Nektar++
Static Public Member Functions | Static Public Attributes | Protected Member Functions | Friends | List of all members
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)
 
virtual GLOBAL_MAPPING_EXPORT void v_InitObject (const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping) override
 
virtual GLOBAL_MAPPING_EXPORT void v_ContravarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_CovarToCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_ContravarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_CovarFromCartesian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_GetJacobian (Array< OneD, NekDouble > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_DotGradJacobian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_GetMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_GetInvMetricTensor (Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_LowerIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_RaiseIndex (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelContravar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual GLOBAL_MAPPING_EXPORT void v_ApplyChristoffelCovar (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray) override
 
virtual 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::ExpListSharedPtrm_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 51 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 57 of file MappingXofXZ.cpp.

60 : Mapping(pSession, pFields)
61{
62}
GLOBAL_MAPPING_EXPORT Mapping(const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
Constructor.
Definition: Mapping.cpp:59

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 58 of file MappingXofXZ.h.

62 {
65 p->InitObject(pFields, pMapping);
66 return p;
67 }
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
GLOBAL_MAPPING_EXPORT typedef std::shared_ptr< Mapping > MappingSharedPtr
A shared pointer to a Mapping object.
Definition: Mapping.h:53

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 299 of file MappingXofXZ.cpp.

302{
303 int physTot = m_fields[0]->GetTotPoints();
304 int nvel = m_nConvectiveFields;
305 Array<OneD, NekDouble> wk(physTot, 0.0);
306
307 for (int i = 0; i < nvel; i++)
308 {
309 for (int j = 0; j < nvel; j++)
310 {
311 outarray[i * nvel + j] = Array<OneD, NekDouble>(physTot, 0.0);
312 }
313 }
314
315 // Calculate non-zero terms
316
317 // outarray(0,0) = U1 * fxx/fx + U3 * fxz/fx
318 Vmath::Vdiv(physTot, m_GeometricInfo[2], 1, m_GeometricInfo[0], 1, wk, 1);
319 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 0], 1);
320 Vmath::Vdiv(physTot, m_GeometricInfo[3], 1, m_GeometricInfo[0], 1, wk, 1);
321 Vmath::Vvtvp(physTot, wk, 1, inarray[2], 1, outarray[0 * nvel + 0], 1,
322 outarray[0 * nvel + 0], 1);
323
324 // outarray(0,2) = U1 * fxz/fx + U3 * fzz/fx
325 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 2], 1);
326 Vmath::Vdiv(physTot, m_GeometricInfo[4], 1, m_GeometricInfo[0], 1, wk, 1);
327 Vmath::Vvtvp(physTot, wk, 1, inarray[2], 1, outarray[0 * nvel + 2], 1,
328 outarray[0 * nvel + 2], 1);
329}
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:414
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:412
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:406
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:207
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:569
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.cpp:280

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 331 of file MappingXofXZ.cpp.

334{
335 int physTot = m_fields[0]->GetTotPoints();
336 int nvel = m_nConvectiveFields;
337 Array<OneD, NekDouble> wk(physTot, 0.0);
338
339 for (int i = 0; i < nvel; i++)
340 {
341 for (int j = 0; j < nvel; j++)
342 {
343 outarray[i * nvel + j] = Array<OneD, NekDouble>(physTot, 0.0);
344 }
345 }
346
347 // Calculate non-zero terms
348
349 // outarray(0,0) = U1 * fxx/fx
350 Vmath::Vdiv(physTot, m_GeometricInfo[2], 1, m_GeometricInfo[0], 1, wk, 1);
351 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 0], 1);
352
353 // outarray(0,2) = outarray(2,0) = U1 * fxz/fx
354 Vmath::Vdiv(physTot, m_GeometricInfo[3], 1, m_GeometricInfo[0], 1, wk, 1);
355 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[0 * nvel + 2], 1);
356 Vmath::Vcopy(physTot, outarray[0 * nvel + 2], 1, outarray[2 * nvel + 0], 1);
357
358 // outarray(2,2) = U1 * fzz/fx
359 Vmath::Vdiv(physTot, m_GeometricInfo[4], 1, m_GeometricInfo[0], 1, wk, 1);
360 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[2 * nvel + 2], 1);
361}
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1191

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 116 of file MappingXofXZ.cpp.

119{
120 int physTot = m_fields[0]->GetTotPoints();
121 Array<OneD, NekDouble> wk(physTot, 0.0);
122
123 // U1 = u1/fx - fz/fx * u3
124 Vmath::Vdiv(physTot, inarray[0], 1, m_GeometricInfo[0], 1, outarray[0], 1);
125 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk, 1);
126 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, wk, 1);
127 Vmath::Vsub(physTot, outarray[0], 1, wk, 1, outarray[0], 1);
128
129 // U2 = u2
130 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
131
132 // U3 = u3
133 Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
134}
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:414

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 79 of file MappingXofXZ.cpp.

