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Volume 15, Issue 4
A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions

Zhenzhen Li, Xijun Yu, Jiang Zhu & Zupeng Jia

DOI: 10.4208/cicp.210313.181213s

Commun. Comput. Phys., 15 (2014), pp. 1184-1206.

Published online: 2014-04

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  • Abstract

This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics. In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin (RKDG) method, and the mesh moves with the fluid flow. The scheme is conservative for the mass, momentum and total energy and maintains second-order accuracy. The scheme avoids solving the geometrical part and has free parameters. Results of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.

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@Article{CiCP-15-1184, author = {Zhenzhen Li, Xijun Yu, Jiang Zhu and Zupeng Jia}, title = {A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions}, journal = {Communications in Computational Physics}, year = {2014}, volume = {15}, number = {4}, pages = {1184--1206}, abstract = {

This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics. In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin (RKDG) method, and the mesh moves with the fluid flow. The scheme is conservative for the mass, momentum and total energy and maintains second-order accuracy. The scheme avoids solving the geometrical part and has free parameters. Results of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.210313.181213s}, url = {http://global-sci.org/intro/article_detail/cicp/7134.html} }
TY - JOUR T1 - A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions AU - Zhenzhen Li, Xijun Yu, Jiang Zhu & Zupeng Jia JO - Communications in Computational Physics VL - 4 SP - 1184 EP - 1206 PY - 2014 DA - 2014/04 SN - 15 DO - http://doi.org/10.4208/cicp.210313.181213s UR - https://global-sci.org/intro/article_detail/cicp/7134.html KW - AB -

This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics. In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin (RKDG) method, and the mesh moves with the fluid flow. The scheme is conservative for the mass, momentum and total energy and maintains second-order accuracy. The scheme avoids solving the geometrical part and has free parameters. Results of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.

Zhenzhen Li, Xijun Yu, Jiang Zhu and Zupeng Jia. (2014). A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions. Communications in Computational Physics. 15 (4). 1184-1206. doi:10.4208/cicp.210313.181213s
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