ERF
Energy Research and Forecasting: An Atmospheric Modeling Code
Public Member Functions | Private Attributes | Static Private Attributes | List of all members
WENO_Z5 Struct Reference

#include <ERF_Interpolation_WENO_Z.H>

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Public Member Functions

 WENO_Z5 (const amrex::Array4< const amrex::Real > &phi, const amrex::Real)
 
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_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_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_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
 

Private Attributes

amrex::Array4< const amrex::Real > m_phi
 
const amrex::Real eps =amrex::Real(1.0e-40)
 

Static Private Attributes

static constexpr amrex::Real c1 =(amrex::Real(13.0)/amrex::Real(12.0))
 
static constexpr amrex::Real g1 =(amrex::Real(1)/amrex::Real(10.0))
 
static constexpr amrex::Real g2 =(amrex::Real(3)/amrex::Real(5.0))
 
static constexpr amrex::Real g3 =(amrex::Real(3)/amrex::Real(10.0))
 

Detailed Description

Interpolation operators used for WENO_Z-5 scheme

Constructor & Destructor Documentation

◆ WENO_Z5()

WENO_Z5::WENO_Z5 ( const amrex::Array4< const amrex::Real > &  phi,
const amrex::Real   
)
inline
274  : m_phi(phi) {}
WENO_Z5::m_phi
amrex::Array4< const amrex::Real > m_phi
Definition: ERF_Interpolation_WENO_Z.H:399

Member Function Documentation

◆ Evaluate()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE amrex::Real WENO_Z5::Evaluate ( const amrex::Real &  sm2,
const amrex::Real &  sm1,
const amrex::Real &  s,
const amrex::Real &  sp1,
const amrex::Real &  sp2 
) const
inline
371  {
372  // Smoothing factors
373  amrex::Real b1 = c1 * (sm2 - amrex::Real(2) * sm1 + s) * (sm2 - amrex::Real(2) * sm1 + s) +
374  amrex::Real(0.25) * (sm2 - amrex::Real(4.0) * sm1 + amrex::Real(3) * s) * (sm2 - amrex::Real(4.0) * sm1 + amrex::Real(3) * s);
375  amrex::Real b2 = c1 * (sm1 - amrex::Real(2) * s + sp1) * (sm1 - amrex::Real(2) * s + sp1) +
376  amrex::Real(0.25) * (sm1 - sp1) * (sm1 - sp1);
377  amrex::Real b3 = c1 * (s - amrex::Real(2) * sp1 + sp2) * (s - amrex::Real(2) * sp1 + sp2) +
378  amrex::Real(0.25) * (amrex::Real(3) * s - amrex::Real(4.0) * sp1 + sp2) * (amrex::Real(3) * s - amrex::Real(4.0) * sp1 + sp2);
379 
380  // Weight factors
381  amrex::Real t5 = std::abs(b3 - b1);
382  amrex::Real w1 = g1 * ( amrex::Real(1) + (t5*t5) / ((eps + b1) * (eps + b1)) );
383  amrex::Real w2 = g2 * ( amrex::Real(1) + (t5*t5) / ((eps + b2) * (eps + b2)) );
384  amrex::Real w3 = g3 * ( amrex::Real(1) + (t5*t5) / ((eps + b3) * (eps + b3)) );
385 
386  // Weight factor norm
387  amrex::Real wsum = w1 + w2 + w3;
388 
389  // Taylor expansions
390  amrex::Real v1 = amrex::Real(2) * sm2 - amrex::Real(7.0) * sm1 + amrex::Real(11.0) * s;
391  amrex::Real v2 = -sm1 + amrex::Real(5.0) * s + amrex::Real(2) * sp1;
392  amrex::Real v3 = amrex::Real(2) * s + amrex::Real(5.0) * sp1 - sp2;
393 
394  // Interpolated value
395  return ( (w1 * v1 + w2 * v2 + w3 * v3) / (amrex::Real(6.0) * wsum) );
396  }
Real
amrex::Real Real
Definition: ERF_ShocInterface.H:19
WENO_Z5::g3
static constexpr amrex::Real g3
Definition: ERF_Interpolation_WENO_Z.H:408
WENO_Z5::g1
static constexpr amrex::Real g1
Definition: ERF_Interpolation_WENO_Z.H:406
WENO_Z5::c1
static constexpr amrex::Real c1
Definition: ERF_Interpolation_WENO_Z.H:405
WENO_Z5::eps
const amrex::Real eps
Definition: ERF_Interpolation_WENO_Z.H:403
WENO_Z5::g2
static constexpr amrex::Real g2
Definition: ERF_Interpolation_WENO_Z.H:407

