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Nektar::GlobalMapping::MappingXofXZ Class Reference

#include <MappingXofXZ.h>

Inheritance diagram for Nektar::GlobalMapping::MappingXofXZ:
[legend]

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

 MappingXofXZ (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
 
GLOBAL_MAPPING_EXPORT void v_InitObject (const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping) override
 
GLOBAL_MAPPING_EXPORT void v_ContravarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_CovarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_ContravarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_CovarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_GetJacobian (Array< OneD, NekDouble > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_DotGradJacobian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_GetMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_GetInvMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_LowerIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_RaiseIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelContravar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelCovar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
GLOBAL_MAPPING_EXPORT void v_UpdateGeomInfo () override
 
- 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_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)=0
 
virtual GLOBAL_MAPPING_EXPORT void v_CovarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)=0
 
virtual GLOBAL_MAPPING_EXPORT void v_ContravarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)=0
 
virtual GLOBAL_MAPPING_EXPORT void v_CovarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)=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_GetJacobian (Array< OneD, NekDouble > &outarray)=0
 
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)=0
 
virtual GLOBAL_MAPPING_EXPORT void v_GetInvMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray)=0
 
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_ApplyChristoffelContravar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)=0
 
virtual GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelCovar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)=0
 
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 (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_UpdateGeomInfo ()=0
 
virtual GLOBAL_MAPPING_EXPORT void v_UpdateBCs (const NekDouble time)
 

Friends

class MemoryManager< MappingXofXZ >
 

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 (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 mapping defined by a transformation of the type

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

\[ \bar{y} = y \]

\[ \bar{z} = z \]

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

Definition at line 43 of file MappingXofXZ.h.

Constructor & Destructor Documentation

◆ MappingXofXZ()

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

Definition at line 55 of file MappingXofXZ.cpp.

58 : Mapping(pSession, pFields)
59{
60}
Nektar::GlobalMapping::Mapping::Mapping
GLOBAL_MAPPING_EXPORT Mapping(const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
Constructor.
Definition: Mapping.cpp:53

Member Function Documentation

◆ create()

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

Creates an instance of this class.

Definition at line 50 of file MappingXofXZ.h.

54 {
55 MappingSharedPtr p =
56 MemoryManager<MappingXofXZ>::AllocateSharedPtr(pSession, pFields);
57 p->InitObject(pFields, pMapping);
58 return p;
59 }
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
CellMLToNektar.cellml_metadata.p
p
Definition: cellml_metadata.py:350
Nektar::GlobalMapping::MappingSharedPtr
GLOBAL_MAPPING_EXPORT typedef std::shared_ptr< Mapping > MappingSharedPtr
A shared pointer to a Mapping object.
Definition: Mapping.h:57

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

◆ v_ApplyChristoffelContravar()

void Nektar::GlobalMapping::MappingXofXZ::v_ApplyChristoffelContravar ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 294 of file MappingXofXZ.cpp.

297{
298 int physTot = m_fields[0]->GetTotPoints();
299 int nvel = m_nConvectiveFields;
300 Array<OneD, NekDouble> wk(physTot, 0.0);
301
302 for (int i = 0; i < nvel; i++)
303 {
304 for (int j = 0; j < nvel; j++)
305 {
306 outarray[i * nvel + j] = Array<OneD, NekDouble>(physTot, 0.0);
307 }
308 }
309
310 // Calculate non-zero terms
311
312 // outarray(0,0) = U1 * fxx/fx + U3 * fxz/fx
313 Vmath::Vdiv(physTot, m_GeometricInfo[2], 1, m_GeometricInfo[0], 1, wk, 1);
314 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 0], 1);
315 Vmath::Vdiv(physTot, m_GeometricInfo[3], 1, m_GeometricInfo[0], 1, wk, 1);
316 Vmath::Vvtvp(physTot, wk, 1, inarray[2], 1, outarray[0 * nvel + 0], 1,
317 outarray[0 * nvel + 0], 1);
318
319 // outarray(0,2) = U1 * fxz/fx + U3 * fzz/fx
320 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 2], 1);
321 Vmath::Vdiv(physTot, m_GeometricInfo[4], 1, m_GeometricInfo[0], 1, wk, 1);
322 Vmath::Vvtvp(physTot, wk, 1, inarray[2], 1, outarray[0 * nvel + 2], 1,
323 outarray[0 * nvel + 2], 1);
324}
Nektar::GlobalMapping::Mapping::m_nConvectiveFields
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:418
Nektar::GlobalMapping::Mapping::m_GeometricInfo
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:416
Nektar::GlobalMapping::Mapping::m_fields
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:410
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.hpp:72
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.hpp:366
Vmath::Vdiv
void Vdiv(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.hpp:126

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

◆ v_ApplyChristoffelCovar()

void Nektar::GlobalMapping::MappingXofXZ::v_ApplyChristoffelCovar ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 326 of file MappingXofXZ.cpp.

