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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=default
 
void operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp) final
 Perform operation.
 
void operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp) final
 
- Public Member Functions inherited from Nektar::Collections::Operator
 Operator (std::vector< LocalRegions::ExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
 Constructor.
 
virtual ~Operator ()=default
 
virtual COLLECTIONS_EXPORT void UpdateFactors (StdRegions::FactorMap factors)
 Update the supplied factor map.
 
virtual COLLECTIONS_EXPORT void UpdateVarcoeffs (StdRegions::VarCoeffMap &varcoeffs)
 Update the supplied variable coefficients.
 
unsigned int GetWspSize ()
 Get the size of the required workspace.
 
unsigned int GetNumElmt ()
 Get number of elements.
 
StdRegions::StdExpansionSharedPtr GetExpSharedPtr ()
 Get expansion pointer.
 
unsigned int GetInputSize (void)
 
unsigned int GetOutputSize (void)
 
unsigned int GetPhysSize (void)
 
unsigned int GetCoeffSize (void)
 

Protected Attributes

Array< TwoD, const NekDouble > m_derivFac
 
int m_coordim
 
const int m_nquad0
 
const int m_nquad1
 
const int m_nquad2
 
NekDouble * m_Deriv0
 
NekDouble * m_Deriv1
 
NekDouble * m_Deriv2
 
Array< OneD, NekDouble > m_fac0
 
Array< OneD, NekDouble > m_fac1
 
- Protected Attributes inherited from Nektar::Collections::Operator
bool m_isDeformed
 
StdRegions::StdExpansionSharedPtr m_stdExp
 
unsigned int m_numElmt
 number of elements that the operator is applied on
 
unsigned int m_nqe
 
unsigned int m_wspSize
 
unsigned int m_inputSize
 number of modes or quadrature points that are passed as input to an operator
 
unsigned int m_outputSize
 number of modes or quadrature points that are taken as output from an operator
 

Private Member Functions

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

Additional Inherited Members

- Protected Member Functions inherited from Nektar::Collections::PhysDeriv_Helper
 PhysDeriv_Helper ()
 

Detailed Description

Phys deriv operator using sum-factorisation (Prism)

Definition at line 1663 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Prism()

Nektar::Collections::PhysDeriv_SumFac_Prism::~PhysDeriv_SumFac_Prism ( )
finaldefault

◆ PhysDeriv_SumFac_Prism()

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

Definition at line 1850 of file PhysDeriv.cpp.

1853 : Operator(pCollExp, pGeomData, factors), PhysDeriv_Helper(),
1854 m_nquad0(m_stdExp->GetNumPoints(0)),
1855 m_nquad1(m_stdExp->GetNumPoints(1)),
1856 m_nquad2(m_stdExp->GetNumPoints(2))
1857 {
1858 m_coordim = pCollExp[0]->GetCoordim();
1859
1860 m_derivFac = pGeomData->GetDerivFactors(pCollExp);
1861
1862 const Array<OneD, const NekDouble> &z0 = m_stdExp->GetBasis(0)->GetZ();
1863 const Array<OneD, const NekDouble> &z2 = m_stdExp->GetBasis(2)->GetZ();
1864 m_fac0 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1865 m_fac1 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1866 for (int i = 0; i < m_nquad0; ++i)
1867 {
1868 for (int j = 0; j < m_nquad1; ++j)
1869 {
1870 for (int k = 0; k < m_nquad2; ++k)
1871 {
1872 m_fac0[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1873 2.0 / (1 - z2[k]);
1874 m_fac1[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1875 0.5 * (1 + z0[i]);
1876 }
1877 }
1878 }
1879
1880 m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
1881 m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
1882 m_Deriv2 = &((m_stdExp->GetBasis(2)->GetD())->GetPtr())[0];
1883
1884 m_wspSize = 3 * m_nquad0 * m_nquad1 * m_nquad2 * m_numElmt;
1885 }
Nektar::Collections::Operator::m_stdExp
StdRegions::StdExpansionSharedPtr m_stdExp
Definition Operator.h:230
Nektar::Collections::Operator::m_numElmt
unsigned int m_numElmt
number of elements that the operator is applied on
Definition Operator.h:232
Nektar::Collections::Operator::Operator
Operator(std::vector< LocalRegions::ExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
Constructor.
Definition Operator.cpp:66
Nektar::Collections::PhysDeriv_Helper::PhysDeriv_Helper
PhysDeriv_Helper()
Definition PhysDeriv.cpp:65
Nektar::Collections::PhysDeriv_SumFac_Prism::m_fac1
Array< OneD, NekDouble > m_fac1
Definition PhysDeriv.cpp:1847
Nektar::Collections::PhysDeriv_SumFac_Prism::m_derivFac
Array< TwoD, const NekDouble > m_derivFac
Definition PhysDeriv.cpp:1838
Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad1
const int m_nquad1
Definition PhysDeriv.cpp:1841
Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad2
const int m_nquad2
Definition PhysDeriv.cpp:1842
Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv2
NekDouble * m_Deriv2
Definition PhysDeriv.cpp:1845
Nektar::Collections::PhysDeriv_SumFac_Prism::m_fac0
Array< OneD, NekDouble > m_fac0
Definition PhysDeriv.cpp:1846
Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv1
NekDouble * m_Deriv1
Definition PhysDeriv.cpp:1844
Nektar::Collections::PhysDeriv_SumFac_Prism::m_coordim
int m_coordim
Definition PhysDeriv.cpp:1839
Nektar::Collections::PhysDeriv_SumFac_Prism::m_nquad0
const int m_nquad0
Definition PhysDeriv.cpp:1840
Nektar::Collections::PhysDeriv_SumFac_Prism::m_Deriv0
NekDouble * m_Deriv0
Definition PhysDeriv.cpp:1843

