ERF
Energy Research and Forecasting: An Atmospheric Modeling Code
Public Member Functions | Private Attributes | Static Private Attributes | List of all members
WENO7 Struct Reference

#include <ERF_Interpolation_WENO.H>

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Public Member Functions

 WENO7 (const amrex::Array4< const amrex::Real > &phi)
 
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
 
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
 
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
 
AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real Evaluate (const amrex::Real &sm3, const amrex::Real &sm2, const amrex::Real &sm1, const amrex::Real &s, const amrex::Real &sp1, const amrex::Real &sp2, const amrex::Real &sp3) const
 

Private Attributes

amrex::Array4< const amrex::Real > m_phi
 
const amrex::Real eps =1.0e-8
 
const amrex::Real tol =1.0e-12
 

Static Private Attributes

static constexpr amrex::Real g1 =( 1.0/64.0)
 
static constexpr amrex::Real g2 =(21.0/64.0)
 
static constexpr amrex::Real g3 =(35.0/64.0)
 
static constexpr amrex::Real g4 =( 7.0/64.0)
 

Detailed Description

Interpolation operators used for WENO-7 scheme

Constructor & Destructor Documentation

◆ WENO7()

WENO7::WENO7 ( const amrex::Array4< const amrex::Real > &  phi)
inline
268  : m_phi(phi) {}
WENO7::m_phi
amrex::Array4< const amrex::Real > m_phi
Definition: ERF_Interpolation_WENO.H:433

Member Function Documentation

◆ Evaluate()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real WENO7::Evaluate ( const amrex::Real &  sm3,
const amrex::Real &  sm2,
const amrex::Real &  sm1,
const amrex::Real &  s,
const amrex::Real &  sp1,
const amrex::Real &  sp2,
const amrex::Real &  sp3 
) const
inline
370  {
371  // Smoothing factors
372  amrex::Real b1 = ( sm3 * sm3 * 6649./2880.0
373  - sm3 * sm2 * 2623./160.0
374  + sm3 * sm1 * 9449./480.0
375  - sm3 * s * 11389./1440.0
376  + sm2 * sm2 * 28547./960.0
377  - sm2 * sm1 * 35047./480.0
378  + sm2 * s * 14369./480.0
379  + sm1 * sm1 * 44747./960.0
380  - sm1 * s * 6383./160.0
381  + s * s * 25729./2880.0 );
382  amrex::Real b2 = ( sm2 * sm2 * 3169/2880.0
383  - sm2 * sm1 * 3229/480.0
384  + sm2 * s * 3169/480.0
385  - sm2 * sp1 * 2989/1440.0
386  + sm1 * sm1 * 11147/960.0
387  - sm1 * s * 11767/480.0
388  + sm1 * sp1 * 1283/160.0
389  + s * s * 13667/960.0
390  - s * sp1 * 5069/480.0
391  + sp1 * sp1 * 6649/2880.0 );
392  amrex::Real b3 = ( sm1 * sm1 * 6649./2880.0
393  - sm1 * s * 5069./480.0
394  + sm1 * sp1 * 1283./160.0
395  - sm1 * sp2 * 2989./1440.0
396  + s * s * 13667./960.0
397  - s * sp1 * 11767./480.0
398  + s * sp2 * 3169./480.0
399  + sp1 * sp1 * 11147./960.0
400  - sp1 * sp2 * 3229./480.0
401  + sp2 * sp2 * 3169./2880.0 );
402  amrex::Real b4 = ( s * s * 25729./2880.
403  - s * sp1 * 6383./160.
404  + s * sp2 * 14369./480.
405  - s * sp3 * 11389./1440.
406  + sp1 * sp1 * 44747./960.
407  - sp1 * sp2 * 35047./480.
408  + sp1 * sp3 * 9449./480.
409  + sp2 * sp2 * 28547./960.
410  - sp2 * sp3 * 2623./160.
411  + sp3 * sp3 * 6649./2880. );
412 
413  // Weight factors
414  amrex::Real w1 = g1 / ( (eps + b1) * (eps + b1) );
415  amrex::Real w2 = g2 / ( (eps + b2) * (eps + b2) );
416  amrex::Real w3 = g3 / ( (eps + b3) * (eps + b3) );
417  amrex::Real w4 = g4 / ( (eps + b4) * (eps + b4) );
418 
419  // Weight factor norm
420  amrex::Real wsum = w1 + w2 + w3 + w4;
421 
422  // Taylor expansions
423  amrex::Real v1 = (-0.3125)*sm3 + ( 1.3125)*sm2 + (-2.1875)*sm1 + ( 2.1875)*s;
424  amrex::Real v2 = ( 0.0625)*sm2 + (-0.3125)*sm1 + ( 0.9375)*s + ( 0.3125)*sp1;
425  amrex::Real v3 = (-0.0625)*sm1 + ( 0.5625)*s + ( 0.5625)*sp1 + (-0.0625)*sp2;
426  amrex::Real v4 = ( 0.3125)*s + ( 0.9375)*sp1 + (-0.3125)*sp2 + ( 0.0625)*sp3;
427 
428  // Interpolated value
429  return ( (w1 * v1 + w2 * v2 + w3 * v3 + w4 * v4) / (wsum) );
430  }
WENO7::eps
const amrex::Real eps
Definition: ERF_Interpolation_WENO.H:434
WENO7::g4
static constexpr amrex::Real g4
Definition: ERF_Interpolation_WENO.H:439
WENO7::g3
static constexpr amrex::Real g3
Definition: ERF_Interpolation_WENO.H:438
WENO7::g2
static constexpr amrex::Real g2
Definition: ERF_Interpolation_WENO.H:437
WENO7::g1
static constexpr amrex::Real g1
Definition: ERF_Interpolation_WENO.H:436

Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().

