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期刊论文

Runge–Kutta discontinuous Galerkin methodsfor compressible two-medium flow simulations:One-dimensional case

刘铁钢Jianxian Qiu ab* Tiegang Liu c Boo Cheong Khoo bd

Journal of Computational Physics 222(2007)353-373,-0001,():

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摘要/描述

The Runge–Kutta discontinuous Galerkin (RKDG) method for solving hyperbolic conservation laws is a high orderfinite element method, which utilizes the useful features from high resolution finite volume schemes, such as the exactor approximate Riemann solvers, TVD Runge–Kutta time discretizations, and limiters. In this paper, we investigate usingthe RKDG finite element method for compressible two-medium flow simulation with conservative treatment of the movingmaterial interfaces. Numerical results for both gas–gas and gas–water flows in one-dimension are provided to demonstratethe characteristic behavior of this approach.

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