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Nektar::Collections::PhysDeriv_SumFac_Prism Class Referencefinal

Phys deriv operator using sum-factorisation (Prism) More...

Inheritance diagram for Nektar::Collections::PhysDeriv_SumFac_Prism:
[legend]

Public Member Functions

 ~PhysDeriv_SumFac_Prism () final
 
void operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp) override final
 Perform operation. More...
 
void operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp) override final
 
virtual void CheckFactors (StdRegions::FactorMap factors, int coll_phys_offset) override
 Check the validity of the supplied factor map. More...
 
- Public Member Functions inherited from Nektar::Collections::Operator
 Operator (std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
 Constructor. More...
 
virtual COLLECTIONS_EXPORT ~Operator ()
 
unsigned int GetWspSize ()
 Get the size of the required workspace. More...
 
unsigned int GetNumElmt ()
 Get expansion pointer. More...
 
StdRegions::StdExpansionSharedPtr GetExpSharedPtr ()
 Get expansion pointer. More...
 

Protected Attributes

Array< TwoD, const NekDoublem_derivFac
 
int m_coordim
 
const int m_nquad0
 
const int m_nquad1
 
const int m_nquad2
 
NekDoublem_Deriv0
 
NekDoublem_Deriv1
 
NekDoublem_Deriv2
 
Array< OneD, NekDoublem_fac0
 
Array< OneD, NekDoublem_fac1
 
- Protected Attributes inherited from Nektar::Collections::Operator
bool m_isDeformed
 
StdRegions::StdExpansionSharedPtr m_stdExp
 
unsigned int m_numElmt
 
unsigned int m_nqe
 
unsigned int m_wspSize
 

Private Member Functions

 PhysDeriv_SumFac_Prism (vector< StdRegions::StdExpansionSharedPtr > pCollExp, CoalescedGeomDataSharedPtr pGeomData, StdRegions::FactorMap factors)
 

Detailed Description

Phys deriv operator using sum-factorisation (Prism)

Definition at line 1768 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Prism()

Nektar::Collections::PhysDeriv_SumFac_Prism::~PhysDeriv_SumFac_Prism ( )
inlinefinal

Definition at line 1773 of file PhysDeriv.cpp.

1774  {
1775  }

◆ PhysDeriv_SumFac_Prism()

Nektar::Collections::PhysDeriv_SumFac_Prism::PhysDeriv_SumFac_Prism ( vector< StdRegions::StdExpansionSharedPtr pCollExp,
CoalescedGeomDataSharedPtr  pGeomData,
StdRegions::FactorMap  factors 
)
inlineprivate

Definition at line 1966 of file PhysDeriv.cpp.

1969  : Operator(pCollExp, pGeomData, factors),
1970  m_nquad0(m_stdExp->GetNumPoints(0)),
1971  m_nquad1(m_stdExp->GetNumPoints(1)),
1972  m_nquad2(m_stdExp->GetNumPoints(2))
1973  {
1974  LibUtilities::PointsKeyVector PtsKey = m_stdExp->GetPointsKeys();
1975 
1976  m_coordim = pCollExp[0]->GetCoordim();
1977 
1978  m_derivFac = pGeomData->GetDerivFactors(pCollExp);
1979 
1980  const Array<OneD, const NekDouble> &z0 = m_stdExp->GetBasis(0)->GetZ();
1981  const Array<OneD, const NekDouble> &z2 = m_stdExp->GetBasis(2)->GetZ();
1982  m_fac0 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1983  m_fac1 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1984  for (int i = 0; i < m_nquad0; ++i)
1985  {
1986  for (int j = 0; j < m_nquad1; ++j)
1987  {
1988  for (int k = 0; k < m_nquad2; ++k)
1989  {
1990  m_fac0[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1991  2.0 / (1 - z2[k]);
1992  m_fac1[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1993  0.5 * (1 + z0[i]);
1994  }
1995  }
1996  }
1997 
1998  m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
1999  m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
2000  m_Deriv2 = &((m_stdExp->GetBasis(2)->GetD())->GetPtr())[0];
2001 
2003  }
StdRegions::StdExpansionSharedPtr m_stdExp
Definition: Operator.h:165
Operator(std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
Constructor.
Definition: Operator.cpp:43
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:1954
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:250

Member Function Documentation

◆ CheckFactors()

virtual void Nektar::Collections::PhysDeriv_SumFac_Prism::CheckFactors ( StdRegions::FactorMap  factors,
int  coll_phys_offset 
)
inlineoverridevirtual

Check the validity of the supplied factor map.

Implements Nektar::Collections::Operator.

Definition at line 1946 of file PhysDeriv.cpp.