82{
83 int physTot = m_fields[0]->GetTotPoints();
84
85 // U1 = fx*u1 + fz*u3
86 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1, outarray[0], 1);
87 Vmath::Vvtvp(physTot, m_GeometricInfo[1], 1, inarray[2], 1, outarray[0], 1,
88 outarray[0], 1);
89
90 // U2 = u2
91 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
92
93 // U3 = u3
94 Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
95}

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 136 of file MappingXofXZ.cpp.

139{
140 int physTot = m_fields[0]->GetTotPoints();
141
142 // U1 = u1*fx
143 Vmath::Vmul(physTot, inarray[0], 1, m_GeometricInfo[0], 1, outarray[0], 1);
144
145 // U2 = u2
146 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
147
148 // U3 = u3 + fz*u1
149 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, inarray[0], 1, outarray[2], 1);
150 Vmath::Vadd(physTot, inarray[2], 1, outarray[2], 1, outarray[2], 1);
151}
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:354

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 97 of file MappingXofXZ.cpp.

100{
101 int physTot = m_fields[0]->GetTotPoints();
102 Array<OneD, NekDouble> wk(physTot, 0.0);
103
104 // U1 = u1/fx
105 Vmath::Vdiv(physTot, inarray[0], 1, m_GeometricInfo[0], 1, outarray[0], 1);
106
107 // U2 = u2
108 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
109
110 // U3 = u3 - fz/fx*u1
111 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk, 1);
112 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, wk, 1);
113 Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
114}

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 159 of file MappingXofXZ.cpp.

162{
163 int physTot = m_fields[0]->GetTotPoints();
164
165 Vmath::Vmul(physTot, m_GeometricInfo[2], 1, inarray[0], 1, outarray, 1);
166 Vmath::Vvtvp(physTot, m_GeometricInfo[3], 1, inarray[2], 1, outarray, 1,
167 outarray, 1);
168}

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 205 of file MappingXofXZ.cpp.

207{
208 int physTot = m_fields[0]->GetTotPoints();
209 int nvel = m_nConvectiveFields;
210 Array<OneD, NekDouble> wk(physTot, 0.0);
211
212 for (int i = 0; i < nvel * nvel; i++)
213 {
214 outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
215 }
216 // Fill diagonal with 1.0
217 for (int i = 0; i < nvel; i++)
218 {
219 Vmath::Sadd(physTot, 1.0, outarray[i + nvel * i], 1,
220 outarray[i + nvel * i], 1);
221 }
222
223 // G^{13} and G^{31} = -fz/fx
224 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk,
225 1); // fz/fx
226 Vmath::Neg(physTot, wk, 1);
227 Vmath::Vcopy(physTot, wk, 1, outarray[0 * nvel + 2], 1);
228 Vmath::Vcopy(physTot, wk, 1, outarray[2 * nvel + 0], 1);
229
230 // G^{11} = (1+fz^2)/(fx^2)
231 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk,
232 1); // fz^2
233 Vmath::Vadd(physTot, wk, 1, outarray[0 * nvel + 0], 1,
234 outarray[0 * nvel + 0], 1);
235
236 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1, wk,
237 1); // fx^2
238 Vmath::Vdiv(physTot, outarray[0 * nvel + 0], 1, wk, 1,
239 outarray[0 * nvel + 0], 1);
240}
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:513
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add scalar y = alpha + x.
Definition: Vmath.cpp:379

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 153 of file MappingXofXZ.cpp.

154{
155 int physTot = m_fields[0]->GetTotPoints();
156 Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray, 1);
157}

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 170 of file MappingXofXZ.cpp.

172{
173 int physTot = m_fields[0]->GetTotPoints();
174 int nvel = m_nConvectiveFields;
175 Array<OneD, NekDouble> wk(physTot, 0.0);
176
177 for (int i = 0; i < nvel * nvel; i++)
178 {
179 outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
180 }
181 // Fill G^{22} and G^{33} with 1.0
182 for (int i = 1; i < nvel; i++)
183 {
184 Vmath::Sadd(physTot, 1.0, outarray[i + nvel * i], 1,
185 outarray[i + nvel * i], 1);
186 }
187
188 // G_{13} and G_{31} = fz*fx
189 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk,
190 1); // fz*fx
191 Vmath::Vcopy(physTot, wk, 1, outarray[0 * nvel + 2], 1);
192 Vmath::Vcopy(physTot, wk, 1, outarray[2 * nvel + 0], 1);
193
194 // G^{11} = (fx^2)
195 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1,
196 outarray[0 * nvel + 0], 1);
197
198 // G^{33} = (1+fz^2)
199 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk,
200 1); // fz^2
201 Vmath::Vadd(physTot, wk, 1, outarray[2 * nvel + 2], 1,
202 outarray[2 * nvel + 2], 1);
203}

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 67 of file MappingXofXZ.cpp.

