关于晶格Boltzmann方案的旋转不变性
On rotational invariance of lattice Boltzmann schemes
AI总结：
本文提出了一种推导等效于线性晶格Boltzmann方案的声学型各向同性偏微分方程的方法，采用新的Taylor展开法，并应用于D2Q9、D2Q13、D3Q19和D3Q27方案，同时讨论了稳定性条件的限制。
摘要：
我们提出了一种推导声学型各向同性偏微分方程的方法，这些方程等价于具有密度标量场和动量向量场作为守恒时刻的线性晶格Boltzmann方案。相应的线性等效偏微分方程通过新的
英文摘要：
We propose the derivation of acoustic-type isotropic partial differential equations that are equivalent to linear lattice Boltzmann schemes with a density scalar field and a momentum vector field as conserved moments. The corresponding linear equivalent partial differential equations are generated with a new "Berliner version" of the Taylor expansion method. The details of the implementation are presented. These ideas are applied for the D2Q9, D2Q13, D3Q19 and D3Q27 lattice Boltzmann schemes. Some limitations associated with necessary stability conditions are also presented.
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