#include <ERF_Interpolation_WENO_Z.H>
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| WENO_Z5 (const amrex::Array4< const amrex::Real > &phi) |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE void | InterpolateInX (const int &i, const int &j, const int &k, const int &qty_index, amrex::Real &val_lo, amrex::Real upw_lo, const amrex::Real) const |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE void | InterpolateInY (const int &i, const int &j, const int &k, const int &qty_index, amrex::Real &val_lo, amrex::Real upw_lo, const amrex::Real) const |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE void | InterpolateInZ (const int &i, const int &j, const int &k, const int &qty_index, amrex::Real &val_lo, amrex::Real upw_lo, const amrex::Real) const |
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AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real | Evaluate (const amrex::Real &sm2, const amrex::Real &sm1, const amrex::Real &s, const amrex::Real &sp1, const amrex::Real &sp2) const |
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amrex::Array4< const amrex::Real > | m_phi |
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const amrex::Real | eps =1.0e-6 |
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const amrex::Real | tol =1.0e-12 |
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static constexpr amrex::Real | c1 =(13.0/12.0) |
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static constexpr amrex::Real | g1 =(1.0/10.0) |
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static constexpr amrex::Real | g2 =(3.0/5.0) |
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static constexpr amrex::Real | g3 =(3.0/10.0) |
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Interpolation operators used for WENO_Z-5 scheme
◆ WENO_Z5()
WENO_Z5::WENO_Z5 |
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const amrex::Array4< const amrex::Real > & |
phi | ) |
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amrex::Array4< const amrex::Real > m_phi
Definition: ERF_Interpolation_WENO_Z.H:381
◆ Evaluate()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real WENO_Z5::Evaluate |
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const amrex::Real & |
sm2, |
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const amrex::Real & |
sm1, |
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const amrex::Real & |
s, |
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const amrex::Real & |
sp1, |
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const amrex::Real & |
sp2 |
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355 amrex::Real b1 =
c1 * (sm2 - 2.0 * sm1 + s) * (sm2 - 2.0 * sm1 + s) +
356 0.25 * (sm2 - 4.0 * sm1 + 3.0 * s) * (sm2 - 4.0 * sm1 + 3.0 * s);
357 amrex::Real b2 =
c1 * (sm1 - 2.0 * s + sp1) * (sm1 - 2.0 * s + sp1) +
358 0.25 * (sm1 - sp1) * (sm1 - sp1);
359 amrex::Real b3 =
c1 * (s - 2.0 * sp1 + sp2) * (s - 2.0 * sp1 + sp2) +
360 0.25 * (3.0 * s - 4.0 * sp1 + sp2) * (3.0 * s - 4.0 * sp1 + sp2);
363 amrex::Real t5 = std::abs(b3 - b1);
364 amrex::Real w1 =
g1 * ( 1.0 + (t5*t5) / ((
eps + b1) * (
eps + b1)) );
365 amrex::Real w2 =
g2 * ( 1.0 + (t5*t5) / ((
eps + b2) * (
eps + b2)) );
366 amrex::Real w3 =
g3 * ( 1.0 + (t5*t5) / ((
eps + b3) * (
eps + b3)) );
369 amrex::Real wsum = w1 + w2 + w3;
372 amrex::Real v1 = 2.0 * sm2 - 7.0 * sm1 + 11.0 * s;
373 amrex::Real v2 = -sm1 + 5.0 * s + 2.0 * sp1;
374 amrex::Real v3 = 2.0 * s + 5.0 * sp1 - sp2;
377 return ( (w1 * v1 + w2 * v2 + w3 * v3) / (6.0 * wsum) );
static constexpr amrex::Real g3
Definition: ERF_Interpolation_WENO_Z.H:387
static constexpr amrex::Real g1
Definition: ERF_Interpolation_WENO_Z.H:385
static constexpr amrex::Real c1
Definition: ERF_Interpolation_WENO_Z.H:384
const amrex::Real eps
Definition: ERF_Interpolation_WENO_Z.H:382
static constexpr amrex::Real g2
Definition: ERF_Interpolation_WENO_Z.H:386
Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().