References m_coordim, m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, m_nquad0, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_stdExp, and Nektar::Collections::Operator::m_wspSize.

Member Function Documentation

◆ 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 
)
inlinefinalvirtual

Perform operation.

Implements Nektar::Collections::Operator.

Definition at line 1671 of file PhysDeriv.cpp.

1676 {
1677 int nPhys = m_stdExp->GetTotPoints();
1678 int ntot = m_numElmt * nPhys;
1679 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1680 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1681 Array<OneD, Array<OneD, NekDouble>> out(3);
1682 out[0] = output0;
1683 out[1] = output1;
1684 out[2] = output2;
1685
1686 for (int i = 0; i < 3; ++i)
1687 {
1688 Diff[i] = wsp + i * ntot;
1689 }
1690
1691 // dEta0
1692 Blas::Dgemm('N', 'N', m_nquad0, m_nquad1 * m_nquad2 * m_numElmt,
1693 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1694 &Diff[0][0], m_nquad0);
1695
1696 int cnt = 0;
1697 for (int i = 0; i < m_numElmt; ++i)
1698 {
1699 // dEta 1
1700 for (int j = 0; j < m_nquad2; ++j)
1701 {
1702 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1703 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1704 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1705 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1706 m_nquad0);
1707 }
1708
1709 // dEta 2
1710 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1711 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1712 m_nquad2, 0.0, &Diff[2][i * nPhys],
1713 m_nquad0 * m_nquad1);
1714
1715 // dxi0 = 2/(1-eta_2) d Eta_0
1716 Vmath::Vmul(nPhys, &m_fac0[0], 1, Diff[0].data() + cnt, 1,
1717 Diff[0].data() + cnt, 1);
1718
1719 // dxi2 = (1+eta0)/(1-eta_2) d Eta_0 + d/dEta2;
1720 Vmath::Vvtvp(nPhys, &m_fac1[0], 1, Diff[0].data() + cnt, 1,
1721 Diff[2].data() + cnt, 1, Diff[2].data() + cnt, 1);
1722 cnt += nPhys;
1723 }
1724
1725 // calculate full derivative
1726 if (m_isDeformed)
1727 {
1728 for (int i = 0; i < m_coordim; ++i)
1729 {
1730 Vmath::Vmul(ntot, m_derivFac[i * 3], 1, Diff[0], 1, out[i], 1);
1731 for (int j = 1; j < 3; ++j)
1732 {
1733 Vmath::Vvtvp(ntot, m_derivFac[i * 3 + j], 1, Diff[j], 1,
1734 out[i], 1, out[i], 1);
1735 }
1736 }
1737 }
1738 else
1739 {
1740 Array<OneD, NekDouble> t;
1741 for (int e = 0; e < m_numElmt; ++e)
1742 {
1743 for (int i = 0; i < m_coordim; ++i)
1744 {
1745 Vmath::Smul(m_nqe, m_derivFac[i * 3][e],
1746 Diff[0] + e * m_nqe, 1, t = out[i] + e * m_nqe,
1747 1);
1748
1749 for (int j = 1; j < 3; ++j)
1750 {
1751 Vmath::Svtvp(m_nqe, m_derivFac[i * 3 + j][e],
1752 Diff[j] + e * m_nqe, 1, out[i] + e * m_nqe,
1753 1, t = out[i] + e * m_nqe, 1);
1754 }
1755 }
1756 }
1757 }
1758 }
Blas::Dgemm
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:324
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition Vmath.hpp:72
Vmath::Svtvp
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.hpp:396
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition Vmath.hpp:366
Vmath::Smul
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.hpp:100

