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Nektar::GlobalMapping::MappingXofZ Class Reference

#include <MappingXofZ.h>

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

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

Static Public Attributes

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

Protected Member Functions

 MappingXofZ (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_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)
 
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_Divergence (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_VelocityLaplacian (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const NekDouble alpha)
 
virtual GLOBAL_MAPPING_EXPORT void v_gradgradU (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual GLOBAL_MAPPING_EXPORT void v_CurlCurlField (const Array< OneD, Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray, const bool generalized)
 
virtual GLOBAL_MAPPING_EXPORT void v_UpdateMapping (const NekDouble time, const Array< OneD, Array< OneD, NekDouble > > &coords=NullNekDoubleArrayofArray, const Array< OneD, Array< OneD, NekDouble > > &coordsVel=NullNekDoubleArrayofArray)
 
virtual GLOBAL_MAPPING_EXPORT void v_UpdateBCs (const NekDouble time)
 

Friends

class MemoryManager< MappingXofZ >
 

Additional Inherited Members

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

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

\[ \bar{y} = y \]

\[ \bar{z} = z \]

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

Definition at line 52 of file MappingXofZ.h.

Constructor & Destructor Documentation

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

Definition at line 59 of file MappingXofZ.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:55

Member Function Documentation

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

Creates an instance of this class.

Definition at line 60 of file MappingXofZ.h.

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

64  {
67  pFields);
68  p->InitObject(pFields, pMapping);
69  return p;
70  }
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
GLOBAL_MAPPING_EXPORT typedef boost::shared_ptr< Mapping > MappingSharedPtr
A shared pointer to a Mapping object.
Definition: Mapping.h:51
void Nektar::GlobalMapping::MappingXofZ::v_ApplyChristoffelContravar ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 275 of file MappingXofZ.cpp.

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

278 {
279  int physTot = m_fields[0]->GetTotPoints();
280  int nvel = m_nConvectiveFields;
281 
282  for (int i = 0; i< nvel; i++)
283  {
284  for (int j = 0; j< nvel; j++)
285  {
286  outarray[i*nvel+j] = Array<OneD, NekDouble>(physTot,0.0);
287  }
288  }
289 
290  // Calculate non-zero terms
291 
292  // outarray(0,2) = U3 * fzz
293  Vmath::Vmul(physTot,m_GeometricInfo[1],1,inarray[2],1,
294  outarray[0*nvel+2],1); // U1 * fzz
295 
296 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::v_ApplyChristoffelCovar ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 298 of file MappingXofZ.cpp.

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

301 {
302  int physTot = m_fields[0]->GetTotPoints();
303  int nvel = m_nConvectiveFields;
304 
305  for (int i = 0; i< nvel; i++)
306  {
307  for (int j = 0; j< nvel; j++)
308  {
309  outarray[i*nvel+j] = Array<OneD, NekDouble>(physTot,0.0);
310  }
311  }
312 
313  // Calculate non-zero terms
314 
315  // outarray(2,2) = U1 * fzz
316  Vmath::Vmul(physTot,m_GeometricInfo[1],1,inarray[0],1,
317  outarray[2*nvel+2],1); // U1 * fzz
318 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::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 MappingXofZ.cpp.

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

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
131  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
132 
133  // U3 = u3
134  Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
135 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::v_ContravarToCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 83 of file MappingXofZ.cpp.

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

86 {
87  int physTot = m_fields[0]->GetTotPoints();
88  Array<OneD, NekDouble> wk(physTot, 0.0);
89 
90  // U1 = u1 + fz*u3
91  Vmath::Vmul(physTot, inarray[2], 1, m_GeometricInfo[0], 1, wk, 1);
92  Vmath::Vadd(physTot, wk, 1, inarray[0], 1, outarray[0],1);
93 
94  // U2 = u2
95  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
96 
97  // U3 = u3
98  Vmath::Vcopy(physTot, inarray[2], 1, outarray[2], 1);
99 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::v_CovarFromCartesian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 137 of file MappingXofZ.cpp.

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

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

Implements Nektar::GlobalMapping::Mapping.

Definition at line 101 of file MappingXofZ.cpp.