329{
330 int physTot = m_fields[0]->GetTotPoints();
331 int nvel = m_nConvectiveFields;
332 Array<OneD, NekDouble> wk(physTot, 0.0);
333
334 for (int i = 0; i < nvel; i++)
335 {
336 for (int j = 0; j < nvel; j++)
337 {
338 outarray[i * nvel + j] = Array<OneD, NekDouble>(physTot, 0.0);
339 }
340 }
341
342 // Calculate non-zero terms
343
344 // outarray(0,0) = U1 * fxx/fx
345 Vmath::Vdiv(physTot, m_GeometricInfo[2], 1, m_GeometricInfo[0], 1, wk, 1);
346 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 0], 1);
347
348 // outarray(0,2) = outarray(2,0) = U1 * fxz/fx
349 Vmath::Vdiv(physTot, m_GeometricInfo[3], 1, m_GeometricInfo[0], 1, wk, 1);
350 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 2], 1);
351 Vmath::Vcopy(physTot, outarray[0 * nvel + 2], 1, outarray[2 * nvel + 0], 1);
352
353 // outarray(2,2) = U1 * fzz/fx
354 Vmath::Vdiv(physTot, m_GeometricInfo[4], 1, m_GeometricInfo[0], 1, wk, 1);
355 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[2 * nvel + 2], 1);
356}
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:825

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

◆ v_ContravarFromCartesian()

void Nektar::GlobalMapping::MappingXofXZ::v_ContravarFromCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 111 of file MappingXofXZ.cpp.

114{
115 int physTot = m_fields[0]->GetTotPoints();
116 Array<OneD, NekDouble> wk(physTot, 0.0);
117
118 // U1 = u1/fx - fz/fx * u3
119 Vmath::Vdiv(physTot, inarray[0], 1, m_GeometricInfo[0], 1, outarray[0], 1);
120 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk, 1);
121 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, wk, 1);
122 Vmath::Vsub(physTot, outarray[0], 1, wk, 1, outarray[0], 1);
123
124 // U2 = u2
125 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
126
127 // U3 = u3
128 Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
129}
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.hpp:220

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

◆ v_ContravarToCartesian()

void Nektar::GlobalMapping::MappingXofXZ::v_ContravarToCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 74 of file MappingXofXZ.cpp.

77{
78 int physTot = m_fields[0]->GetTotPoints();
79
80 // U1 = fx*u1 + fz*u3
81 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1, outarray[0], 1);
82 Vmath::Vvtvp(physTot, m_GeometricInfo[1], 1, inarray[2], 1, outarray[0], 1,
83 outarray[0], 1);
84
85 // U2 = u2
86 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
87
88 // U3 = u3
89 Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
90}

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

◆ v_CovarFromCartesian()

void Nektar::GlobalMapping::MappingXofXZ::v_CovarFromCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 131 of file MappingXofXZ.cpp.

134{
135 int physTot = m_fields[0]->GetTotPoints();
136
137 // U1 = u1*fx
138 Vmath::Vmul(physTot, inarray[0], 1, m_GeometricInfo[0], 1, outarray[0], 1);
139
140 // U2 = u2
141 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
142
143 // U3 = u3 + fz*u1
144 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, inarray[0], 1, outarray[2], 1);
145 Vmath::Vadd(physTot, inarray[2], 1, outarray[2], 1, outarray[2], 1);
146}
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.hpp:180

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

◆ v_CovarToCartesian()

void Nektar::GlobalMapping::MappingXofXZ::v_CovarToCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 92 of file MappingXofXZ.cpp.

95{
96 int physTot = m_fields[0]->GetTotPoints();
97 Array<OneD, NekDouble> wk(physTot, 0.0);
98
99 // U1 = u1/fx
100 Vmath::Vdiv(physTot, inarray[0], 1, m_GeometricInfo[0], 1, outarray[0], 1);
101
102 // U2 = u2
103 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
104
105 // U3 = u3 - fz/fx*u1
106 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk, 1);
107 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, wk, 1);
108 Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
109}

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

◆ v_DotGradJacobian()

void Nektar::GlobalMapping::MappingXofXZ::v_DotGradJacobian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 154 of file MappingXofXZ.cpp.

157{
158 int physTot = m_fields[0]->GetTotPoints();
159
160 Vmath::Vmul(physTot, m_GeometricInfo[2], 1, inarray[0], 1, outarray, 1);
161 Vmath::Vvtvp(physTot, m_GeometricInfo[3], 1, inarray[2], 1, outarray, 1,
162 outarray, 1);
163}

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

◆ v_GetInvMetricTensor()

void Nektar::GlobalMapping::MappingXofXZ::v_GetInvMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 200 of file MappingXofXZ.cpp.

