论文标题
本质上是熵晶格Boltzmann模型：理论和模拟
Essentially entropic lattice Boltzmann model: Theory and simulations
论文作者
论文摘要
我们提供了本质上是熵晶格Boltzmann模型的详细说明。熵晶格玻尔兹曼模型通过迭代求解非线性熵进化方程来确保无条件的数值稳定性。在本文中，我们解释了该方程式的封闭形式分析解决方案的构建。我们证明，这种精确的溶液接近平衡可简化为标准的晶格玻尔兹曼模型。我们考虑一些测试用例，以表明精确的解决方案不会与迭代溶液显示出任何明显的偏差。我们还扩展了ES-BGK模型的分析解决方案，以消除对传热问题的PrandTL数字的限制。精确解决方案的简单性消除了与熵晶格Boltzmann模型相关的计算开销和算法复杂性。
We present a detailed description of the essentially entropic lattice Boltzmann model. The entropic lattice Boltzmann model guarantees unconditional numerical stability by iteratively solving the nonlinear entropy evolution equation. In this paper we explain the construction of closed-form analytic solutions to this equation. We demonstrate that near equilibrium this exact solution reduces to the standard lattice Boltzmann model. We consider a few test cases to show that the exact solution does not exhibit any significant deviation from the iterative solution. We also extend the analytical solution for the ES-BGK model to remove the limitation on the Prandtl number for heat transfer problems. The simplicity of the exact solution removes the computational overhead and algorithmic complexity associated with the entropic lattice Boltzmann models.
