青岛大学学报（自然科学版）2017，Vol.30Issue(2)：9-14,6.DOI:10.3969/j.issn.1006-1037.2017.05.03
间断有限元方法在重力场下欧拉方程中的应用
Discontinuous Galerkin Methods for Euler Equations under Gravitational Fields
摘要
Abstract
Euler equations under gravitational fields admit isentropic equilibrium state.To obtain the discontinuous Galerkin methods with the help of the isentropic equilibrium state solutions, we first reformulate the governing equations in an equivalent form, and then propose a novel source term approximation as well as well-balanced numerical fiuxes.The present methods maintain the well-balanced property and have the ability to capture small perturbation of such isentropic equilibrium state.关键词
欧拉方程/等熵定常状态/间断有限元方法/well-balanced性质/重力场Key words
Euler equations/Isentropic equilibrium state/Discontinuous Galerkin methods/Well-balanced property/Gravitational fields分类
数理科学引用本文复制引用
刘雨,李刚..间断有限元方法在重力场下欧拉方程中的应用[J].青岛大学学报（自然科学版）,2017,30(2):9-14,6.基金项目
国家自然科学基金青年项目(批准号:11201254)资助. （批准号:11201254）
