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一维多介质可压缩流动的守恒型界面追踪方法

A CONSERVATIVE FRONT-TRACKING METHOD FOR ONE-DIMENSIONAL COMPRESSIBLE MULTI-FLUID FLOW
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摘要 本文针对一维问题的FrontTracking方法,提出了一种较易实现的守恒型界面追踪方法.利用双波近似求解Riemann问题来确定界面处的数值通量,在固定的网格上采用统一的有限体积格式进行内点和交界面点的计算,通过守恒插值以及守恒量的重新分配,保证数值解在全场实现一致守恒.将该方法应用于一维多介质可压缩流动的模拟,给出了满意的数值模拟结果. In this paper, a conservative Front Tracking method is described in one dimension. The numerical flux at interface is based on Riemann problem using two-shock approximation. Finite volume method is used at fixed grid. The fully conservative method is based upon a simple idea:starting from a conservative interpolation ,then redistributing conservative variable. The numerical results are in good agreement for one-dimensional compressible multi-fluid flow.
出处 《计算数学》 CSCD 北大核心 2009年第2期118-126,共9页 Mathematica Numerica Sinica
基金 国家自然科学基金(10576015) 计算物理重点实验室基金项目(2005年)资助项目.
关键词 可压缩多介质流 界面追踪方法 RIEMANN问题 compressible multi-fluid flow, front-tracking method, Riemann problem
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参考文献13

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