IterateSmoothingLengthDensity.cpp

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// -------------------------------------------------------//
//
// SHAMROCK code for hydrodynamics
// Copyright (c) 2021-2026 Timothée David--Cléris <tim.shamrock@proton.me>
// SPDX-License-Identifier: CeCILL Free Software License Agreement v2.1
// Shamrock is licensed under the CeCILL 2.1 License, see LICENSE for more information
//
// -------------------------------------------------------//

 
#include "shambase/stacktrace.hpp"
#include "shambase/string.hpp"
#include "shambackends/kernel_call_distrib.hpp"
#include "shamcomm/logs.hpp"
#include "shammath/sphkernels.hpp"
#include "shammodels/sph/math/density.hpp"
#include "shammodels/sph/modules/IterateSmoothingLengthDensity.hpp"
#include "shamrock/patch/PatchDataField.hpp"
 
using namespace shammodels::sph::modules;
 
template<class Tvec, class SPHKernel>
void IterateSmoothingLengthDensity<Tvec, SPHKernel>::_impl_evaluate_internal() {
    StackEntry stack_loc{};
 
    auto edges = get_edges();
 
    auto &thread_counts = edges.sizes.indexes;
 
    edges.neigh_cache.check_sizes(thread_counts);
    edges.positions.check_sizes(thread_counts);
    edges.old_h.check_sizes(thread_counts);
    edges.new_h.check_sizes(thread_counts);
    edges.eps_h.check_sizes(thread_counts);
 
    auto &neigh_cache = edges.neigh_cache.neigh_cache;
    auto &positions   = edges.positions.get_spans();
    auto &old_h       = edges.old_h.get_spans();
    auto &new_h       = edges.new_h.get_spans();
    auto &eps_h       = edges.eps_h.get_spans();
 
    auto dev_sched = shamsys::instance::get_compute_scheduler_ptr();
 
    static constexpr Tscal Rkern = SPHKernel::Rkern;
 
    sham::distributed_data_kernel_call(
        dev_sched,
        sham::DDMultiRef{neigh_cache, positions, old_h},
        sham::DDMultiRef{new_h, eps_h},
        thread_counts,
        [gpart_mass      = this->gpart_mass,
         h_evol_max      = this->h_evol_max,
         h_evol_iter_max = this->h_evol_iter_max,
         epsilon_h       = this->epsilon_h](
            u32 id_a,
            auto ploop_ptrs,
            const Tvec *__restrict r,
            const Tscal *__restrict h_old,
            Tscal *__restrict h_new,
            Tscal *__restrict eps) {
            // attach the neighbor looper on the cache
            shamrock::tree::ObjectCacheIterator particle_looper(ploop_ptrs);
 
            Tscal part_mass          = gpart_mass;
            Tscal h_max_tot_max_evol = h_evol_max;
            Tscal h_max_evol_p       = h_evol_iter_max;
            Tscal h_max_evol_m       = 1 / h_evol_iter_max;
 
            if (eps[id_a] > epsilon_h) {
 
                Tvec xyz_a = r[id_a]; // could be recovered from lambda
 
                Tscal h_a  = h_new[id_a];
                Tscal dint = h_a * h_a * Rkern * Rkern;
 
                Tscal rho_sum = 0;
                Tscal sumdWdh = 0;
 
                particle_looper.for_each_object(id_a, [&](u32 id_b) {
                    Tvec dr    = xyz_a - r[id_b];
                    Tscal rab2 = sycl::dot(dr, dr);
 
                    if (rab2 > dint) {
                        return; // early return if the particle is too far away
                    }
 
                    Tscal rab = sycl::sqrt(rab2);
 
                    rho_sum += part_mass * SPHKernel::W_3d(rab, h_a);
                    sumdWdh += part_mass * SPHKernel::dhW_3d(rab, h_a);
                });
 
                using namespace shamrock::sph;
 
                Tscal rho_ha = rho_h(part_mass, h_a, SPHKernel::hfactd);
                Tscal new_h  = newton_iterate_new_h(rho_ha, rho_sum, sumdWdh, h_a);
 
                if (new_h < h_a * h_max_evol_m)
                    new_h = h_max_evol_m * h_a;
                if (new_h > h_a * h_max_evol_p)
                    new_h = h_max_evol_p * h_a;
 
                Tscal ha_0 = h_old[id_a];
 
                if (new_h < ha_0 * h_max_tot_max_evol) {
                    h_new[id_a] = new_h;
                    eps[id_a]   = sycl::fabs(new_h - h_a) / ha_0;
                } else {
                    h_new[id_a] = ha_0 * h_max_tot_max_evol;
                    eps[id_a]   = -1;
                }
            }
        });
}
 
template<class Tvec, class SPHKernel>
std::string IterateSmoothingLengthDensity<Tvec, SPHKernel>::_impl_get_tex() const {
    std::string tex = R"tex(
            Iterate smoothing length and density
 
            \begin{align}
            \rho_i &= \sum_{j \in \mathcal{N}_i} m_j W(r_{ij}, h_i) \\
            \frac{\partial \rho_i}{\partial h_i} &= \sum_{j \in \mathcal{N}_i} m_j \frac{\partial W}{\partial h}(r_{ij}, h_i) \\
            h_i^{\rm new} &= h_i - \frac{\rho_i - \rho_h(m_i, h_i)}{\frac{\partial \rho_i}{\partial h_i} + \frac{3\rho_h(m_i, h_i)}{h_i}} \\
            \epsilon_i &= \frac{|h_i^{\rm new} - h_i|}{h_i^{\rm old}}
            \end{align}
 
            where:
            \begin{itemize}
            \item $\mathcal{N}_i$ is the set of neighbors of particle $i$
            \item $W(r, h)$ is the SPH kernel function
            \item $\rho_h(m, h) = m \left(\frac{h_{\rm fact}}{h}\right)^3$ is the target density
            \item $h_{\rm fact} = {hfact}$ is the kernel factor
            \item $R_{\rm kern} = {Rkern}$ is the kernel radius
            \end{itemize}
 
            Input: ${sizes}$, ${neigh_cache}$, ${positions}$, ${old_h}$
            Output: ${new_h}$, ${eps_h}$
        )tex";
 
    replace_edges_tex_symbols(tex);
 
    shambase::replace_all(tex, "{hfact}", sham::format("{}", SPHKernel::hfactd));
    shambase::replace_all(tex, "{Rkern}", sham::format("{}", SPHKernel::Rkern));
 
    return tex;
}
 
template class shammodels::sph::modules::IterateSmoothingLengthDensity<f64_3, shammath::M4<f64>>;
template class shammodels::sph::modules::IterateSmoothingLengthDensity<f64_3, shammath::M6<f64>>;
template class shammodels::sph::modules::IterateSmoothingLengthDensity<f64_3, shammath::M8<f64>>;
 
template class shammodels::sph::modules::IterateSmoothingLengthDensity<f64_3, shammath::C2<f64>>;
template class shammodels::sph::modules::IterateSmoothingLengthDensity<f64_3, shammath::C4<f64>>;
template class shammodels::sph::modules::IterateSmoothingLengthDensity<f64_3, shammath::C6<f64>>;