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

104 {
105  int physTot = m_fields[0]->GetTotPoints();
106  Array<OneD, NekDouble> wk(physTot, 0.0);
107 
108  // U1 = u1
109  Vmath::Vcopy(physTot, inarray[0], 1, outarray[0], 1);
110 
111  // U2 = u2
112  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
113 
114  // U3 = u3 - fz*u1
115  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1, wk, 1);
116  Vmath::Vsub(physTot, inarray[2], 1, wk, 1, outarray[2], 1);
117 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::v_DotGradJacobian ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 162 of file MappingXofZ.cpp.

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

165 {
166  int physTot = m_fields[0]->GetTotPoints();
167 
168  Vmath::Zero(physTot, outarray, 1);
169 }
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
void Nektar::GlobalMapping::MappingXofZ::v_GetInvMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 197 of file MappingXofZ.cpp.

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

199 {
200  int physTot = m_fields[0]->GetTotPoints();
201  int nvel = m_nConvectiveFields;
202  Array<OneD, NekDouble> wk(physTot, 0.0);
203 
204  for (int i=0; i<nvel*nvel; i++)
205  {
206  outarray[i] = Array<OneD, NekDouble> (physTot, 0.0);
207  }
208  // Fill diagonal with 1.0
209  for (int i=0; i<nvel; i++)
210  {
211  Vmath::Sadd(physTot, 1.0, outarray[i+nvel*i], 1,
212  outarray[i+nvel*i], 1);
213  }
214 
215  // G^{13} and G^{31} = -fz
216  Vmath::Vcopy(physTot, m_GeometricInfo[0],1,wk,1); // fz
217  Vmath::Neg(physTot, wk, 1);
218  Vmath::Vcopy(physTot, wk, 1, outarray[0*nvel+2], 1);
219  Vmath::Vcopy(physTot, wk, 1, outarray[2*nvel+0], 1);
220 
221  // G^{11} = (1+fz^2)
222  Vmath::Vadd(physTot, m_GeometricInfo[2], 1, outarray[0*nvel+0], 1,
223  outarray[0*nvel+0], 1);
224 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:382
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Nektar::GlobalMapping::MappingXofZ::v_GetJacobian ( Array< OneD, NekDouble > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 155 of file MappingXofZ.cpp.

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

157 {
158  int physTot = m_fields[0]->GetTotPoints();
159  Vmath::Fill(physTot, 1.0, outarray, 1);
160 }
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.cpp:46
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Nektar::GlobalMapping::MappingXofZ::v_GetMetricTensor ( Array< OneD, Array< OneD, NekDouble > > &  outarray)
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 171 of file MappingXofZ.cpp.

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

173 {
174  int physTot = m_fields[0]->GetTotPoints();
175  int nvel = m_nConvectiveFields;
176 
177  for (int i=0; i<nvel*nvel; i++)
178  {
179  outarray[i] = Array<OneD, NekDouble> (physTot, 0.0);
180  }
181  // Fill diagonal with 1.0
182  for (int i=0; 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
189  Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray[0*nvel+2], 1);
190  Vmath::Vcopy(physTot, m_GeometricInfo[0], 1, outarray[2*nvel+0], 1);
191 
192  // G^{33} = (1+fz^2)
193  Vmath::Vadd(physTot, m_GeometricInfo[2], 1, outarray[2*nvel+2], 1,
194  outarray[2*nvel+2], 1);
195 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Nektar::GlobalMapping::MappingXofZ::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 70 of file MappingXofZ.cpp.

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

73 {
74  Mapping::v_InitObject(pFields, pMapping);
75 
76  m_constantJacobian = true;
77 
79  "Mapping X = x + f(z) needs 3 velocity components.");
80 
81 }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
int m_nConvectiveFields
Number of velocity components.
Definition: Mapping.h:417
virtual GLOBAL_MAPPING_EXPORT void v_InitObject(const Array< OneD, MultiRegions::ExpListSharedPtr > &pFields, const TiXmlElement *pMapping)
Definition: Mapping.cpp:98
bool m_constantJacobian
Flag defining if the Jacobian is constant.
Definition: Mapping.h:427
void Nektar::GlobalMapping::MappingXofZ::v_LowerIndex ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 226 of file MappingXofZ.cpp.