◆ InterpolateInX()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO_Z5::InterpolateInX |
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const int & |
i, |
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const int & |
j, |
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const int & |
k, |
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const int & |
qty_index, |
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amrex::Real & |
val_lo, |
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amrex::Real |
upw_lo, |
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const amrex::Real |
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273 amrex::Real sp2 =
m_phi(i+2, j , k , qty_index);
274 amrex::Real sp1 =
m_phi(i+1, j , k , qty_index);
275 amrex::Real s =
m_phi(i , j , k , qty_index);
276 amrex::Real sm1 =
m_phi(i-1, j , k , qty_index);
277 amrex::Real sm2 =
m_phi(i-2, j , k , qty_index);
278 amrex::Real sm3 =
m_phi(i-3, j , k , qty_index);
281 val_lo =
Evaluate(sm3,sm2,sm1,s ,sp1);
282 }
else if (upw_lo < -
tol) {
283 val_lo =
Evaluate(sp2,sp1,s,sm1,sm2);
285 val_lo = 0.5 * (s + sm1);
AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real Evaluate(const amrex::Real &sm2, const amrex::Real &sm1, const amrex::Real &s, const amrex::Real &sp1, const amrex::Real &sp2) const
Definition: ERF_Interpolation_WENO_Z.H:348
const amrex::Real tol
Definition: ERF_Interpolation_WENO_Z.H:383
◆ InterpolateInY()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO_Z5::InterpolateInY |
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const int & |
i, |
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const int & |
j, |
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const int & |
k, |
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const int & |
qty_index, |
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amrex::Real & |
val_lo, |
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amrex::Real |
upw_lo, |
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const amrex::Real |
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301 amrex::Real sp2 =
m_phi(i , j+2, k , qty_index);
302 amrex::Real sp1 =
m_phi(i , j+1, k , qty_index);
303 amrex::Real s =
m_phi(i , j , k , qty_index);
304 amrex::Real sm1 =
m_phi(i , j-1, k , qty_index);
305 amrex::Real sm2 =
m_phi(i , j-2, k , qty_index);
306 amrex::Real sm3 =
m_phi(i , j-3, k , qty_index);
309 val_lo =
Evaluate(sm3,sm2,sm1,s ,sp1);
310 }
else if (upw_lo < -
tol) {
311 val_lo =
Evaluate(sp2,sp1,s,sm1,sm2);
313 val_lo = 0.5 * (s + sm1);
◆ InterpolateInZ()
AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO_Z5::InterpolateInZ |
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const int & |
i, |
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const int & |
j, |
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const int & |
k, |
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const int & |
qty_index, |
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amrex::Real & |
val_lo, |
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amrex::Real |
upw_lo, |
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const amrex::Real |
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329 amrex::Real sp2 =
m_phi(i , j , k+2, qty_index);
330 amrex::Real sp1 =
m_phi(i , j , k+1, qty_index);
331 amrex::Real s =
m_phi(i , j , k , qty_index);
332 amrex::Real sm1 =
m_phi(i , j , k-1, qty_index);
333 amrex::Real sm2 =
m_phi(i , j , k-2, qty_index);
334 amrex::Real sm3 =
m_phi(i , j , k-3, qty_index);
337 val_lo =
Evaluate(sm3,sm2,sm1,s ,sp1);
338 }
else if (upw_lo < -
tol) {
339 val_lo =
Evaluate(sp2,sp1,s,sm1,sm2);
341 val_lo = 0.5 * (s + sm1);
◆ c1
constexpr amrex::Real WENO_Z5::c1 =(13.0/12.0) |
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staticconstexprprivate |
◆ eps
const amrex::Real WENO_Z5::eps =1.0e-6 |
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private |
◆ g1
constexpr amrex::Real WENO_Z5::g1 =(1.0/10.0) |
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staticconstexprprivate |
◆ g2
constexpr amrex::Real WENO_Z5::g2 =(3.0/5.0) |
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staticconstexprprivate |
◆ g3
constexpr amrex::Real WENO_Z5::g3 =(3.0/10.0) |
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staticconstexprprivate |
◆ m_phi
amrex::Array4<const amrex::Real> WENO_Z5::m_phi |
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◆ tol
const amrex::Real WENO_Z5::tol =1.0e-12 |
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The documentation for this struct was generated from the following file: