Nektar++
Static Public Member Functions | Static Public Attributes | Protected Member Functions | Friends | List of all members
Nektar::GlobalMapping::MappingXYofZ Class Reference

#include <MappingXYofZ.h>

Inheritance diagram for Nektar::GlobalMapping::MappingXYofZ:
[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

 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 (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 (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 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 50 of file MappingXYofZ.h.

Constructor & Destructor Documentation

◆ MappingXYofZ()

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

Definition at line 59 of file MappingXYofZ.cpp.

62  : Mapping(pSession, pFields)
63 {
64 }
GLOBAL_MAPPING_EXPORT Mapping(const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields)
Constructor.
Definition: Mapping.cpp:58

Member Function Documentation

◆ create()

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 58 of file MappingXYofZ.h.

62  {
65  pFields);
66  p->InitObject(pFields, pMapping);
67  return p;
68  }
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:50

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

◆ v_ApplyChristoffelContravar()

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 250 of file MappingXYofZ.cpp.

253 {
254  int physTot = m_fields[0]->GetTotPoints();
255  int nvel = m_nConvectiveFields;
256 
257  for (int i = 0; i< nvel; i++)
258  {
259  for (int j = 0; j< nvel; j++)
260  {
261  outarray[i*nvel+j] = Array<OneD, NekDouble>(physTot,0.0);
262  }
263  }
264 
265  // Calculate non-zero terms
266 
267  // outarray(0,2) = U3 * fzz
268  Vmath::Vmul(physTot,m_GeometricInfo[1],1,inarray[2],1,
269  outarray[0*nvel+2],1);
270 
271  // outarray(1,2) = U3 * gzz
272  Vmath::Vmul(physTot,m_GeometricInfo[4],1,inarray[2],1,
273  outarray[1*nvel+2],1);
274 
275 }
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:416
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:414
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:408
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:192

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

◆ v_ApplyChristoffelCovar()

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 277 of file MappingXYofZ.cpp.

280 {
281  int physTot = m_fields[0]->GetTotPoints();
282  int nvel = m_nConvectiveFields;
283 
284  for (int i = 0; i< nvel; i++)
285  {
286  for (int j = 0; j< nvel; j++)
287  {
288  outarray[i*nvel+j] = Array<OneD, NekDouble>(physTot,0.0);
289  }
290  }
291 
292  // Calculate non-zero terms
293 
294  // outarray(2,2) = U1 * fzz + U^2 * gzz
295  Vmath::Vmul(physTot,m_GeometricInfo[1],1,inarray[0],1,outarray[2*nvel+2],1);
296  Vmath::Vvtvp(physTot, m_GeometricInfo[4], 1, inarray[1], 1,
297  outarray[2*nvel+2], 1, outarray[2*nvel+2],1);
298 }
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:513

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

◆ v_ContravarFromCartesian()

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 119 of file MappingXYofZ.cpp.

122 {
123  int physTot = m_fields[0]->GetTotPoints();
124  Array<OneD, NekDouble> wk(physTot, 0.0);
125 
126  // U1 = u1 - fz * u3
127  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[2], 1, wk, 1);
128  Vmath::Vsub(physTot, inarray[0], 1, wk, 1, outarray[0], 1);
129 
130  // U2 = u2 - gz*u3
131  Vmath::Vmul(physTot, m_GeometricInfo[3], 1, inarray[2], 1, wk, 1);
132  Vmath::Vsub(physTot, inarray[1], 1, wk, 1, outarray[1], 1);
133 
134  // U3 = u3
135  Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
136 }
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1199
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:372

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

◆ v_ContravarToCartesian()

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 81 of file MappingXYofZ.cpp.

84 {
85  int physTot = m_fields[0]->GetTotPoints();
86 
87  // U1 = u1 + fz*u3
88  Vmath::Vvtvp(physTot, m_GeometricInfo[0], 1, inarray[2], 1,
89  inarray[0], 1, outarray[0],1);
90 
91  // U2 = u2 + gz*u3
92  Vmath::Vvtvp(physTot, m_GeometricInfo[3], 1, inarray[2], 1,
93  inarray[1], 1, outarray[1],1);
94 
95  // U3 = u3
96  Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
97 }

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

◆ v_CovarFromCartesian()

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 138 of file MappingXYofZ.cpp.

