标题： 具有一致流体动力学的浅水方程动能框架 显示英文标题

标题： Kinetic framework with consistent hydrodynamics for shallow water equations

摘要： 我们提出了一种新的离散速度Kinetic框架，以一致地恢复粘性浅水方程。 所提出的模型具有以下基本优势和新颖性：(a)一种新的解释和一般框架来引入力，(b)有可能在平衡态和类似力的贡献之间一致地分割压力贡献，(c)无误差地一致恢复粘性浅水方程的耗散率，(d)对体积粘性独立控制，以及(e)力的一致二阶实现。 正如通过各种不同的测试用例所示，这些特性使得该方法成为求解浅水方程的一种精确且稳定的方法。 显示英文摘要

摘要： We present a novel discrete velocity kinetic framework to consistently recover the viscous shallow water equations. The proposed model has the following fundamental advantages and novelties: (a) A novel interpretation and general framework to introduce forces, (b) the possibility to consistently split pressure contributions between equilibrium and a force-like contribution, (c) consistent recovery of the viscous shallow water equations with no errors in the dissipation rates, (d) independent control over bulk viscosity, and (e) consistent second-order implementation of forces. As shown through a variety of different test cases, these features make for an accurate and stable solution method for the shallow-water equations.