202{
203 int physTot = m_fields[0]->GetTotPoints();
204 int nvel = m_nConvectiveFields;
205 Array<OneD, NekDouble> wk(physTot, 0.0);
206
207 for (int i = 0; i < nvel * nvel; i++)
208 {
209 outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
210 }
211 // Fill diagonal with 1.0
212 for (int i = 0; i < nvel; i++)
213 {
214 Vmath::Sadd(physTot, 1.0, outarray[i + nvel * i], 1,
215 outarray[i + nvel * i], 1);
216 }
217
218 // G^{13} and G^{31} = -fz/fx
219 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk,
220 1); // fz/fx
221 Vmath::Neg(physTot, wk, 1);
222 Vmath::Vcopy(physTot, wk, 1, outarray[0 * nvel + 2], 1);
223 Vmath::Vcopy(physTot, wk, 1, outarray[2 * nvel + 0], 1);
224
225 // G^{11} = (1+fz^2)/(fx^2)
226 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk,
227 1); // fz^2
228 Vmath::Vadd(physTot, wk, 1, outarray[0 * nvel + 0], 1,
229 outarray[0 * nvel + 0], 1);
230
231 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1, wk,
232 1); // fx^2
233 Vmath::Vdiv(physTot, outarray[0 * nvel + 0], 1, wk, 1,
234 outarray[0 * nvel + 0], 1);
235}
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.hpp:292
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.hpp:194

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

◆ v_GetJacobian()

void Nektar::GlobalMapping::MappingXofXZ::v_GetJacobian ( Array< OneD, NekDouble > &  outarray)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 148 of file MappingXofXZ.cpp.

149{
150 int physTot = m_fields[0]->GetTotPoints();
151 Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray, 1);
152}

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

◆ v_GetMetricTensor()

void Nektar::GlobalMapping::MappingXofXZ::v_GetMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 165 of file MappingXofXZ.cpp.

167{
168 int physTot = m_fields[0]->GetTotPoints();
169 int nvel = m_nConvectiveFields;
170 Array<OneD, NekDouble> wk(physTot, 0.0);
171
172 for (int i = 0; i < nvel * nvel; i++)
173 {
174 outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
175 }
176 // Fill G^{22} and G^{33} with 1.0
177 for (int i = 1; i < nvel; i++)
178 {
179 Vmath::Sadd(physTot, 1.0, outarray[i + nvel * i], 1,
180 outarray[i + nvel * i], 1);
181 }
182
183 // G_{13} and G_{31} = fz*fx
184 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk,
185 1); // fz*fx
186 Vmath::Vcopy(physTot, wk, 1, outarray[0 * nvel + 2], 1);
187 Vmath::Vcopy(physTot, wk, 1, outarray[2 * nvel + 0], 1);
188
189 // G^{11} = (fx^2)
190 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1,
191 outarray[0 * nvel + 0], 1);
192
193 // G^{33} = (1+fz^2)
194 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk,
195 1); // fz^2
196 Vmath::Vadd(physTot, wk, 1, outarray[2 * nvel + 2], 1,
197 outarray[2 * nvel + 2], 1);
198}

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

◆ v_InitObject()

void Nektar::GlobalMapping::MappingXofXZ::v_InitObject ( const Array< OneD, MultiRegions::ExpListSharedPtr > &  pFields,
const TiXmlElement *  pMapping 
)
overrideprotectedvirtual

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 62 of file MappingXofXZ.cpp.

65{
66 Mapping::v_InitObject(pFields, pMapping);
67
68 m_constantJacobian = false;
69
70 ASSERTL0(m_nConvectiveFields == 3,
71 "Mapping X = X(x,z) needs 3 velocity components.");
72}
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:208
Nektar::GlobalMapping::Mapping::v_InitObject
virtual GLOBAL_MAPPING_EXPORT void v_InitObject(const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
Definition: Mapping.cpp:95
Nektar::GlobalMapping::Mapping::m_constantJacobian
bool m_constantJacobian
Flag defining if the Jacobian is constant.
Definition: Mapping.h:427

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

◆ v_LowerIndex()

void Nektar::GlobalMapping::MappingXofXZ::v_LowerIndex ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 237 of file MappingXofXZ.cpp.