1948  {
1949  boost::ignore_unused(factors, coll_phys_offset);
1950  ASSERTL0(false, "Not valid for this operator.");
1951  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:215

References ASSERTL0.

◆ operator()() [1/2]

void Nektar::Collections::PhysDeriv_SumFac_Prism::operator() ( const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output0,
Array< OneD, NekDouble > &  output1,
Array< OneD, NekDouble > &  output2,
Array< OneD, NekDouble > &  wsp 
)
inlinefinaloverridevirtual

Perform operation.

Implements Nektar::Collections::Operator.

Definition at line 1777 of file PhysDeriv.cpp.

1782  {
1783 
1784  int nPhys = m_stdExp->GetTotPoints();
1785  int ntot = m_numElmt * nPhys;
1786  Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1787  Array<OneD, Array<OneD, NekDouble>> Diff(3);
1788  Array<OneD, Array<OneD, NekDouble>> out(3);
1789  out[0] = output0;
1790  out[1] = output1;
1791  out[2] = output2;
1792 
1793  for (int i = 0; i < 3; ++i)
1794  {
1795  Diff[i] = wsp + i * ntot;
1796  }
1797 
1798  // dEta0
1800  m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1801  &Diff[0][0], m_nquad0);
1802 
1803  int cnt = 0;
1804  for (int i = 0; i < m_numElmt; ++i)
1805  {
1806 
1807  // dEta 1
1808  for (int j = 0; j < m_nquad2; ++j)
1809  {
1810  Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1811  &input[i * nPhys + j * m_nquad0 * m_nquad1],
1812  m_nquad0, m_Deriv1, m_nquad1, 0.0,
1813  &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1814  m_nquad0);
1815  }
1816 
1817  // dEta 2
1818  Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1819  &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1820  m_nquad2, 0.0, &Diff[2][i * nPhys],
1821  m_nquad0 * m_nquad1);
1822 
1823  // dxi0 = 2/(1-eta_2) d Eta_0
1824  Vmath::Vmul(nPhys, &m_fac0[0], 1, Diff[0].get() + cnt, 1,
1825  Diff[0].get() + cnt, 1);
1826 
1827  // dxi2 = (1+eta0)/(1-eta_2) d Eta_0 + d/dEta2;
1828  Vmath::Vvtvp(nPhys, &m_fac1[0], 1, Diff[0].get() + cnt, 1,
1829  Diff[2].get() + cnt, 1, Diff[2].get() + cnt, 1);
1830  cnt += nPhys;
1831  }
1832 
1833  // calculate full derivative
1834  if (m_isDeformed)
1835  {
1836  for (int i = 0; i < m_coordim; ++i)
1837  {
1838  Vmath::Vmul(ntot, m_derivFac[i * 3], 1, Diff[0], 1, out[i], 1);
1839  for (int j = 1; j < 3; ++j)
1840  {
1841  Vmath::Vvtvp(ntot, m_derivFac[i * 3 + j], 1, Diff[j], 1,
1842  out[i], 1, out[i], 1);
1843  }
1844  }
1845  }
1846  else
1847  {
1848  Array<OneD, NekDouble> t;
1849  for (int e = 0; e < m_numElmt; ++e)
1850  {
1851  for (int i = 0; i < m_coordim; ++i)
1852  {
1853  Vmath::Smul(m_nqe, m_derivFac[i * 3][e],
1854  Diff[0] + e * m_nqe, 1, t = out[i] + e * m_nqe,
1855  1);
1856 
1857  for (int j = 1; j < 3; ++j)
1858  {
1859  Vmath::Svtvp(m_nqe, m_derivFac[i * 3 + j][e],
1860  Diff[j] + e * m_nqe, 1, out[i] + e * m_nqe,
1861  1, t = out[i] + e * m_nqe, 1);
1862  }
1863  }
1864  }
1865  }
1866  }
static void Dgemm(const char &transa, const char &transb, const int &m, const int &n, const int &k, const double &alpha, const double *a, const int &lda, const double *b, const int &ldb, const double &beta, double *c, const int &ldc)
BLAS level 3: Matrix-matrix multiply C = A x B where op(A)[m x k], op(B)[k x n], C[m x n] DGEMM perfo...
Definition: Blas.hpp:368
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:209
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
svtvp (scalar times vector plus vector): z = alpha*x + y
Definition: Vmath.cpp:622
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:574
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*x.
Definition: Vmath.cpp:248

References Blas::Dgemm(), Vmath::Smul(), Vmath::Svtvp(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ operator()() [2/2]

void Nektar::Collections::PhysDeriv_SumFac_Prism::operator() ( int  dir,
const Array< OneD, const NekDouble > &  input,
Array< OneD, NekDouble > &  output,
Array< OneD, NekDouble > &  wsp 
)
inlinefinaloverridevirtual

Implements Nektar::Collections::Operator.

