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Runge–Kutta discontinuous Galerkin method for Baer–Nunziato model with ‘simple WENO’ limiting of conservative variables
Russian Journal of Numerical Analysis and Mathematical Modelling ( IF 0.6 ) Pub Date : 2021-04-01 , DOI: 10.1515/rnam-2021-0006
Mikhail Alekseev 1 , Evgeny Savenkov 1
Affiliation  

The work is devoted to the application of Runge–Kutta discontinuous Galerkin (RKDG) method for solving Baer–Nunziato hyperbolic model for nonequilibrium two-phase flows. The approach is based on the application of the simple WENO limiter directly to the conservative variables. Mathematical model and the corresponding numerical algorithm are described. The results of numerical simulations for 1D and 2D tests are presented and discussed.

中文翻译:

具有保守变量“简单WENO”限制的Baer-Nunziato模型的Runge-Kutta不连续Galerkin方法

这项工作致力于应用Runge-Kutta间断Galerkin(RKDG)方法求解非平衡两相流的Baer-Nunziato双曲模型。该方法基于将简单的WENO限制器直接应用于保守变量。描述了数学模型和相应的数值算法。提出并讨论了一维和二维测试的数值模拟结果。
更新日期:2021-04-14
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