A multispeed Discrete Boltzmann Model for transcritical 2D shallow water flows
A multispeed Discrete Boltzmann Model for transcritical 2D shallow water flows
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DOI：
10.1016/j.jcp.2014.12.029
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
M. Rocca;A. Montessori;P. Prestininzi;S. Succi
中科院分区：
文献类型：
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作者：
M. Rocca;A. Montessori;P. Prestininzi;S. Succi
在这项工作中，提出并验证了用于解决跨临界二维浅水流的离散玻尔兹曼模型。为了给模型提供跨临界能力，采用了特定的多速速度集来离散玻尔兹曼方程。结果表明，这个特定的集合自然会产生一个简单且封闭的过程，以确定模拟跨临界流所需的高阶平衡分布函数。该模型通过多个经典基准进行了验证，并被证明可以正确、准确地模拟两种流态之间的一维和二维过渡。
In this work a Discrete Boltzmann Model for the solution of transcritical 2D shallow water flows is presented and validated. In order to provide the model with transcritical capabilities, a particular multispeed velocity set has been employed for the discretization of the Boltzmann equation. It is shown that this particular set naturally yields a simple and closed procedure to determine higher order equilibrium distribution functions needed to simulate transcritical flow. The model is validated through several classical benchmarks and is proven to correctly and accurately simulate both 1D and 2D transitions between the two flow regimes.