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◆ InterpolateInX()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO7::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
inline
280  {
281  // Data to interpolate on
282  amrex::Real sp3 = m_phi(i+3, j , k , qty_index);
283  amrex::Real sp2 = m_phi(i+2, j , k , qty_index);
284  amrex::Real sp1 = m_phi(i+1, j , k , qty_index);
285  amrex::Real s = m_phi(i , j , k , qty_index);
286  amrex::Real sm1 = m_phi(i-1, j , k , qty_index);
287  amrex::Real sm2 = m_phi(i-2, j , k , qty_index);
288  amrex::Real sm3 = m_phi(i-3, j , k , qty_index);
289  amrex::Real sm4 = m_phi(i-4, j , k , qty_index);
290 
291  if (upw_lo > tol) {
292  val_lo = Evaluate(sm4,sm3,sm2,sm1,s ,sp1,sp2);
293  } else if (upw_lo < -tol) {
294  val_lo = Evaluate(sp3,sp2,sp1,s ,sm1,sm2,sm3);
295  } else {
296  val_lo = 0.5 * (s + sm1);
297  }
298  }
WENO7::Evaluate
AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real Evaluate(const amrex::Real &sm3, const amrex::Real &sm2, const amrex::Real &sm1, const amrex::Real &s, const amrex::Real &sp1, const amrex::Real &sp2, const amrex::Real &sp3) const
Definition: ERF_Interpolation_WENO.H:363
WENO7::tol
const amrex::Real tol
Definition: ERF_Interpolation_WENO.H:435
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◆ InterpolateInY()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO7::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
inline
310  {
311  // Data to interpolate on
312  amrex::Real sp3 = m_phi(i , j+3, k , qty_index);
313  amrex::Real sp2 = m_phi(i , j+2, k , qty_index);
314  amrex::Real sp1 = m_phi(i , j+1, k , qty_index);
315  amrex::Real s = m_phi(i , j , k , qty_index);
316  amrex::Real sm1 = m_phi(i , j-1, k , qty_index);
317  amrex::Real sm2 = m_phi(i , j-2, k , qty_index);
318  amrex::Real sm3 = m_phi(i , j-3, k , qty_index);
319  amrex::Real sm4 = m_phi(i , j-4, k , qty_index);
320 
321  if (upw_lo > tol) {
322  val_lo = Evaluate(sm4,sm3,sm2,sm1,s ,sp1,sp2);
323  } else if (upw_lo < -tol) {
324  val_lo = Evaluate(sp3,sp2,sp1,s ,sm1,sm2,sm3);
325  } else {
326  val_lo = 0.5 * (s + sm1);
327  }
328  }
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◆ InterpolateInZ()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO7::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
inline
340  {
341  // Data to interpolate on
342  amrex::Real sp3 = m_phi(i , j , k+2, qty_index);
343  amrex::Real sp2 = m_phi(i , j , k+2, qty_index);
344  amrex::Real sp1 = m_phi(i , j , k+1, qty_index);
345  amrex::Real s = m_phi(i , j , k , qty_index);
346  amrex::Real sm1 = m_phi(i , j , k-1, qty_index);
347  amrex::Real sm2 = m_phi(i , j , k-2, qty_index);
348  amrex::Real sm3 = m_phi(i , j , k-3, qty_index);
349  amrex::Real sm4 = m_phi(i , j , k-3, qty_index);
350 
351  if (upw_lo > tol) {
352  val_lo = Evaluate(sm4,sm3,sm2,sm1,s ,sp1,sp2);
353  } else if (upw_lo < -tol) {
354  val_lo = Evaluate(sp3,sp2,sp1,s ,sm1,sm2,sm3);
355  } else {
356  val_lo = 0.5 * (s + sm1);
357  }
358  }
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Member Data Documentation

◆ eps

const amrex::Real WENO7::eps =1.0e-8
private

Referenced by Evaluate().

◆ g1

constexpr amrex::Real WENO7::g1 =( 1.0/64.0)
staticconstexprprivate

Referenced by Evaluate().

◆ g2

constexpr amrex::Real WENO7::g2 =(21.0/64.0)
staticconstexprprivate

Referenced by Evaluate().

◆ g3

constexpr amrex::Real WENO7::g3 =(35.0/64.0)
staticconstexprprivate

Referenced by Evaluate().

◆ g4

constexpr amrex::Real WENO7::g4 =( 7.0/64.0)
staticconstexprprivate

Referenced by Evaluate().

◆ m_phi

amrex::Array4<const amrex::Real> WENO7::m_phi
private

Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().

◆ tol

const amrex::Real WENO7::tol =1.0e-12
private

Referenced by InterpolateInX(), InterpolateInY(), and InterpolateInZ().

The documentation for this struct was generated from the following file: