带有 LST-DG 预测器和后验子单元 WENO 有限体积限制的时空自适应 ADER-DG 有限元法,用于模拟非稳态可压缩多组分反应流

I. S Popov
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引用次数: 0

摘要

利用时空自适应 ADER 有限元 DG 方法和有限体积 ADER-WENOlimiter 对子单元求解的后验校正技术,模拟了非稳态可压缩多组分反应流。反应介质的多组分组成及其中发生的反应是通过用一个非稳态对流反应方程组扩展原来的欧拉方程组来描述的。对与 ZND 爆炸波的形成和传播有关的经典问题进行了求解。结果表明,时空自适应 ADER 有限元 DG 方法与有限体积 ADER-WENO 限幅器对子单元求解的后验校正技术可用于模拟流动,而无需使用方向分割和分数步法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows
The space-time adaptive ADER finite element DG method with a posteriori correction technique of solutions on subcells by the finite-volume ADER-WENO limiter was used to simulate non-stationary compressible multicomponent reactive flows. The multicomponent composition of the reacting medium and the reactions occurring in it were described by expanding the original system of Euler equations by a system of non-stationary convection-reaction equations. The use of this method to simulate high stiff problems associated with reactions occurring in a multicomponent medium requires the use of the adaptive change in the time step. The solution of the classical problem related to the formation and propagation of a ZND detonation wave is carried out. It was shown that the space-time adaptive ADER finite element DG method with a posteriori correction technique of solutions on subcells by the finite-volume ADER-WENO limiter can be used to simulate flows without using of splitting in directions and fractional step methods.
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