1); // fz
236  Vmath::Neg(physTot, wk, 1);
237  Vmath::Vcopy(physTot, wk, 1, outarray[0*nvel+2], 1);
238  Vmath::Vcopy(physTot, wk, 1, outarray[2*nvel+0], 1);
239 
240  // G^{23} and G^{32} = -gz
241  Vmath::Vcopy(physTot, m_GeometricInfo[3],1,wk,1); // fz
242  Vmath::Neg(physTot, wk, 1);
243  Vmath::Vcopy(physTot, wk, 1, outarray[1*nvel+2], 1);
244  Vmath::Vcopy(physTot, wk, 1, outarray[2*nvel+1], 1);
245 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Nektar::GlobalMapping::Mapping::m_nConvectiveFields
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:382
Vmath::Sadd
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Nektar::GlobalMapping::MappingXYofZ::v_GetJacobian ( Array< OneD, NekDouble > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 157 of file MappingXYofZ.cpp.

References Vmath::Fill(), and Nektar::GlobalMapping::Mapping::m_fields.

159 {
160  int physTot = m_fields[0]->GetTotPoints();
161  Vmath::Fill(physTot, 1.0, outarray, 1);
162 }
Vmath::Fill
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.cpp:46
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Nektar::GlobalMapping::MappingXYofZ::v_GetMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 172 of file MappingXYofZ.cpp.

References Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, Nektar::GlobalMapping::Mapping::m_nConvectiveFields, Vmath::Sadd(), Vmath::Vadd(), and Vmath::Vcopy().

174 {
175  int physTot = m_fields[0]->GetTotPoints();
176  int nvel = m_nConvectiveFields;
177 
178  for (int i=0; i<nvel*nvel; i++)
179  {
180  outarray[i] = Array<OneD, NekDouble> (physTot, 0.0);
181  }
182  // Fill diagonal with 1.0
183  for (int i=0; i<nvel; i++)
184  {
185  Vmath::Sadd(physTot, 1.0, outarray[i*nvel+i], 1,
186  outarray[i*nvel+i], 1);
187  }
188 
189  // G_{13} and G_{31} = fz
190  Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray[0*nvel+2], 1);
191  Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray[2*nvel+0], 1);
192 
193  // G_{23} and G_{32} = gz
194  Vmath::Vcopy(physTot, m_GeometricInfo[3], 1, outarray[1*nvel+2], 1);
195  Vmath::Vcopy(physTot, m_GeometricInfo[3], 1, outarray[2*nvel+1], 1);
196 
197  // G^{33} = (1+fz^2 + gz^2)
198  Vmath::Vadd(physTot, m_GeometricInfo[2], 1, outarray[2*nvel+2], 1,
199  outarray[2*nvel+2], 1);
200  Vmath::Vadd(physTot, m_GeometricInfo[5], 1, outarray[2*nvel+2], 1,
201  outarray[2*nvel+2], 1);
202 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Nektar::GlobalMapping::Mapping::m_nConvectiveFields
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Vmath::Sadd
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Nektar::GlobalMapping::MappingXYofZ::v_InitObject ( const Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields,
const TiXmlElement *  pMapping 
)
protectedvirtual

This function initialises the Mapping object. It computes the coordinates and velocity coordinates, initialises the workspace variables, and calls UpdateGeomInfo, which will perform the calculations specific for each type of Mapping.

Parameters
pFieldsExpList array used in the mapping
pMappingxml element describing the mapping

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 68 of file MappingXYofZ.cpp.

References ASSERTL0, Nektar::GlobalMapping::Mapping::m_constantJacobian, Nektar::GlobalMapping::Mapping::m_nConvectiveFields, and Nektar::GlobalMapping::Mapping::v_InitObject().

71 {
72  Mapping::v_InitObject(pFields, pMapping);
73 
74  m_constantJacobian = true;
75 
76  ASSERTL0(m_nConvectiveFields==3,
77  "Mapping X = x + f(z), Y = y+g(z) needs 3 velocity components.");
78 }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::GlobalMapping::Mapping::m_nConvectiveFields
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Nektar::GlobalMapping::Mapping::v_InitObject
virtual GLOBAL_MAPPING_EXPORT void v_InitObject(const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
Definition: Mapping.cpp:100
Nektar::GlobalMapping::Mapping::m_constantJacobian
bool m_constantJacobian
Flag defining if the Jacobian is constant.
Definition: Mapping.h:427
void Nektar::GlobalMapping::MappingXYofZ::v_UpdateGeomInfo ( )
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 297 of file MappingXYofZ.cpp.

References Nektar::MultiRegions::DirCartesianMap, Nektar::GlobalMapping::Mapping::m_coords, Nektar::GlobalMapping::Mapping::m_fields, Nektar::GlobalMapping::Mapping::m_GeometricInfo, and Vmath::Vmul().

298 {
299  int phystot = m_fields[0]->GetTotPoints();
300  // Allocation of geometry memory
301  m_GeometricInfo = Array<OneD, Array<OneD, NekDouble> >(7);
302  for (int i = 0; i < m_GeometricInfo.num_elements(); i++)
303  {
304  m_GeometricInfo[i] = Array<OneD, NekDouble>(phystot, 0.0);
305  }
306 
307  bool waveSpace = m_fields[0]->GetWaveSpace();
308  m_fields[0]->SetWaveSpace(false);
309 
310  // Calculate derivatives of x transformation --> m_GeometricInfo 0-1
311  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
312  m_coords[0],m_GeometricInfo[0]);
313  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
314  m_GeometricInfo[0],m_GeometricInfo[1]);
315  // m_GeometricInfo[2] = fz^2
316  Vmath::Vmul(phystot,m_GeometricInfo[0],1,m_GeometricInfo[0],1,
317  m_GeometricInfo[2],1);
318 
319  // Calculate derivatives of transformation -> m_GeometricInfo 3-4
320  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
321  m_coords[1],m_GeometricInfo[3]);
322  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
323  m_GeometricInfo[3],m_GeometricInfo[4]);
324  // m_GeometricInfo[5] = gz^2
325  Vmath::Vmul(phystot,m_GeometricInfo[3],1,m_GeometricInfo[3],1,
326  m_GeometricInfo[5],1);
327 
328  // m_GeometricInfo[6] = gz*fz
329  Vmath::Vmul(phystot,m_GeometricInfo[0],1,m_GeometricInfo[3],1,
330  m_GeometricInfo[6],1);
331 
332  m_fields[0]->SetWaveSpace(waveSpace);
333 }
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Nektar::GlobalMapping::Mapping::m_coords
Array< OneD, Array< OneD, NekDouble > > m_coords
Array with the Cartesian coordinates.
Definition: Mapping.h:411
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
Nektar::MultiRegions::DirCartesianMap
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:86
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169

Friends And Related Function Documentation

friend class MemoryManager< MappingXYofZ >
friend

Definition at line 55 of file MappingXYofZ.h.

Member Data Documentation

std::string Nektar::GlobalMapping::MappingXYofZ::className
static
Initial value:
=
GetMappingFactory().RegisterCreatorFunction("XYofZ",
MappingXYofZ::create, "X = x + f(z), Y = y +g(z)")

Name of the class.

Definition at line 72 of file MappingXYofZ.h.

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