晶格玻尔兹曼格式，有限体积和边界条件

arXiv - PHYS - Cellular Automata and Lattice Gases Pub Date : 2023-06-27 DOI:arxiv-2306.15291

François DuboisLMO, LMSSC, Pierre LallemandCSRC

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引用次数: 0

摘要

我们发展了玻尔兹曼格式和有限演化之间的自然联系的想法:在玻尔兹曼格式的碰撞阶段，守恒的质量和动量推导出质量和动量通量的一般表达式。我们处理一维的情况，并把我们在二维的发展集中在可能的通量边界条件。几个测试用例表明，该方案可以达到较高的精度。

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On lattice Boltzmann scheme, finite volumes and boundary conditions

We develop the idea that a natural link between Boltzmann schemes and finite volumes exists naturally: the conserved mass and momentum during the collision phase of the Boltzmann scheme induces general expressions for mass and momentum fluxes. We treat a unidimensional case and focus our development in two dimensions on possible flux boundary conditions. Several test cases show that a high level of accuracy can be achieved with this scheme.

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arXiv - PHYS - Cellular Automata and Lattice Gases

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