Nektar++
Public Member Functions | Protected Attributes | Private Member Functions | List of all members
Nektar::Collections::PhysDeriv_SumFac_Tet Class Referencefinal

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

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

Public Member Functions

 ~PhysDeriv_SumFac_Tet () 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 void operator() (const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output0, Array< OneD, NekDouble > &output1, Array< OneD, NekDouble > &output2, Array< OneD, NekDouble > &wsp=NullNekDouble1DArray)=0
 Perform operation. More...
 
virtual COLLECTIONS_EXPORT void operator() (int dir, const Array< OneD, const NekDouble > &input, Array< OneD, NekDouble > &output, Array< OneD, NekDouble > &wsp=NullNekDouble1DArray)=0
 
virtual COLLECTIONS_EXPORT ~Operator ()
 
virtual COLLECTIONS_EXPORT void CheckFactors (StdRegions::FactorMap factors, int coll_phys_offset)=0
 Check the validity of the supplied factor map. More...
 
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
 
Array< OneD, NekDoublem_fac2
 
Array< OneD, NekDoublem_fac3
 
- 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_Tet (vector< StdRegions::StdExpansionSharedPtr > pCollExp, CoalescedGeomDataSharedPtr pGeomData, StdRegions::FactorMap factors)
 

Detailed Description

Phys deriv operator using sum-factorisation (Tet)

Definition at line 1477 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Tet()

Nektar::Collections::PhysDeriv_SumFac_Tet::~PhysDeriv_SumFac_Tet ( )
inlinefinal

Definition at line 1482 of file PhysDeriv.cpp.

1483 {
1484 }

◆ PhysDeriv_SumFac_Tet()

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

Definition at line 1709 of file PhysDeriv.cpp.

1712 : Operator(pCollExp, pGeomData, factors),
1713 m_nquad0(m_stdExp->GetNumPoints(0)),
1714 m_nquad1(m_stdExp->GetNumPoints(1)),
1715 m_nquad2(m_stdExp->GetNumPoints(2))
1716 {
1717 LibUtilities::PointsKeyVector PtsKey = m_stdExp->GetPointsKeys();
1718
1719 m_coordim = pCollExp[0]->GetCoordim();
1720
1721 m_derivFac = pGeomData->GetDerivFactors(pCollExp);
1722
1723 m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
1724 m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
1725 m_Deriv2 = &((m_stdExp->GetBasis(2)->GetD())->GetPtr())[0];
1726
1728
1729 const Array<OneD, const NekDouble> &z0 = m_stdExp->GetBasis(0)->GetZ();
1730 const Array<OneD, const NekDouble> &z1 = m_stdExp->GetBasis(1)->GetZ();
1731 const Array<OneD, const NekDouble> &z2 = m_stdExp->GetBasis(2)->GetZ();
1732
1733 m_fac0 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1734 m_fac1 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1735 m_fac2 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1736 m_fac3 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1737 // calculate 2.0/((1-eta_1)(1-eta_2))
1738 for (int i = 0; i < m_nquad0; ++i)
1739 {
1740 for (int j = 0; j < m_nquad1; ++j)
1741 {
1742 for (int k = 0; k < m_nquad2; ++k)
1743 {
1744
1745 m_fac0[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1746 4.0 / ((1 - z1[j]) * (1 - z2[k]));
1747 m_fac1[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1748 2.0 * (1 + z0[i]) / ((1 - z1[j]) * (1 - z2[k]));
1749 m_fac2[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1750 2.0 / (1 - z2[k]);
1751 m_fac3[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1752 (1 + z1[j]) / (1 - z2[k]);
1753 }
1754 }
1755 }
1756 }
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:1695
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:236
StdRegions::ConstFactorMap factors

References m_coordim, m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, m_fac2, m_fac3, 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

◆ CheckFactors()

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

Check the validity of the supplied factor map.

Implements Nektar::Collections::Operator.

Definition at line 1687 of file PhysDeriv.cpp.

1689 {
1690 boost::ignore_unused(factors, coll_phys_offset);
1691 ASSERTL0(false, "Not valid for this operator.");
1692 }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:215

References ASSERTL0, and Nektar::VarcoeffHashingTest::factors.

◆ operator()() [1/2]

void Nektar::Collections::PhysDeriv_SumFac_Tet::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 1486 of file PhysDeriv.cpp.

1491 {
1492
1493 int nPhys = m_stdExp->GetTotPoints();
1494 int ntot = m_numElmt * nPhys;
1495 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1496 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1497 Array<OneD, Array<OneD, NekDouble>> out(3);
1498 out[0] = output0;
1499 out[1] = output1;
1500 out[2] = output2;
1501
1502 for (int i = 0; i < 3; ++i)
1503 {
1504 Diff[i] = wsp + i * ntot;
1505 }
1506
1507 // dEta0
1509 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1510 &Diff[0][0], m_nquad0);
1511
1512 // dEta2
1513 for (int i = 0; i < m_numElmt; ++i)
1514 {
1515 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1516 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1517 m_nquad2, 0.0, &Diff[2][i * nPhys],
1518 m_nquad0 * m_nquad1);
1519 }
1520
1521 for (int i = 0; i < m_numElmt; ++i)
1522 {
1523
1524 // dEta1
1525 for (int j = 0; j < m_nquad2; ++j)
1526 {
1527 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1528 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1529 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1530 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1531 m_nquad0);
1532 }
1533
1534 // dxi2 = (1 + eta_1)/(1 -eta_2)*dEta1 + dEta2
1535 Vmath::Vvtvp(nPhys, m_fac3.get(), 1, Diff[1].get() + i * nPhys, 1,
1536 Diff[2].get() + i * nPhys, 1,
1537 Diff[2].get() + i * nPhys, 1);
1538
1539 // dxi1 = 2/(1 - eta_2) dEta1
1540 Vmath::Vmul(nPhys, m_fac2.get(), 1, Diff[1].get() + i * nPhys, 1,
1541 Diff[1].get() + i * nPhys, 1);
1542
1543 // dxi1 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi1
1544 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1545 Diff[1].get() + i * nPhys, 1,
1546 Diff[1].get() + i * nPhys, 1);
1547
1548 // dxi2 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi2
1549 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1550 Diff[2].get() + i * nPhys, 1,
1551 Diff[2].get() + i * nPhys, 1);
1552
1553 // dxi0 = 4.0/((1-eta_1)(1-eta_2)) dEta0
1554 Vmath::Vmul(nPhys, m_fac0.get(), 1, Diff[0].get() + i * nPhys, 1,
1555 Diff[0].get() + i * nPhys, 1);
1556 }
1557
1558 // calculate full derivative
1559 if (m_isDeformed)
1560 {
1561 for (int i = 0; i < m_coordim; ++i)
1562 {
1563 Vmath::Vmul(ntot, m_derivFac[i * 3], 1, Diff[0], 1, out[i], 1);
1564 for (int j = 1; j < 3; ++j)
1565 {
1566 Vmath::Vvtvp(ntot, m_derivFac[i * 3 + j], 1, Diff[j], 1,
1567 out[i], 1, out[i], 1);
1568 }
1569 }
1570 }
1571 else
1572 {
1573 Array<OneD, NekDouble> t;
1574 for (int e = 0; e < m_numElmt; ++e)
1575 {
1576 for (int i = 0; i < m_coordim; ++i)
1577 {
1578 Vmath::Smul(m_nqe, m_derivFac[i * 3][e],
1579 Diff[0] + e * m_nqe, 1, t = out[i] + e * m_nqe,
1580 1);
1581
1582 for (int j = 1; j < 3; ++j)
1583 {
1584 Vmath::Svtvp(m_nqe, m_derivFac[i * 3 + j][e],
1585 Diff[j] + e * m_nqe, 1, out[i] + e * m_nqe,
1586 1, t = out[i] + e * m_nqe, 1);
1587 }
1588 }
1589 }
1590 }
1591 }
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:385
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 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:617
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 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:245

References Blas::Dgemm(), m_coordim, m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, m_fac2, m_fac3, 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_Tet::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 1593 of file PhysDeriv.cpp.

1596 {
1597 int nPhys = m_stdExp->GetTotPoints();
1598 int ntot = m_numElmt * nPhys;
1599 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1600 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1601
1602 for (int i = 0; i < 3; ++i)
1603 {
1604 Diff[i] = wsp + i * ntot;
1605 }
1606
1607 // dEta0
1609 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1610 &Diff[0][0], m_nquad0);
1611
1612 // dEta2
1613 for (int i = 0; i < m_numElmt; ++i)
1614 {
1615 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1616 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1617 m_nquad2, 0.0, &Diff[2][i * nPhys],
1618 m_nquad0 * m_nquad1);
1619 }
1620
1621 for (int i = 0; i < m_numElmt; ++i)
1622 {
1623
1624 // dEta1
1625 for (int j = 0; j < m_nquad2; ++j)
1626 {
1627 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1628 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1629 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1630 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1631 m_nquad0);
1632 }
1633
1634 // dxi2 = (1 + eta_1)/(1 -eta_2)*dEta1 + dEta2
1635 Vmath::Vvtvp(nPhys, m_fac3.get(), 1, Diff[1].get() + i * nPhys, 1,
1636 Diff[2].get() + i * nPhys, 1,
1637 Diff[2].get() + i * nPhys, 1);
1638
1639 // dxi1 = 2/(1 - eta_2) dEta1
1640 Vmath::Vmul(nPhys, m_fac2.get(), 1, Diff[1].get() + i * nPhys, 1,
1641 Diff[1].get() + i * nPhys, 1);
1642
1643 // dxi1 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi1
1644 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1645 Diff[1].get() + i * nPhys, 1,
1646 Diff[1].get() + i * nPhys, 1);
1647
1648 // dxi2 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi2
1649 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1650 Diff[2].get() + i * nPhys, 1,
1651 Diff[2].get() + i * nPhys, 1);
1652
1653 // dxi0 = 4.0/((1-eta_1)(1-eta_2)) dEta0
1654 Vmath::Vmul(nPhys, m_fac0.get(), 1, Diff[0].get() + i * nPhys, 1,
1655 Diff[0].get() + i * nPhys, 1);
1656 }
1657
1658 // calculate full derivative
1659 if (m_isDeformed)
1660 {
1661 // calculate full derivative
1662 Vmath::Vmul(ntot, m_derivFac[dir * 3], 1, Diff[0], 1, output, 1);
1663 for (int j = 1; j < 3; ++j)
1664 {
1665 Vmath::Vvtvp(ntot, m_derivFac[dir * 3 + j], 1, Diff[j], 1,
1666 output, 1, output, 1);
1667 }
1668 }
1669 else
1670 {
1671 Array<OneD, NekDouble> t;
1672 for (int e = 0; e < m_numElmt; ++e)
1673 {
1674 Vmath::Smul(m_nqe, m_derivFac[dir * 3][e], Diff[0] + e * m_nqe,
1675 1, t = output + e * m_nqe, 1);
1676
1677 for (int j = 1; j < 3; ++j)
1678 {
1679 Vmath::Svtvp(m_nqe, m_derivFac[dir * 3 + j][e],
1680 Diff[j] + e * m_nqe, 1, output + e * m_nqe, 1,
1681 t = output + e * m_nqe, 1);
1682 }
1683 }
1684 }
1685 }

References Blas::Dgemm(), m_Deriv0, m_Deriv1, m_Deriv2, m_derivFac, m_fac0, m_fac1, m_fac2, m_fac3, 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_Tet::m_coordim
protected

Definition at line 1696 of file PhysDeriv.cpp.

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

◆ m_Deriv0

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tet::m_Deriv0
protected

Definition at line 1700 of file PhysDeriv.cpp.

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

◆ m_Deriv1

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tet::m_Deriv1
protected

Definition at line 1701 of file PhysDeriv.cpp.

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

◆ m_Deriv2

NekDouble* Nektar::Collections::PhysDeriv_SumFac_Tet::m_Deriv2
protected

Definition at line 1702 of file PhysDeriv.cpp.

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

◆ m_derivFac

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

Definition at line 1695 of file PhysDeriv.cpp.

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

◆ m_fac0

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

Definition at line 1703 of file PhysDeriv.cpp.

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

◆ m_fac1

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

Definition at line 1704 of file PhysDeriv.cpp.

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

◆ m_fac2

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tet::m_fac2
protected

Definition at line 1705 of file PhysDeriv.cpp.

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

◆ m_fac3

Array<OneD, NekDouble> Nektar::Collections::PhysDeriv_SumFac_Tet::m_fac3
protected

Definition at line 1706 of file PhysDeriv.cpp.

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

◆ m_nquad0

const int Nektar::Collections::PhysDeriv_SumFac_Tet::m_nquad0
protected

Definition at line 1697 of file PhysDeriv.cpp.

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

◆ m_nquad1

const int Nektar::Collections::PhysDeriv_SumFac_Tet::m_nquad1
protected

Definition at line 1698 of file PhysDeriv.cpp.

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

◆ m_nquad2

const int Nektar::Collections::PhysDeriv_SumFac_Tet::m_nquad2
protected

Definition at line 1699 of file PhysDeriv.cpp.

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