ElasticCollisionPerez.H

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/* Copyright 2019 Yinjian Zhao
 *
 * This file is part of WarpX.
 *
 * License: BSD-3-Clause-LBNL
 */
#ifndef WARPX_PARTICLES_COLLISION_ELASTIC_COLLISION_PEREZ_H_
#define WARPX_PARTICLES_COLLISION_ELASTIC_COLLISION_PEREZ_H_
 
#include "UpdateMomentumPerezElastic.H"
#include "Particles/WarpXParticleContainer.H"
#include "Utils/WarpXConst.H"
 
#include <AMReX_Random.H>
 

 
template <typename T_index, typename T_PR, typename T_R, typename SoaData_type>
AMREX_GPU_HOST_DEVICE AMREX_INLINE
void ElasticCollisionPerez (
    T_index const I1s, T_index const I1e,
    T_index const I2s, T_index const I2e,
    T_index const* AMREX_RESTRICT I1,
    T_index const* AMREX_RESTRICT I2,
    SoaData_type soa_1, SoaData_type soa_2,
    T_PR const  n1, T_PR const  n2,
    T_PR const  T1, T_PR const  T2,
    T_PR const  q1, T_PR const  q2,
    T_PR const  m1, T_PR const  m2,
    T_R const  dt, T_R const global_lamdb, T_PR const  L, T_R const  dV,
    amrex::RandomEngine const& engine,
    bool const isSameSpecies, T_index coll_idx)
{
    const T_index NI1 = I1e - I1s;
    const T_index NI2 = I2e - I2s;
    const T_index max_N = amrex::max(NI1,NI2);
    const T_index min_N = amrex::min(NI1,NI2);
 
    T_PR * const AMREX_RESTRICT w1 = soa_1.m_rdata[PIdx::w];
    T_PR * const AMREX_RESTRICT u1x = soa_1.m_rdata[PIdx::ux];
    T_PR * const AMREX_RESTRICT u1y = soa_1.m_rdata[PIdx::uy];
    T_PR * const AMREX_RESTRICT u1z = soa_1.m_rdata[PIdx::uz];
 
    T_PR * const AMREX_RESTRICT w2 = soa_2.m_rdata[PIdx::w];
    T_PR * const AMREX_RESTRICT u2x = soa_2.m_rdata[PIdx::ux];
    T_PR * const AMREX_RESTRICT u2y = soa_2.m_rdata[PIdx::uy];
    T_PR * const AMREX_RESTRICT u2z = soa_2.m_rdata[PIdx::uz];
 
    // compute Debye length lmdD (if not using a fixed L = Coulomb log)
    T_PR lmdD = T_PR(-1.0);
    if ( L <= T_PR(0.0) ) {
        if (global_lamdb <= T_PR(0.0)) {
            lmdD = T_PR(1.0)/std::sqrt( n1*q1*q1/(T1*PhysConst::ep0) +
                                        n2*q2*q2/(T2*PhysConst::ep0) );
        } else {
            lmdD = global_lamdb;
        }
    }
 
    // compute atomic spacing
    const T_PR maxn = amrex::max(n1,n2);
    const auto rmin = static_cast<T_PR>( 1.0/std::cbrt(4.0*MathConst::pi/3.0*maxn) );
 
    // bmax (screening length) cannot be smaller than atomic spacing
    const T_PR bmax = amrex::max(lmdD, rmin);
 
    // set max cross section based on mfp = atomic spacing
    const T_PR sigma_max = T_PR(1.0) / (maxn * rmin);
 
#if (defined WARPX_DIM_RZ)
    T_PR * const AMREX_RESTRICT theta1 = soa_1.m_rdata[PIdx::theta];
    T_PR * const AMREX_RESTRICT theta2 = soa_2.m_rdata[PIdx::theta];
#endif
 
    // call UpdateMomentumPerezElastic()
    {
      T_index i1 = I1s + coll_idx;
      T_index i2 = I2s + coll_idx;
 
      // we will start from collision number = coll_idx and then add
      // stride (smaller set size) until we do all collisions (larger set size)
      for (T_index k = coll_idx; k < max_N; k += min_N)
      {
#if (defined WARPX_DIM_RZ)
          /* In RZ geometry, macroparticles can collide with other macroparticles
           * in the same *cylindrical* cell. For this reason, collisions between macroparticles
           * are actually not local in space. In this case, the underlying assumption is that
           * particles within the same cylindrical cell represent a cylindrically-symmetry
           * momentum distribution function. Therefore, here, we temporarily rotate the
           * momentum of one of the macroparticles in agreement with this cylindrical symmetry.
           * (This is technically only valid if we use only the m=0 azimuthal mode in the simulation;
           * there is a corresponding assert statement at initialization.) */
          T_PR const theta = theta2[I2[i2]]-theta1[I1[i1]];
          T_PR const u1xbuf = u1x[I1[i1]];
          u1x[I1[i1]] = u1xbuf*std::cos(theta) - u1y[I1[i1]]*std::sin(theta);
          u1y[I1[i1]] = u1xbuf*std::sin(theta) + u1y[I1[i1]]*std::cos(theta);
#endif
 
          // Compute the effective density n12 used to compute the normalized
          // transport mean free path (s12) in UpdateMomentumPerezElastic().
          // s12 is defined such that the expected value of the change in particle
          // velocity is equal to that from the full NxN pairing method for each particle, as described in
          // Justin Ray Angus, Yichen Fu, Vasily Geyko, Dave Grote, David Larson, JCP 531, 113927 (2025).
          // This method is a direct extension of the original binary-pairing method for equally weighted
          // particles by Takizuka and Abe JCP 25 (1977).
          T_PR n12;
          const T_PR wpmax = amrex::max(w1[ I1[i1] ],w2[ I2[i2] ]);
          if (isSameSpecies) { n12 = wpmax*static_cast<T_PR>(min_N+max_N-1)/dV; }
          else { n12 = wpmax*static_cast<T_PR>(min_N)/dV; }
 
          UpdateMomentumPerezElastic(
              u1x[ I1[i1] ], u1y[ I1[i1] ], u1z[ I1[i1] ],
              u2x[ I2[i2] ], u2y[ I2[i2] ], u2z[ I2[i2] ],
              q1, m1, w1[ I1[i1] ], q2, m2, w2[ I2[i2] ],
              n12, sigma_max, L, bmax, dt, engine );
 
#if (defined WARPX_DIM_RZ)
          T_PR const u1xbuf_new = u1x[I1[i1]];
          u1x[I1[i1]] = u1xbuf_new*std::cos(-theta) - u1y[I1[i1]]*std::sin(-theta);
          u1y[I1[i1]] = u1xbuf_new*std::sin(-theta) + u1y[I1[i1]]*std::cos(-theta);
#endif
 
          if (max_N == NI1) {
            i1 += min_N;
          }
          if (max_N == NI2) {
            i2 += min_N;
          }
      }
    }
 
}
 
#endif // WARPX_PARTICLES_COLLISION_ELASTIC_COLLISION_PEREZ_H_