一种基于HLLC算法的Mie-Grüneisen多介质混合模型

doi:10.19596/j.cnki.1001-246x.7979

计算物理 ›› 2020, Vol. 37 ›› Issue (1): 55-62.DOI: 10.19596/j.cnki.1001-246x.7979

一种基于HLLC算法的Mie-Grüneisen多介质混合模型

吴宗铎¹, 严谨¹, 宗智², 赵勇³

1. 广东海洋大学海洋工程学院, 广东湛江 524088;
2. 大连理工大学船舶工程学院, 辽宁大连 116024;
3. 大连海事大学交通运输工程博士后流动站, 辽宁大连 116026

收稿日期:2018-10-10 修回日期:2018-11-30 出版日期:2020-01-25 发布日期:2020-01-25
通讯作者: 严谨,E-mail:d3219yan@sina.com
作者简介:吴宗铎(1984-),男,博士,讲师,E-mail:wuzongduo0@aliyun.com
基金资助:
国家自然科学基金（11702066，51679021）及广东省自然科学基金（2017A030313275）资助项目

A Multi-component Mie-Grüneisen Mixture Model Based on HLLC Algorithm

WU Zongduo¹, YAN Jin¹, ZONG Zhi², ZHAO Yong³

1. College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, Guangdong 524088, China;
2. Department of Naval Architecture, Dalian University of Technology, Dalian, Liaoning 116024, China;
3. Transportation Engineering Postdoctoral Research Station, Dalian Maritime University, Dalian, Liaoning 116026, China

Received:2018-10-10 Revised:2018-11-30 Online:2020-01-25 Published:2020-01-25

摘要/Abstract

摘要： 建立一种修正的HLLC （Harten-Lax-Van Leer-Contact）格式下稳定的Mie-Grüneisen多介质混合计算模型.Mie-Grüneisen混合模型中的通量包括守恒和非守恒两个部分，原始的HLLC格式对守恒部分适用，但是原始的HLLC格式直接用于非守恒部分，很难控制住数值振荡的产生.在原始格式中，间断面的移动速度为间断网格的左侧或右侧速度，修正后替换为网格中的平均速度，经过修正后，对HLLC格式重新进行推导，并随之扩展到二维问题.数值实验表明，利用修改后的HLLC格式，Mie-Grüneisen混合模型可以取得较好的稳定性和准确性.

关键词: 多介质Riemann问题, HLLC求解器, Mie-Grüneisen方程, 非守恒模型

Abstract: A revised robust HLLC(Harten-Lax-Van Leer-Contact) solver for multi-component Mie-Grüneisen mixture model is established. In Mie-Grüneisen mixture model, flux can be divided into conservative part and non-conservative part. Original HLLC scheme can well adapt to conservative part. As the original HLLC solver is directly extended to non-conservative part, oscillation is hard to be controlled. In original scheme, moving speed of discontinuous section refers to velocity at left or right side of the gird. It is replaced by average velocity within the grid. After the revision, the HLLC scheme is deduced again and extended to 2D problem. Numerical tests show that Mie-Grüneisen mixture model is robust and accurate with the help of modified HLLC solver.

Key words: multicomponent Riemann problem, HLLC solver, Mie-Grüneisen equation, non-conservative model

中图分类号:

吴宗铎, 严谨, 宗智, 赵勇. 一种基于HLLC算法的Mie-Grüneisen多介质混合模型[J]. 计算物理, 2020, 37(1): 55-62.

WU Zongduo, YAN Jin, ZONG Zhi, ZHAO Yong. A Multi-component Mie-Grüneisen Mixture Model Based on HLLC Algorithm[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(1): 55-62.

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一种基于HLLC算法的Mie-Grüneisen多介质混合模型

A Multi-component Mie-Grüneisen Mixture Model Based on HLLC Algorithm

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