论文标题
扩散整数晶格气体的过度释放
Over-Relaxation in Diffusive Integer Lattice Gas
论文作者
论文摘要
在晶格玻尔兹曼方法上，标准晶格气体方法最引人注目的吸引力之一是可以实现的运输参数范围要有限得多。晶格玻尔兹曼方法通常使用过度删节来实现水力动力方程中任意较小的传输参数。在这里，我们表明有可能实施整数晶格气体的过度释放。为简单起见，我们在这里集中在扩散方程的晶格气体上。我们证明，在晶格气体中添加翻转操作会导致多余的时间晶格玻尔兹曼方案，并在玻尔兹曼限制中过度释放。
One of the most striking draw-backs of standard lattice gas methods over lattice Boltzmann methods is a much more limited range of transport parameters that can be achieved. It is common for lattice Boltzmann methods to use over-relaxation to achieve arbitrarily small transport parameters in the hydrodynamic equations. Here, we show that it is possible to implement over-relaxation for integer lattice gases. For simplicity we focus here on lattice gases for the diffusion equation. We demonstrate that adding a flipping operation to lattice gases results in a multi-relaxation time lattice Boltzmann scheme with over-relaxation in the Boltzmann limit.
