Runge-Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow on unstructured meshes
Runge-Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow on unstructured meshes
复制标题
求解非结构网格上可压缩二介质流的龙格-库塔间断伽辽金法和前跟踪法
DOI：
10.4208/aamm.2015.m1070
复制
发表时间：
2017
影响因子：
1.4
通讯作者：
Zhao Ning
中科院分区：
文献类型：
--
作者：
Lu Haitian;Zhu Jun;Wang Chunwu;Zhao Ning
本文将Runge-Kutta间断Galerkin方法与前沿跟踪法相结合，推广到非结构网格上模拟可压缩双介质流动。在材料界面区域的法线方向构造Riemann问题，目的是获得一个紧凑、稳健和有效的程序来精确跟踪显式尖锐界面。给出了大量的数值试验，包括气-气和气-液流动，表明所提出的方法在许多情况下具有提高单一介质流动内部不连续性附近和两种介质流动界面附近的分辨率的能力。
In this paper, we extend using the Runge-Kutta discontinuous Galerkin method together with the front tracking method to simulate the compressible two-medium flow on unstructured meshes. A Riemann problem is constructed in the normal direction in the material interfacial region, with the goal of obtaining a compact, robust and efficient procedure to track the explicit sharp interface precisely. Extensive numerical tests including the gas-gas and gas-liquid flows are provided to show the proposed methodologies possess the capability of enhancing the resolutions nearby the discontinuities inside of the single medium flow and the interfacial vicinities of the two-medium flow in many occasions.