Graphics research on Smoothed Particle Hydrodynamics (SPH) has produced fantastic visual results that are unique across the board of research communities concerned with SPH simulations. Generally, the SPH formalism serves as a spatial discretization technique, commonly used for the numerical simulation of continuum mechanical problems such as the simulation of fluids, highly viscous materials, and deformable solids. Recent advances in the field have made it possible to efficiently simulate massive scenes with highly complex boundary geometries on a single PC [Com16b, Com16a]. Moreover, novel techniques allow to robustly handle interactions among various materials [Com18,Com17]. As of today, graphics-inspired pressure solvers, neighborhood search algorithms, boundary formulations, and other contributions often serve as core components in commercial software for animation purposes [Nex17] as well as in computer-aided engineering software [FIF16]. This tutorial covers various aspects of SPH simulations. Governing equations for mechanical phenomena and their SPH discretizations are discussed. Concepts and implementations of core components such as neighborhood search algorithms, pressure solvers, and boundary handling techniques are presented. Implementation hints for the realization of SPH solvers for fluids, elastic solids, and rigid bodies are given. The tutorial combines the introduction of theoretical concepts with the presentation of actual implementations.

中文翻译：

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用于流体和固体物理模拟的平滑粒子流体动力学技术

平滑粒子流体动力学 (SPH) 的图形研究产生了出色的视觉效果，这在关注 SPH 模拟的研究社区中是独一无二的。通常，SPH 形式是一种空间离散化技术，常用于连续介质力学问题的数值模拟，如流体、高粘性材料和可变形固体的模拟。该领域的最新进展使得在单台 PC 上高效模拟具有高度复杂边界几何形状的大量场景成为可能 [Com16b, Com16a]。此外，新技术允许稳健地处理各种材料之间的相互作用 [Com18,Com17]。截至今天，受图形启发的压力求解器、邻域搜索算法、边界公式、和其他贡献通常作为用于动画目的的商业软件 [Nex17] 以及计算机辅助工程软件 [FIF16] 的核心组件。本教程涵盖了 SPH 模拟的各个方面。讨论了机械现象的控制方程及其 SPH 离散化。介绍了核心组件的概念和实现，例如邻域搜索算法、压力求解器和边界处理技术。给出了实现流体、弹性固体和刚体的 SPH 求解器的实现提示。本教程结合了理论概念的介绍和实际实现的介绍。讨论了机械现象的控制方程及其 SPH 离散化。介绍了核心组件的概念和实现，例如邻域搜索算法、压力求解器和边界处理技术。给出了实现流体、弹性固体和刚体的 SPH 求解器的实现提示。本教程结合了理论概念的介绍和实际实现的介绍。讨论了机械现象的控制方程及其 SPH 离散化。介绍了核心组件的概念和实现，例如邻域搜索算法、压力求解器和边界处理技术。给出了实现流体、弹性固体和刚体的 SPH 求解器的实现提示。本教程结合了理论概念的介绍和实际实现的介绍。