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

229 {
230  int physTot = m_fields[0]->GetTotPoints();
231  Array<OneD, NekDouble> wk(physTot, 0.0);
232 
233  // out[0] = in[0] + in[2] * fz
234  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[2], 1,
235  outarray[0], 1); //in[2]*fz
236  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1,
237  outarray[2], 1); //in[0]*fz
238 
239  Vmath::Vadd(physTot, outarray[0], 1, inarray[0], 1,
240  outarray[0], 1);
241 
242  // out[1] = in[1]
243  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
244 
245  // out[2] = fz*in[0] + (1+fz^2)*in[2]
246  Vmath::Sadd(physTot, 1.0, m_GeometricInfo[2], 1, wk, 1); // 1+fz^2
247  Vmath::Vmul(physTot, wk, 1, inarray[2],1, wk, 1); // (1+fz^2)*in[2]
248  Vmath::Vadd(physTot, wk, 1, outarray[2],1, outarray[2], 1);
249 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:285
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::v_RaiseIndex ( const Array< OneD, Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::GlobalMapping::Mapping.

Definition at line 251 of file MappingXofZ.cpp.

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

254 {
255  int physTot = m_fields[0]->GetTotPoints();
256  Array<OneD, NekDouble> wk(physTot, 0.0);
257 
258  // out[2] = in[2] - in[0] * fz
259  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[2], 1,
260  outarray[0], 1); // in[2]*fz
261  Vmath::Vmul(physTot, m_GeometricInfo[0], 1, inarray[0], 1,
262  outarray[2], 1); //in[0]*fz
263  Vmath::Vsub(physTot, inarray[2], 1, outarray[2], 1,
264  outarray[2], 1);
265 
266  // out[1] = in[1]]
267  Vmath::Vcopy(physTot, inarray[1], 1, outarray[1], 1);
268 
269  // out[0] = in[0]*(1+fz^2)- in[2] * fz
270  Vmath::Sadd(physTot, 1.0, m_GeometricInfo[2], 1, wk, 1); // 1+fz^2
271  Vmath::Vmul(physTot, wk, 1, inarray[0],1, wk, 1); // in[0]*(1+fz^2)
272  Vmath::Vsub(physTot, wk, 1, outarray[0], 1, outarray[0], 1);
273 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
void Sadd(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Add vector y = alpha + x.
Definition: Vmath.cpp:301
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
void Nektar::GlobalMapping::MappingXofZ::v_UpdateGeomInfo ( )
protectedvirtual

Implements Nektar::GlobalMapping::Mapping.

Definition at line 320 of file MappingXofZ.cpp.

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

321 {
322  int phystot = m_fields[0]->GetTotPoints();
323  // Allocation of geometry memory
325  for (int i = 0; i < m_GeometricInfo.num_elements(); i++)
326  {
327  m_GeometricInfo[i] = Array<OneD, NekDouble>(phystot, 0.0);
328  }
329 
330  bool waveSpace = m_fields[0]->GetWaveSpace();
331  m_fields[0]->SetWaveSpace(false);
332  // Calculate derivatives of transformation
333  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
334  m_coords[0],m_GeometricInfo[0]);
335  m_fields[0]->PhysDeriv(MultiRegions::DirCartesianMap[2],
337  // m_GeometricInfo[2] = fz^2
338  Vmath::Vmul(phystot,m_GeometricInfo[0],1,
339  m_GeometricInfo[0],1,m_GeometricInfo[2],1);
340 
341  m_fields[0]->SetWaveSpace(waveSpace);
342 }
Array< OneD, Array< OneD, NekDouble > > m_GeometricInfo
Array with metric terms of the mapping.
Definition: Mapping.h:415
Array< OneD, Array< OneD, NekDouble > > m_coords
Array with the Cartesian coordinates.
Definition: Mapping.h:411
Array< OneD, MultiRegions::ExpListSharedPtr > m_fields
Definition: Mapping.h:409
MultiRegions::Direction const DirCartesianMap[]
Definition: ExpList.h:86
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169

Friends And Related Function Documentation

friend class MemoryManager< MappingXofZ >
friend

Definition at line 56 of file MappingXofZ.h.

Member Data Documentation

std::string Nektar::GlobalMapping::MappingXofZ::className
static
Initial value:

Name of the class.

Definition at line 73 of file MappingXofZ.h.