70{
71 Mapping::v_InitObject(pFields, pMapping);
72
73 m_constantJacobian = false;
74
76 "Mapping X = X(x,z) needs 3 velocity components.");
77}
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:215
virtual GLOBAL_MAPPING_EXPORT void v_InitObject(const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
Definition: Mapping.cpp:101
bool m_constantJacobian
Flag defining if the Jacobian is constant.
Definition: Mapping.h:423

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 242 of file MappingXofXZ.cpp.

245{
246 int physTot = m_fields[0]->GetTotPoints();
247 Array<OneD, NekDouble> wk(physTot, 0.0);
248
249 // out[0] = in[0]*fx^2 + in[2] * fz*fx
250 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk,
251 1); // fz*fx
252 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, outarray[0], 1); // in[2]*fz*fx
253 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[2], 1); // in[0]*fz*fx
254
255 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1, wk,
256 1); // fx^2
257 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, wk, 1); // in[0]*fx^2
258
259 Vmath::Vadd(physTot, outarray[0], 1, wk, 1, outarray[0], 1);
260
261 // out[1] = in[1]
262 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
263
264 // out[2] = fx*fz*in[0] + (1+fz^2)*in[2]
265 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk,
266 1); // fz^2
267 Vmath::Sadd(physTot, 1.0, wk, 1, wk, 1); // 1+fz^2
268 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, wk, 1); // (1+fz^2)*in[2]
269
270 Vmath::Vadd(physTot, wk, 1, outarray[2], 1, outarray[2], 1);
271}

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 273 of file MappingXofXZ.cpp.

276{
277 int physTot = m_fields[0]->GetTotPoints();
278 Array<OneD, NekDouble> wk(physTot, 0.0);
279 Array<OneD, NekDouble> wk_2(physTot, 0.0);
280
281 // out[2] = in[2] - in[0] * fz/fx
282 Vmath::Vdiv(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[0], 1, wk, 1);
283 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, outarray[2], 1);
284 Vmath::Vsub(physTot, inarray[2], 1, outarray[2], 1, outarray[2], 1);
285
286 // out[0] = in[0]*(1+fz^2)/(fx^2) - in[2] * fz/fx
287 Vmath::Vmul(physTot, wk, 1, inarray[2], 1, outarray[0], 1);
288 Vmath::Vmul(physTot, m_GeometricInfo[1], 1, m_GeometricInfo[1], 1, wk, 1);
289 Vmath::Sadd(physTot, 1.0, wk, 1, wk, 1);
290 Vmath::Vmul(physTot, m_GeometricInfo[0], 1, m_GeometricInfo[0], 1, wk_2, 1);
291 Vmath::Vdiv(physTot, wk, 1, wk_2, 1, wk, 1);
292 Vmath::Vmul(physTot, wk, 1, inarray[0], 1, wk, 1);
293 Vmath::Vsub(physTot, wk, 1, outarray[0], 1, outarray[0], 1);
294
295 // out[1] = in[1]
296 Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
297}

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 363 of file MappingXofXZ.cpp.

364{
365 int phystot = m_fields[0]->GetTotPoints();
366 // Allocation of geometry memory
367 m_GeometricInfo = Array<OneD, Array<OneD, NekDouble>>(5);
368 for (int i = 0; i < m_GeometricInfo.size(); i++)
369 {
370 m_GeometricInfo[i] = Array<OneD, NekDouble>(phystot, 0.0);
371 }
372
373 bool waveSpace = m_fields[0]->GetWaveSpace();
374 m_fields[0]->SetWaveSpace(false);
375
376 // Calculate derivatives of transformation
378 m_GeometricInfo[0]); // f_x
380 m_GeometricInfo[1]); // f_z
381
383 m_GeometricInfo[2]); // f_xx
385 m_GeometricInfo[3]); // f_xz
387 m_GeometricInfo[4]); // f_zz
388
389 m_fields[0]->SetWaveSpace(waveSpace);
390}
Array< OneD, Array< OneD, NekDouble > > m_coords
Array with the Cartesian coordinates.
Definition: Mapping.h:408
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:90

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:
=
"X = X(x,z)")
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:58
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")
Register a class with the factory.
Definition: NekFactory.hpp:198
MappingFactory & GetMappingFactory()
Declaration of the mapping factory singleton.
Definition: Mapping.cpp:53

Name of the class.

Definition at line 70 of file MappingXofXZ.h.