论文标题
平滑颗粒流体动力学中的流体和固体的统一描述
Unified description of fluids and solids in Smoothed Particle Hydrodynamics
论文作者
论文摘要
平滑的颗粒流体动力学（SPH）方法在自由边界的域中的流体模拟中是有利的。还开发了特殊的SPH方法来模拟固体。但是，在某些情况下，物质的行为部分作为流体，部分作为固体，例如，3D打印中的固化前端或任何涉及流体和固体相的系统。我们开发了一种类似SPH的方法，该方法同时适合流体和固体。我们将流体动力学的典型离散化，而是将对称双曲线兼容方程（SHTC）离散，这些方程式（SHTC）描述了单个框架中流体，弹性固体和粘性固体和Visco-Elasto塑料固体。然后，在从固体的流体动力和动力学的各种基准上测试所得的SHTC-SPH方法，并与数据显示出显着的一致性。
Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves partly as a fluid and partly as a solid, for instance, the solidification front in 3D printing, or any system involving both fluid and solid phases. We develop an SPH-like method that is suitable for both fluids and solids at the same time. Instead of the typical discretization of hydrodynamics, we discretize the Symmetric Hyperbolic Thermodynamically Compatible equations (SHTC), which describe both fluids, elastic solids, and visco-elasto-plastic solids within a single framework. The resulting SHTC-SPH method is then tested on various benchmarks from the hydrodynamics and dynamics of solids and shows remarkable agreement with the data.
