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KIAM Preprint № 7, Moscow, 2022
Authors: Zipunova E.V., Perepelkina A.Y.
Development of Explicit and Conservative Schemes for Lattice Boltzmann Equations with Adaptive Streaming
Abstract:
The Lattice Boltzmann Method (LBM) has several limitations for velocity and temperature. One can consider distribution function in moving frame to overcome these limitations as in PonD. In PonD, values of distribution functions are streamed from off-lattice points, so value estimation is needed. It leads to the implicit and non-conservative numerical scheme. Earlier, for the one-dimensional case, the approach of moments prediction was found, which leads to an explicit and conservative numerical scheme. We apply this approach to the two-dimensional and three-dimensional cases in this work. Requirements to interpolation stencil, quadrature, and Hermite polynomial expansion which guarantee moment matching, conservation, and exact calculation, were studied. The resulting schemes were implemented and tested on several tasks.
Keywords:
Lattice-Boltzmann method, regularization, high Mach number, conservation property of numerical schemes
Publication language: russian,  pages: 20
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Zipunova Elizaveta Vyacheslavovna,  orcid.org/0000-0001-7109-1702KIAM RAS
  • Perepelkina Anastasia Yurievna,  orcid.org/0000-0003-2517-6064KIAM RAS