141 {
142  int physTot = m_fields[0]->GetTotPoints();
143 
144  // U1 = u1
145  Vmath::Vcopy(physTot, inarray[0], 1, outarray[0], 1);
146 
147  // U2 = u2
148  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
149 
150  // U3 = u3 + fz*u1 + gz*u2
151  Vmath::Vmul(physTot, m_GeometricInfo[0], 1,
152  inarray[0], 1, outarray[2], 1);
153  Vmath::Vvtvp(physTot, m_GeometricInfo[3], 1, inarray[1], 1,
154  outarray[2], 1, outarray[2], 1);
155  Vmath::Vadd(physTot, inarray[2], 1, outarray[2], 1, outarray[2], 1);
156 }
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:322

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

◆ v_CovarToCartesian()

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 99 of file MappingXYofZ.cpp.

102 {
103  int physTot = m_fields[0]->GetTotPoints();
104  Array<OneD, NekDouble> wk(physTot, 0.0);
105 
106  // U1 = u1
107  Vmath::Vcopy(physTot, inarray[0], 1, outarray[0], 1);
108 
109  // U2 = u2
110  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
111 
112  // U3 = u3 - fz*u1 - gz*u2
113  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1, wk, 1);
114  Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
115  Vmath::Vmul(physTot, m_GeometricInfo[3], 1, inarray[1], 1, wk, 1);
116  Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
117 }

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

◆ v_DotGradJacobian()

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 165 of file MappingXYofZ.cpp.

168 {
169  boost::ignore_unused(inarray);
170 
171  int physTot = m_fields[0]->GetTotPoints();
172  Vmath::Zero(physTot, outarray, 1);
173 }
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:436

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

◆ v_GetInvMetricTensor()

void Nektar::GlobalMapping::MappingXYofZ::v_GetInvMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 207 of file MappingXYofZ.cpp.

209 {
210  int physTot = m_fields[0]->GetTotPoints();
211  int nvel = m_nConvectiveFields;
212  Array<OneD, NekDouble> wk(physTot, 0.0);
213 
214  for (int i=0; i<nvel*nvel; i++)
215  {
216  outarray[i] = Array<OneD, NekDouble> (physTot, 0.0);
217  }
218  // Fill diagonal with 1.0
219  for (int i=0; i<nvel; i++)
220  {
221  Vmath::Sadd(physTot, 1.0, outarray[i*nvel+i], 1,
222  outarray[i*nvel+i], 1);
223  }
224 
225  // G^{11} = 1+fz^2
226  Vmath::Vadd(physTot, outarray[0*nvel+0], 1, m_GeometricInfo[2], 1,
227  outarray[0*nvel+0], 1);
228 
229  // G^{22} = 1+gz^2
230  Vmath::Vadd(physTot, outarray[1*nvel+1], 1, m_GeometricInfo[5], 1,
231  outarray[1*nvel+1], 1);
232 
233  // G^{12} and G^{21} = fz*gz
234  Vmath::Vcopy(physTot, m_GeometricInfo[6],1, outarray[0*nvel+1], 1);
235  Vmath::Vcopy(physTot, outarray[0*nvel+1], 1, outarray[1*nvel+0], 1);
236 
237  // G^{13} and G^{31} = -fz
238  Vmath::Vcopy(physTot, m_GeometricInfo[0],1,wk,1); // fz
239  Vmath::Neg(physTot, wk, 1);
240  Vmath::Vcopy(physTot, wk, 1, outarray[0*nvel+2], 1);
241  Vmath::Vcopy(physTot, wk, 1, outarray[2*nvel+0], 1);
242 
243  // G^{23} and G^{32} = -gz
244  Vmath::Vcopy(physTot, m_GeometricInfo[3],1,wk,1); // fz
245  Vmath::Neg(physTot, wk, 1);
246  Vmath::Vcopy(physTot, wk, 1, outarray[1*nvel+2], 1);
247  Vmath::Vcopy(physTot, wk, 1, outarray[2*nvel+1], 1);
248 }
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:461
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:341

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().

◆ v_GetJacobian()

void Nektar::GlobalMapping::MappingXYofZ::v_GetJacobian ( Array< OneD, NekDouble > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 158 of file MappingXYofZ.cpp.

160 {
161  int physTot = m_fields[0]->GetTotPoints();
162  Vmath::Fill(physTot, 1.0, outarray, 1);
163 }
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.cpp:45

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

◆ v_GetMetricTensor()

void Nektar::GlobalMapping::MappingXYofZ::v_GetMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 175 of file MappingXYofZ.cpp.

