In this paper a simple, robust, and general purpose approach to implement the Incompressible Smoothed Particle Hydrodynamics (ISPH) method is proposed. This approach is well suited for implementation on CPUs and GPUs. The method is matrix-free and uses an iterative formulation to setup and solve the pressure-Poisson equation. A novel approach is used to ensure homogeneous particle distributions and improved boundary conditions. This formulation enables the use of solid wall boundary conditions from the weakly-compressible SPH schemes. The method is fast and runs on GPUs without the need for complex integration with sparse linear solvers. We show that this approach is sufficiently accurate and yet efficient compared to other approaches. Several benchmark problems that illustrate the robustness, performance, and wide range of applicability of the new scheme are demonstrated. An open source implementation is provided and the manuscript is fully reproducible.

中文翻译：

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一种高效、开源、迭代的 ISPH 方案

在本文中，提出了一种简单、稳健且通用的方法来实现不可压缩平滑粒子流体动力学 (ISPH) 方法。这种方法非常适合在 CPU 和 GPU 上实现。该方法是无矩阵的，并使用迭代公式来设置和求解压力泊松方程。一种新颖的方法用于确保均匀的颗粒分布和改进的边界条件。该公式允许使用弱可压缩 SPH 方案中的固体壁边界条件。该方法速度很快，并且可以在 GPU 上运行，无需与稀疏线性求解器进行复杂的集成。我们表明，与其他方法相比，这种方法足够准确且有效。几个基准问题说明了健壮性、性能、并证明了新方案的广泛适用性。提供了一个开源实现，并且手稿是完全可复制的。