摘要
1.引言
近几十年来,涌现了许多求解流体力学Euler方程组的无振荡、高分辨差分格式,例如TVD格式[9],ENO格式[10]等.在一定程度上,这些格式促进了航空航天和造船事业的发展.
In this paper, two numerical methods are developed for solving one-dimensional compressible Euler equations by the RKDG finite element method. The schemes are obtained based on an important relation between the Boltzmann equation and the Euler equations. The schemes have the TVD-like property under the uniform meshes. Several numerical results also present the performance of the schemes.
出处
《计算数学》
CSCD
北大核心
2003年第4期407-422,共16页
Mathematica Numerica Sinica
基金
国家自然科学基金(19931030)
中国工程物理研究院科学基金(20010664)