177 {
178  int physTot = m_fields[0]->GetTotPoints();
179  int nvel = m_nConvectiveFields;
180 
181  for (int i=0; i<nvel*nvel; i++)
182  {
183  outarray[i] = Array<OneD, NekDouble> (physTot, 0.0);
184  }
185  // Fill diagonal with 1.0
186  for (int i=0; i<nvel; i++)
187  {
188  Vmath::Sadd(physTot, 1.0, outarray[i*nvel+i], 1,
189  outarray[i*nvel+i], 1);
190  }
191 
192  // G_{13} and G_{31} = fz
193  Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray[0*nvel+2], 1);
194  Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray[2*nvel+0], 1);
195 
196  // G_{23} and G_{32} = gz
197  Vmath::Vcopy(physTot, m_GeometricInfo[3], 1, outarray[1*nvel+2], 1);
198  Vmath::Vcopy(physTot, m_GeometricInfo[3], 1, outarray[2*nvel+1], 1);
199 
200  // G^{33} = (1+fz^2 + gz^2)
201  Vmath::Vadd(physTot, m_GeometricInfo[2], 1, outarray[2*nvel+2], 1,
202  outarray[2*nvel+2], 1);
203  Vmath::Vadd(physTot, m_GeometricInfo[5], 1, outarray[2*nvel+2], 1,
204  outarray[2*nvel+2], 1);
205 }

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

◆ v_InitObject()

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 69 of file MappingXYofZ.cpp.

72 {
73  Mapping::v_InitObject(pFields, pMapping);
74 
75  m_constantJacobian = true;
76 
78  "Mapping X = x + f(z), Y = y+g(z) needs 3 velocity components.");
79 }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:216
virtual GLOBAL_MAPPING_EXPORT void v_InitObject(const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
Definition: Mapping.cpp:100
bool m_constantJacobian
Flag defining if the Jacobian is constant.
Definition: Mapping.h:426

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

◆ v_UpdateGeomInfo()

void Nektar::GlobalMapping::MappingXYofZ::v_UpdateGeomInfo ( )
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 300 of file MappingXYofZ.cpp.

301 {
302  int phystot = m_fields[0]->GetTotPoints();
303  // Allocation of geometry memory
304  m_GeometricInfo = Array<OneD, Array<OneD, NekDouble> >(7);
305  for (int i = 0; i < m_GeometricInfo.size(); i++)
306  {
307  m_GeometricInfo[i] = Array<OneD, NekDouble>(phystot, 0.0);
308  }
309 
310  bool waveSpace = m_fields[0]->GetWaveSpace();
311  m_fields[0]->SetWaveSpace(false);
312 
313  // Calculate derivatives of x transformation --> m_GeometricInfo 0-1
314  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
315  m_coords[0],m_GeometricInfo[0]);
316  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
318  // m_GeometricInfo[2] = fz^2
319  Vmath::Vmul(phystot,m_GeometricInfo[0],1,m_GeometricInfo[0],1,
320  m_GeometricInfo[2],1);
321 
322  // Calculate derivatives of transformation -> m_GeometricInfo 3-4
323  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
324  m_coords[1],m_GeometricInfo[3]);
325  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
327  // m_GeometricInfo[5] = gz^2
328  Vmath::Vmul(phystot,m_GeometricInfo[3],1,m_GeometricInfo[3],1,
329  m_GeometricInfo[5],1);
330 
331  // m_GeometricInfo[6] = gz*fz
332  Vmath::Vmul(phystot,m_GeometricInfo[0],1,m_GeometricInfo[3],1,
333  m_GeometricInfo[6],1);
334 
335  m_fields[0]->SetWaveSpace(waveSpace);
336 }
Array< OneD, Array< OneD, NekDouble > > m_coords
Array with the Cartesian coordinates.
Definition: Mapping.h:410
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:90

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

Friends And Related Function Documentation

◆ MemoryManager< MappingXYofZ >

friend class MemoryManager< MappingXYofZ >
friend

Definition at line 1 of file MappingXYofZ.h.

Member Data Documentation

◆ className

std::string Nektar::GlobalMapping::MappingXYofZ::className
static
Initial value:
=
MappingXYofZ::create, "X = x + f(z), Y = y +g(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: MappingXYofZ.h:58
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")
Register a class with the factory.
Definition: NekFactory.hpp:200
MappingFactory & GetMappingFactory()
Declaration of the mapping factory singleton.
Definition: Mapping.cpp:52

Name of the class.

Definition at line 71 of file MappingXYofZ.h.