References Blas::Dgemm(), m_coordim, m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, Nektar::Collections::Operator::m_isDeformed, Nektar::Collections::Operator::m_nqe, m_nquad0, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_stdExp, 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 
)
inlinefinalvirtual

Implements Nektar::Collections::Operator.

Definition at line 1760 of file PhysDeriv.cpp.

1763 {
1764 int nPhys = m_stdExp->GetTotPoints();
1765 int ntot = m_numElmt * nPhys;
1766 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1767 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1768
1769 for (int i = 0; i < 3; ++i)
1770 {
1771 Diff[i] = wsp + i * ntot;
1772 }
1773
1774 // dEta0
1775 Blas::Dgemm('N', 'N', m_nquad0, m_nquad1 * m_nquad2 * m_numElmt,
1776 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1777 &Diff[0][0], m_nquad0);
1778
1779 int cnt = 0;
1780 for (int i = 0; i < m_numElmt; ++i)
1781 {
1782 // dEta 1
1783 for (int j = 0; j < m_nquad2; ++j)
1784 {
1785 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1786 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1787 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1788 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1789 m_nquad0);
1790 }
1791
1792 // dEta 2
1793 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1794 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1795 m_nquad2, 0.0, &Diff[2][i * nPhys],
1796 m_nquad0 * m_nquad1);
1797
1798 // dxi0 = 2/(1-eta_2) d Eta_0
1799 Vmath::Vmul(nPhys, &m_fac0[0], 1, Diff[0].data() + cnt, 1,
1800 Diff[0].data() + cnt, 1);
1801
1802 // dxi2 = (1+eta0)/(1-eta_2) d Eta_0 + d/dEta2;
1803 Vmath::Vvtvp(nPhys, &m_fac1[0], 1, Diff[0].data() + cnt, 1,
1804 Diff[2].data() + cnt, 1, Diff[2].data() + cnt, 1);
1805 cnt += nPhys;
1806 }
1807
1808 // calculate full derivative
1809 if (m_isDeformed)
1810 {
1811 // calculate full derivative
1812 Vmath::Vmul(ntot, m_derivFac[dir * 3], 1, Diff[0], 1, output, 1);
1813 for (int j = 1; j < 3; ++j)
1814 {
1815 Vmath::Vvtvp(ntot, m_derivFac[dir * 3 + j], 1, Diff[j], 1,
1816 output, 1, output, 1);
1817 }
1818 }
1819 else
1820 {
1821 Array<OneD, NekDouble> t;
1822 for (int e = 0; e < m_numElmt; ++e)
1823 {
1824 Vmath::Smul(m_nqe, m_derivFac[dir * 3][e], Diff[0] + e * m_nqe,
1825 1, t = output + e * m_nqe, 1);
1826
1827 for (int j = 1; j < 3; ++j)
1828 {
1829 Vmath::Svtvp(m_nqe, m_derivFac[dir * 3 + j][e],
1830 Diff[j] + e * m_nqe, 1, output + e * m_nqe, 1,
1831 t = output + e * m_nqe, 1);
1832 }
1833 }
1834 }
1835 }

References Blas::Dgemm(), m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, Nektar::Collections::Operator::m_isDeformed, Nektar::Collections::Operator::m_nqe, m_nquad0, m_nquad1, m_nquad2, Nektar::Collections::Operator::m_numElmt, Nektar::Collections::Operator::m_stdExp, 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 1839 of file PhysDeriv.cpp.

Referenced by operator()(), and PhysDeriv_SumFac_Prism().

◆ m_Deriv0

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

Definition at line 1843 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_Deriv1

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

Definition at line 1844 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_Deriv2

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

Definition at line 1845 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_derivFac

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

Definition at line 1838 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_fac0

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

Definition at line 1846 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_fac1

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

Definition at line 1847 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_nquad0

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

Definition at line 1840 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_nquad1

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

Definition at line 1841 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

◆ m_nquad2

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

Definition at line 1842 of file PhysDeriv.cpp.

Referenced by operator()(), operator()(), and PhysDeriv_SumFac_Prism().

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