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首页> 外文期刊>International Journal of Offshore and Polar Engineering >Comparative Study of a Boltzmann-based Finite Volume and a Lattice Boltzmann Model for Shallow Water Flows in Complex Domains
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Comparative Study of a Boltzmann-based Finite Volume and a Lattice Boltzmann Model for Shallow Water Flows in Complex Domains

机译：基于Boltzmann的有限体积与格子Boltzmann模型在复杂区域中浅水流动的比较研究

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摘要

The Lattice Boltzmann method (LBM) has proved to yield results with accuracy comparable to approaches based on 2D multilayer shallow water equations (MSWE) aimed at simulating gravity currents. The rapid diffusion of the LBM stems from the reduced computational burden required. The handling of complex boundaries is a crucial capability that a numerical method solving the MSWE must exhibit. In this work we show that an approach employing a Finite Volume scheme to solve the Lattice Boltzmann equation (FV-LBE) provides the desired ability for boundary representation at the expense of a reasonable increase in complexity with respect to the LBM approach. In a "time to result" technical framework, the FV-LBE is far superior, this feature being more important for cases where the smallest-to-highest spatial scale ratio to be represented in the simulation decreases.
机译：事实证明，莱迪思Boltzmann方法（LBM）产生的结果的准确性与旨在模拟重力流的基于二维多层浅水方程（MSWE）的方法相当。 LBM的快速扩散源于所需的减少的计算负担。处理复杂边界是解决MSWE的数值方法必须展现的一项关键能力。在这项工作中，我们表明采用有限体积方案求解Lattice Boltzmann方程（FV-LBE）的方法提供了所需的边界表示能力，但相对于LBM方法，其复杂性得到了合理的提高。在“达到结果的时间”技术框架中，FV-LBE优越得多，对于要在仿真中表示的最小到最大空间比例缩小的情况，此功能更为重要。

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