Definition at line 1868 of file PhysDeriv.cpp.

1871  {
1872  int nPhys = m_stdExp->GetTotPoints();
1873  int ntot = m_numElmt * nPhys;
1874  Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1875  Array<OneD, Array<OneD, NekDouble>> Diff(3);
1876 
1877  for (int i = 0; i < 3; ++i)
1878  {
1879  Diff[i] = wsp + i * ntot;
1880  }
1881 
1882  // dEta0
1884  m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1885  &Diff[0][0], m_nquad0);
1886 
1887  int cnt = 0;
1888  for (int i = 0; i < m_numElmt; ++i)
1889  {
1890 
1891  // dEta 1
1892  for (int j = 0; j < m_nquad2; ++j)
1893  {
1894  Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1895  &input[i * nPhys + j * m_nquad0 * m_nquad1],
1896  m_nquad0, m_Deriv1, m_nquad1, 0.0,
1897  &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1898  m_nquad0);
1899  }
1900 
1901  // dEta 2
1902  Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1903  &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1904  m_nquad2, 0.0, &Diff[2][i * nPhys],
1905  m_nquad0 * m_nquad1);
1906 
1907  // dxi0 = 2/(1-eta_2) d Eta_0
1908  Vmath::Vmul(nPhys, &m_fac0[0], 1, Diff[0].get() + cnt, 1,
1909  Diff[0].get() + cnt, 1);
1910 
1911  // dxi2 = (1+eta0)/(1-eta_2) d Eta_0 + d/dEta2;
1912  Vmath::Vvtvp(nPhys, &m_fac1[0], 1, Diff[0].get() + cnt, 1,
1913  Diff[2].get() + cnt, 1, Diff[2].get() + cnt, 1);
1914  cnt += nPhys;
1915  }
1916 
1917  // calculate full derivative
1918  if (m_isDeformed)
1919  {
1920  // calculate full derivative
1921  Vmath::Vmul(ntot, m_derivFac[dir * 3], 1, Diff[0], 1, output, 1);
1922  for (int j = 1; j < 3; ++j)
1923  {
1924  Vmath::Vvtvp(ntot, m_derivFac[dir * 3 + j], 1, Diff[j], 1,
1925  output, 1, output, 1);
1926  }
1927  }
1928  else
1929  {
1930  Array<OneD, NekDouble> t;
1931  for (int e = 0; e < m_numElmt; ++e)
1932  {
1933  Vmath::Smul(m_nqe, m_derivFac[dir * 3][e], Diff[0] + e * m_nqe,
1934  1, t = output + e * m_nqe, 1);
1935 
1936  for (int j = 1; j < 3; ++j)
1937  {
1938  Vmath::Svtvp(m_nqe, m_derivFac[dir * 3 + j][e],
1939  Diff[j] + e * m_nqe, 1, output + e * m_nqe, 1,
1940  t = output + e * m_nqe, 1);
1941  }
1942  }
1943  }
1944  }

References Blas::Dgemm(), Vmath::Smul(), Vmath::Svtvp(), Vmath::Vmul(), and Vmath::Vvtvp().

Member Data Documentation

◆ m_coordim

int Nektar::Collections::PhysDeriv_SumFac_Prism::m_coordim
protected

Definition at line 1955 of file PhysDeriv.cpp.

◆ m_Deriv0

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv0
protected

Definition at line 1959 of file PhysDeriv.cpp.

◆ m_Deriv1

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv1
protected

Definition at line 1960 of file PhysDeriv.cpp.

◆ m_Deriv2

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv2
protected

Definition at line 1961 of file PhysDeriv.cpp.

◆ m_derivFac

Array<TwoD, const NekDouble> Nektar::Collections::PhysDeriv_SumFac_Prism::m_derivFac
protected

Definition at line 1954 of file PhysDeriv.cpp.

◆ m_fac0

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Prism::m_fac0
protected

Definition at line 1962 of file PhysDeriv.cpp.

◆ m_fac1

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Prism::m_fac1
protected

Definition at line 1963 of file PhysDeriv.cpp.

◆ m_nquad0

const int Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad0
protected

Definition at line 1956 of file PhysDeriv.cpp.

◆ m_nquad1

const int Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad1
protected

Definition at line 1957 of file PhysDeriv.cpp.

◆ m_nquad2

const int Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad2
protected

Definition at line 1958 of file PhysDeriv.cpp.