Title: Integer Lattice Gas with a sampling collision operator for the fluctuating Navier-Stokes Equation Show Chinese title

Title: 整数点阵气体与用于涨落纳维-斯托克斯方程的采样碰撞算子

Abstract: While lattice Boltzmann methods were originally derived as the Boltzmann limit of a Boolean lattice gas, modern improvements to lattice Boltzmann methods have broken this link. Because of this most lattice Boltzmann methods are not unconditionally stable and extending them to model fluctuations is challenging. In this article we show that the integer lattice gas method developed by Blommel and Wagner has a lattice Boltzmann limit corresponding to entropic lattice Boltzmann methods, while also recovering proper ideal gas equilibrium fluctuations. We also show that it is possible to accelerate these integer lattice gases such that they become computationally competitive with the corresponding lattice Boltzmann method. Show Chinese abstract

Abstract: 尽管格子玻尔兹曼方法最初是从布尔晶格气体的玻尔兹曼极限推导而来的，但现代对格子玻尔兹曼方法的改进已经打破了这种联系。由于这一原因，大多数格子玻尔兹曼方法并不是无条件稳定的，并且将其扩展以模拟涨落具有挑战性。在本文中，我们展示了布洛梅尔和瓦格纳开发的整数晶格气体方法具有与熵驱动格子玻尔兹曼方法相对应的格子玻尔兹曼极限，同时恢复了理想的气体平衡涨落。我们还表明，可以加速这些整数晶格气体，使其在计算上与相应的格子玻尔兹曼方法具有竞争力。