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

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◆ InterpolateInX()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO_Z5::InterpolateInX ( const int &  i,
const int &  j,
const int &  k,
const int &  qty_index,
amrex::Real &  val_lo,
amrex::Real  upw_lo 
) const
inline
285  {
286  // Upwinding flags
287  if (upw_lo != amrex::Real(0)) upw_lo = (upw_lo > 0) ? amrex::Real(1) : -amrex::Real(1);
288 
289  // Data to interpolate on
290  amrex::Real sp2 = m_phi(i+2, j , k , qty_index);
291  amrex::Real sp1 = m_phi(i+1, j , k , qty_index);
292  amrex::Real s = m_phi(i , j , k , qty_index);
293  amrex::Real sm1 = m_phi(i-1, j , k , qty_index);
294  amrex::Real sm2 = m_phi(i-2, j , k , qty_index);
295  amrex::Real sm3 = m_phi(i-3, j , k , qty_index);
296 
297  // Left and right fluxes
298  amrex::Real Fhi = Evaluate(sm3,sm2,sm1,s ,sp1);
299  amrex::Real Flo = Evaluate(sp2,sp1,s ,sm1,sm2);
300 
301  // Numerical flux
302  val_lo = (amrex::Real(1) + upw_lo)/amrex::Real(2) * Fhi + (amrex::Real(1) - upw_lo)/amrex::Real(2) * Flo;
303  }
WENO_Z5::Evaluate
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:366
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◆ InterpolateInY()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO_Z5::InterpolateInY ( const int &  i,
const int &  j,
const int &  k,
const int &  qty_index,
amrex::Real &  val_lo,
amrex::Real  upw_lo 
) const
inline
314  {
315  // Upwinding flags
316  if (upw_lo != amrex::Real(0)) upw_lo = (upw_lo > 0) ? amrex::Real(1) : -amrex::Real(1);
317 
318  // Data to interpolate on
319  amrex::Real sp2 = m_phi(i , j+2, k , qty_index);
320  amrex::Real sp1 = m_phi(i , j+1, k , qty_index);
321  amrex::Real s = m_phi(i , j , k , qty_index);
322  amrex::Real sm1 = m_phi(i , j-1, k , qty_index);
323  amrex::Real sm2 = m_phi(i , j-2, k , qty_index);
324  amrex::Real sm3 = m_phi(i , j-3, k , qty_index);
325 
326  // Left and right fluxes
327  amrex::Real Fhi = Evaluate(sm3,sm2,sm1,s ,sp1);
328  amrex::Real Flo = Evaluate(sp2,sp1,s ,sm1,sm2);
329 
330  // Numerical flux
331  val_lo = (amrex::Real(1) + upw_lo)/amrex::Real(2) * Fhi + (amrex::Real(1) - upw_lo)/amrex::Real(2) * Flo;
332  }
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◆ InterpolateInZ()

AMREX_GPU_DEVICE AMREX_FORCE_INLINE void WENO_Z5::InterpolateInZ ( const int &  i,
const int &  j,
const int &  k,
const int &  qty_index,
amrex::Real &  val_lo,
amrex::Real  upw_lo 
) const
inline
343  {
344  // Upwinding flags
345  if (upw_lo != amrex::Real(0)) upw_lo = (upw_lo > 0) ? amrex::Real(1) : -amrex::Real(1);
346 
347  // Data to interpolate on
348  amrex::Real sp2 = m_phi(i , j , k+2, qty_index);
349  amrex::Real sp1 = m_phi(i , j , k+1, qty_index);
350  amrex::Real s = m_phi(i , j , k , qty_index);
351  amrex::Real sm1 = m_phi(i , j , k-1, qty_index);
352  amrex::Real sm2 = m_phi(i , j , k-2, qty_index);
353  amrex::Real sm3 = m_phi(i , j , k-3, qty_index);
354 
355  // Left and right fluxes
356  amrex::Real Fhi = Evaluate(sm3,sm2,sm1,s ,sp1);
357  amrex::Real Flo = Evaluate(sp2,sp1,s ,sm1,sm2);
358 
359  // Numerical flux
360  val_lo = (amrex::Real(1) + upw_lo)/amrex::Real(2) * Fhi + (amrex::Real(1) - upw_lo)/amrex::Real(2) * Flo;
361  }
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Member Data Documentation

◆ c1

constexpr amrex::Real WENO_Z5::c1 =(amrex::Real(13.0)/amrex::Real(12.0))
staticconstexprprivate

Referenced by Evaluate().

◆ eps

const amrex::Real WENO_Z5::eps =amrex::Real(1.0e-40)
private

Referenced by Evaluate().

◆ g1

constexpr amrex::Real WENO_Z5::g1 =(amrex::Real(1)/amrex::Real(10.0))
staticconstexprprivate

Referenced by Evaluate().

◆ g2

constexpr amrex::Real WENO_Z5::g2 =(amrex::Real(3)/amrex::Real(5.0))
staticconstexprprivate

Referenced by Evaluate().

◆ g3

constexpr amrex::Real WENO_Z5::g3 =(amrex::Real(3)/amrex::Real(10.0))
staticconstexprprivate

Referenced by Evaluate().

◆ m_phi

amrex::Array4<const amrex::Real> WENO_Z5::m_phi
private

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

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