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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=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. More...
 
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< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
 Constructor. More...
 
virtual ~Operator ()=default
 
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 void UpdateFactors (StdRegions::FactorMap factors)
 Update the supplied factor map. More...
 
virtual COLLECTIONS_EXPORT void UpdateVarcoeffs (StdRegions::VarCoeffMap &varcoeffs)
 Update the supplied variable coefficients. More...
 
unsigned int GetWspSize ()
 Get the size of the required workspace. More...
 
unsigned int GetNumElmt ()
 Get number of elements. More...
 
StdRegions::StdExpansionSharedPtr GetExpSharedPtr ()
 Get expansion pointer. More...
 
unsigned int GetInputSize (bool defaultIn=true)
 
unsigned int GetOutputSize (bool defaultOut=true)
 

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
 number of elements that the operator is applied on More...
 
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 More...
 
unsigned int m_outputSize
 number of modes or quadrature points that are taken as output from an operator More...
 
unsigned int m_inputSizeOther
 Number of modes or quadrature points, opposite to m_inputSize. More...
 
unsigned int m_outputSizeOther
 Number of modes or quadrature points, opposite to m_outputSize. More...
 

Private Member Functions

 PhysDeriv_SumFac_Tet (vector< StdRegions::StdExpansionSharedPtr > 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 (Tet)

Definition at line 1400 of file PhysDeriv.cpp.

Constructor & Destructor Documentation

◆ ~PhysDeriv_SumFac_Tet()

Nektar::Collections::PhysDeriv_SumFac_Tet::~PhysDeriv_SumFac_Tet ( )
finaldefault

◆ PhysDeriv_SumFac_Tet()

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

Definition at line 1619 of file PhysDeriv.cpp.

1622 : Operator(pCollExp, pGeomData, factors), PhysDeriv_Helper(),
1623 m_nquad0(m_stdExp->GetNumPoints(0)),
1624 m_nquad1(m_stdExp->GetNumPoints(1)),
1625 m_nquad2(m_stdExp->GetNumPoints(2))
1626 {
1627 m_coordim = pCollExp[0]->GetCoordim();
1628
1629 m_derivFac = pGeomData->GetDerivFactors(pCollExp);
1630
1631 m_Deriv0 = &((m_stdExp->GetBasis(0)->GetD())->GetPtr())[0];
1632 m_Deriv1 = &((m_stdExp->GetBasis(1)->GetD())->GetPtr())[0];
1633 m_Deriv2 = &((m_stdExp->GetBasis(2)->GetD())->GetPtr())[0];
1634
1636
1637 const Array<OneD, const NekDouble> &z0 = m_stdExp->GetBasis(0)->GetZ();
1638 const Array<OneD, const NekDouble> &z1 = m_stdExp->GetBasis(1)->GetZ();
1639 const Array<OneD, const NekDouble> &z2 = m_stdExp->GetBasis(2)->GetZ();
1640
1641 m_fac0 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1642 m_fac1 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1643 m_fac2 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1644 m_fac3 = Array<OneD, NekDouble>(m_nquad0 * m_nquad1 * m_nquad2);
1645
1646 // calculate 2.0/((1-eta_1)(1-eta_2))
1647 for (int i = 0; i < m_nquad0; ++i)
1648 {
1649 for (int j = 0; j < m_nquad1; ++j)
1650 {
1651 for (int k = 0; k < m_nquad2; ++k)
1652 {
1653 m_fac0[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1654 4.0 / ((1 - z1[j]) * (1 - z2[k]));
1655 m_fac1[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1656 2.0 * (1 + z0[i]) / ((1 - z1[j]) * (1 - z2[k]));
1657 m_fac2[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1658 2.0 / (1 - z2[k]);
1659 m_fac3[i + j * m_nquad0 + k * m_nquad0 * m_nquad1] =
1660 (1 + z1[j]) / (1 - z2[k]);
1661 }
1662 }
1663 }
1664 }
StdRegions::StdExpansionSharedPtr m_stdExp
Definition: Operator.h:217
unsigned int m_numElmt
number of elements that the operator is applied on
Definition: Operator.h:219
Operator(std::vector< StdRegions::StdExpansionSharedPtr > pCollExp, std::shared_ptr< CoalescedGeomData > GeomData, StdRegions::FactorMap factors)
Constructor.
Definition: Operator.cpp:66
Array< TwoD, const NekDouble > m_derivFac
Definition: PhysDeriv.cpp:1605
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

◆ 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 
)
inlinefinalvirtual

Perform operation.

Implements Nektar::Collections::Operator.

Definition at line 1408 of file PhysDeriv.cpp.

1413 {
1414 int nPhys = m_stdExp->GetTotPoints();
1415 int ntot = m_numElmt * nPhys;
1416 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1417 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1418 Array<OneD, Array<OneD, NekDouble>> out(3);
1419 out[0] = output0;
1420 out[1] = output1;
1421 out[2] = output2;
1422
1423 for (int i = 0; i < 3; ++i)
1424 {
1425 Diff[i] = wsp + i * ntot;
1426 }
1427
1428 // dEta0
1430 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1431 &Diff[0][0], m_nquad0);
1432
1433 // dEta2
1434 for (int i = 0; i < m_numElmt; ++i)
1435 {
1436 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1437 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1438 m_nquad2, 0.0, &Diff[2][i * nPhys],
1439 m_nquad0 * m_nquad1);
1440 }
1441
1442 for (int i = 0; i < m_numElmt; ++i)
1443 {
1444 // dEta1
1445 for (int j = 0; j < m_nquad2; ++j)
1446 {
1447 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1448 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1449 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1450 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1451 m_nquad0);
1452 }
1453
1454 // dxi2 = (1 + eta_1)/(1 -eta_2)*dEta1 + dEta2
1455 Vmath::Vvtvp(nPhys, m_fac3.get(), 1, Diff[1].get() + i * nPhys, 1,
1456 Diff[2].get() + i * nPhys, 1,
1457 Diff[2].get() + i * nPhys, 1);
1458
1459 // dxi1 = 2/(1 - eta_2) dEta1
1460 Vmath::Vmul(nPhys, m_fac2.get(), 1, Diff[1].get() + i * nPhys, 1,
1461 Diff[1].get() + i * nPhys, 1);
1462
1463 // dxi1 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi1
1464 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1465 Diff[1].get() + i * nPhys, 1,
1466 Diff[1].get() + i * nPhys, 1);
1467
1468 // dxi2 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi2
1469 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1470 Diff[2].get() + i * nPhys, 1,
1471 Diff[2].get() + i * nPhys, 1);
1472
1473 // dxi0 = 4.0/((1-eta_1)(1-eta_2)) dEta0
1474 Vmath::Vmul(nPhys, m_fac0.get(), 1, Diff[0].get() + i * nPhys, 1,
1475 Diff[0].get() + i * nPhys, 1);
1476 }
1477
1478 // calculate full derivative
1479 if (m_isDeformed)
1480 {
1481 for (int i = 0; i < m_coordim; ++i)
1482 {
1483 Vmath::Vmul(ntot, m_derivFac[i * 3], 1, Diff[0], 1, out[i], 1);
1484 for (int j = 1; j < 3; ++j)
1485 {
1486 Vmath::Vvtvp(ntot, m_derivFac[i * 3 + j], 1, Diff[j], 1,
1487 out[i], 1, out[i], 1);
1488 }
1489 }
1490 }
1491 else
1492 {
1493 Array<OneD, NekDouble> t;
1494 for (int e = 0; e < m_numElmt; ++e)
1495 {
1496 for (int i = 0; i < m_coordim; ++i)
1497 {
1498 Vmath::Smul(m_nqe, m_derivFac[i * 3][e],
1499 Diff[0] + e * m_nqe, 1, t = out[i] + e * m_nqe,
1500 1);
1501 for (int j = 1; j < 3; ++j)
1502 {
1503 Vmath::Svtvp(m_nqe, m_derivFac[i * 3 + j][e],
1504 Diff[j] + e * m_nqe, 1, out[i] + e * m_nqe,
1505 1, t = out[i] + e * m_nqe, 1);
1506 }
1507 }
1508 }
1509 }
1510 }
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:383
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
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
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
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, 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 
)
inlinefinalvirtual

Implements Nektar::Collections::Operator.

Definition at line 1512 of file PhysDeriv.cpp.

