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#pragma once
#include "descriptor.hpp"
namespace kel {
namespace lbm {
template<typename T, typename Descriptor>
saw::data<sch::FixedArray<T, Descriptor::Q>> equilibrium(saw::data<sch::T> rho, saw::data<sch::FixedArray<T,Descriptor::D>> vel){
using dfi = df_info<T, Descriptor>;
saw::data<sch::FixedArray<T,Descriptor::Q>> eq;
saw::data<T> vel_vel{};
for(uint64_t j = 0u; j < Descriptor::D; ++j){
vel_vel = vel_vel + vel.at(j) * vel.at(j);
}
for(uint64_t i = 0u; i < eq.get_dim_size<0u>(); ++i){
saw::data<T> vel_c{};
for(uint64_t j = 0u; j < Descriptor::D; ++j){
vel_c = vel_c + (vel.at(j) * {dfi::directions[i][j]});
}
auto vel_c_cs2 = vel_c * {dfi::inv_cs2};
eq.at(i).set(
dfi::weights[i] * rho.get() *
(
1.0
+ vel_c_cs2
- dfi::inv_cs2 * 0.5 * vel_vel.get()
+ vel_c_cs2 * vel_c_cs2 * 0.5
)
);
return eq;
}
}
}
}
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