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多介质流动数值计算中的界面处理方法
引用本文:张学莹,赵宁,王春武.多介质流动数值计算中的界面处理方法[J].高压物理学报,2006,20(3):249-256.
作者姓名:张学莹  赵宁  王春武
作者单位:1. 河海大学理学院,江苏南京,210098
2. 南京航空航天大学航空宇航学院,江苏南京,210016
3. 南京航空航天大学理学院,江苏南京,210016
基金项目:国家自然科学基金(10576015),国防科技重点实验室基金(51479010205HK0207)
摘    要: 求解Riemann问题得到界面接触间断的流动状态,并以此构造带状区域的虚拟流体状态,对于多维问题设计了一种方便有效的算法。同时求解耦合的守恒形式欧拉方程组和非守恒界面捕捉方程,并用Level-Set函数捕捉界面,数值计算采用高分辨率MWENO格式。最后对可压缩多介质流动问题进行了数值模拟。

关 键 词:多介质流体界面  Riemann问题  虚拟流动方法  γ-model方法  MWENO格式
文章编号:1000-5773(2006)03-0249-08
收稿时间:2005-07-06
修稿时间:2005-09-02

Interface Treatment Method for Multi-Component Fluids Numerical Simulation
ZHANG Xue-Ying,ZHAO Ning,WANG Chun-Wu.Interface Treatment Method for Multi-Component Fluids Numerical Simulation[J].Chinese Journal of High Pressure Physics,2006,20(3):249-256.
Authors:ZHANG Xue-Ying  ZHAO Ning  WANG Chun-Wu
Institution:1. College of Science, Hohai University, Nanjing 210098, China; 2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China ; 3. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract:Two interface treatment methods are applied to simulate multi-component flows. A simple and robust algorithm is provided for solving Riemann problem in 2-D. At each node of a narrow strip of the interface, Riemann problems are solved using iterative numerical method. Predicted isobaric values and ghost fluid states are provided. Comparing original GFM, this method is robust and effective. Conservative Euler equations and interface capturing equations are solved respectively. Level-set equation is applied to capture interface. Numerical computations are performed with MWENO scheme and compared with the results by γ-model method, original GFM and modified GFM.
Keywords:multi-component fluid interface  Riemann problem  ghost fluid method  γ-model method γ-model method  MWENO scheme
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