1515 {
1516 int nPhys = m_stdExp->GetTotPoints();
1517 int ntot = m_numElmt * nPhys;
1518 Array<OneD, NekDouble> tmp0, tmp1, tmp2;
1519 Array<OneD, Array<OneD, NekDouble>> Diff(3);
1520
1521 for (int i = 0; i < 3; ++i)
1522 {
1523 Diff[i] = wsp + i * ntot;
1524 }
1525
1526 // dEta0
1528 m_nquad0, 1.0, m_Deriv0, m_nquad0, &input[0], m_nquad0, 0.0,
1529 &Diff[0][0], m_nquad0);
1530
1531 // dEta2
1532 for (int i = 0; i < m_numElmt; ++i)
1533 {
1534 Blas::Dgemm('N', 'T', m_nquad0 * m_nquad1, m_nquad2, m_nquad2, 1.0,
1535 &input[i * nPhys], m_nquad0 * m_nquad1, m_Deriv2,
1536 m_nquad2, 0.0, &Diff[2][i * nPhys],
1537 m_nquad0 * m_nquad1);
1538 }
1539
1540 for (int i = 0; i < m_numElmt; ++i)
1541 {
1542 // dEta1
1543 for (int j = 0; j < m_nquad2; ++j)
1544 {
1545 Blas::Dgemm('N', 'T', m_nquad0, m_nquad1, m_nquad1, 1.0,
1546 &input[i * nPhys + j * m_nquad0 * m_nquad1],
1547 m_nquad0, m_Deriv1, m_nquad1, 0.0,
1548 &Diff[1][i * nPhys + j * m_nquad0 * m_nquad1],
1549 m_nquad0);
1550 }
1551
1552 // dxi2 = (1 + eta_1)/(1 -eta_2)*dEta1 + dEta2
1553 Vmath::Vvtvp(nPhys, m_fac3.get(), 1, Diff[1].get() + i * nPhys, 1,
1554 Diff[2].get() + i * nPhys, 1,
1555 Diff[2].get() + i * nPhys, 1);
1556
1557 // dxi1 = 2/(1 - eta_2) dEta1
1558 Vmath::Vmul(nPhys, m_fac2.get(), 1, Diff[1].get() + i * nPhys, 1,
1559 Diff[1].get() + i * nPhys, 1);
1560
1561 // dxi1 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi1
1562 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1563 Diff[1].get() + i * nPhys, 1,
1564 Diff[1].get() + i * nPhys, 1);
1565
1566 // dxi2 = 2.0(1+eta_0)/((1-eta_1)(1-eta_2)) dEta0 + dxi2
1567 Vmath::Vvtvp(nPhys, m_fac1.get(), 1, Diff[0].get() + i * nPhys, 1,
1568 Diff[2].get() + i * nPhys, 1,
1569 Diff[2].get() + i * nPhys, 1);
1570
1571 // dxi0 = 4.0/((1-eta_1)(1-eta_2)) dEta0
1572 Vmath::Vmul(nPhys, m_fac0.get(), 1, Diff[0].get() + i * nPhys, 1,
1573 Diff[0].get() + i * nPhys, 1);
1574 }
1575
1576 // calculate full derivative
1577 if (m_isDeformed)
1578 {
1579 // calculate full derivative
1580 Vmath::Vmul(ntot, m_derivFac[dir * 3], 1, Diff[0], 1, output, 1);
1581 for (int j = 1; j < 3; ++j)
1582 {
1583 Vmath::Vvtvp(ntot, m_derivFac[dir * 3 + j], 1, Diff[j], 1,
1584 output, 1, output, 1);
1585 }
1586 }
1587 else
1588 {
1589 Array<OneD, NekDouble> t;
1590 for (int e = 0; e < m_numElmt; ++e)
1591 {
1592 Vmath::Smul(m_nqe, m_derivFac[dir * 3][e], Diff[0] + e * m_nqe,
1593 1, t = output + e * m_nqe, 1);
1594 for (int j = 1; j < 3; ++j)
1595 {
1596 Vmath::Svtvp(m_nqe, m_derivFac[dir * 3 + j][e],
1597 Diff[j] + e * m_nqe, 1, output + e * m_nqe, 1,
1598 t = output + e * m_nqe, 1);
1599 }
1600 }
1601 }
1602 }

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 1606 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 1610 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 1611 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 1612 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 1605 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 1613 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 1614 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 1615 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 1616 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 1607 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 1608 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 1609 of file PhysDeriv.cpp.

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