240{
241 int physTot = m_fields[0]->GetTotPoints();
242 Array<OneD, NekDouble> wk(physTot, 0.0);
243
244 // out[0] = in[0]*fx^2 + in[2] * fz*fx
245 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk,
246 1); // fz*fx
247 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, outarray[0], 1); // in[2]*fz*fx
248 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[2], 1); // in[0]*fz*fx
249
250 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1, wk,
251 1); // fx^2
252 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, wk, 1); // in[0]*fx^2
253
254 Vmath::Vadd(physTot, outarray[0], 1, wk, 1, outarray[0], 1);
255
256 // out[1] = in[1]
257 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
258
259 // out[2] = fx*fz*in[0] + (1+fz^2)*in[2]
260 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk,
261 1); // fz^2
262 Vmath::Sadd(physTot, 1.0, wk, 1, wk, 1); // 1+fz^2
263 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, wk, 1); // (1+fz^2)*in[2]
264
265 Vmath::Vadd(physTot, wk, 1, outarray[2], 1, outarray[2], 1);
266}

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

◆ v_RaiseIndex()

void Nektar::GlobalMapping::MappingXofXZ::v_RaiseIndex ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
overrideprotectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 268 of file MappingXofXZ.cpp.

271{
272 int physTot = m_fields[0]->GetTotPoints();
273 Array<OneD, NekDouble> wk(physTot, 0.0);
274 Array<OneD, NekDouble> wk_2(physTot, 0.0);
275
276 // out[2] = in[2] - in[0] * fz/fx
277 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk, 1);
278 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[2], 1);
279 Vmath::Vsub(physTot, inarray[2], 1, outarray[2], 1, outarray[2], 1);
280
281 // out[0] = in[0]*(1+fz^2)/(fx^2) - in[2] * fz/fx
282 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, outarray[0], 1);
283 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk, 1);
284 Vmath::Sadd(physTot, 1.0, wk, 1, wk, 1);
285 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1, wk_2, 1);
286 Vmath::Vdiv(physTot, wk, 1, wk_2, 1, wk, 1);
287 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, wk, 1);
288 Vmath::Vsub(physTot, wk, 1, outarray[0], 1, outarray[0], 1);
289
290 // out[1] = in[1]
291 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
292}

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

◆ v_UpdateGeomInfo()

void Nektar::GlobalMapping::MappingXofXZ::v_UpdateGeomInfo ( )
overrideprotectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 358 of file MappingXofXZ.cpp.

359{
360 int phystot = m_fields[0]->GetTotPoints();
361 // Allocation of geometry memory
362 m_GeometricInfo = Array<OneD, Array<OneD, NekDouble>>(5);
363 for (int i = 0; i < m_GeometricInfo.size(); i++)
364 {
365 m_GeometricInfo[i] = Array<OneD, NekDouble>(phystot, 0.0);
366 }
367
368 bool waveSpace = m_fields[0]->GetWaveSpace();
369 m_fields[0]->SetWaveSpace(false);
370
371 // Calculate derivatives of transformation
372 m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[0], m_coords[0],
373 m_GeometricInfo[0]); // f_x
374 m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2], m_coords[0],
375 m_GeometricInfo[1]); // f_z
376
377 m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[0], m_GeometricInfo[0],
378 m_GeometricInfo[2]); // f_xx
379 m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2], m_GeometricInfo[0],
380 m_GeometricInfo[3]); // f_xz
381 m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2], m_GeometricInfo[1],
382 m_GeometricInfo[4]); // f_zz
383
384 m_fields[0]->SetWaveSpace(waveSpace);
385}
Nektar::GlobalMapping::Mapping::m_coords
Array< OneD, Array< OneD, NekDouble > > m_coords
Array with the Cartesian coordinates.
Definition: Mapping.h:412
Nektar::MultiRegions::DirCartesianMap
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:87

References Nektar::MultiRegions::DirCartesianMap, Nektar::GlobalMapping::Mapping::m_coords, Nektar::GlobalMapping::Mapping::m_fields, and Nektar::GlobalMapping::Mapping::m_GeometricInfo.

Friends And Related Function Documentation

◆ MemoryManager< MappingXofXZ >

friend class MemoryManager< MappingXofXZ >
friend

Definition at line 1 of file MappingXofXZ.h.

Member Data Documentation

◆ className

std::string Nektar::GlobalMapping::MappingXofXZ::className
static
Initial value:
=
GetMappingFactory().RegisterCreatorFunction("XofXZ", MappingXofXZ::create,
"X = X(x,z)")
Nektar::GlobalMapping::MappingXofXZ::create
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.
Definition: MappingXofXZ.h:50
Nektar::LibUtilities::NekFactory::RegisterCreatorFunction
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")
Register a class with the factory.
Definition: BasicUtils/NekFactory.hpp:197
Nektar::GlobalMapping::GetMappingFactory
MappingFactory & GetMappingFactory()
Declaration of the mapping factory singleton.
Definition: Mapping.cpp:47

Name of the class.

Definition at line 62 of file MappingXofXZ.h.

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