摘要
本文对可压缩流体力学高精度拉格朗日格式及其保正性质近年来的发展给出回顾与综述.文中分别介绍了一维、二维可压缩流体力学方程中心型拉格朗日格式的设计步骤,回顾了高精度拉格朗日格式以及高精度保正拉格朗日格式的研究进展.
This paper gives a survey on the recent development of high order Lagrangian schemes for solving compressible Euler equations and their positivity-preserving property.We introduce the major steps in the design of one and two-dimensional cell-centered Lagrangian schemes and review the research developments of high order Lagrangian schemes and the methodology to achieve the positivity-preserving performance.
作者
成娟
舒其望
Cheng Juan;Shu Chi-Wang(Labomtory of Computaticmal Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;Center for Applied Physics and Technology,Peking University,Beijing 100871,China;Division of Applied Mathematics,Brown University,Providence,RI 02912,USA)
出处
《计算数学》
CSCD
北大核心
2020年第3期260-278,共19页
Mathematica Numerica Sinica
基金
国家自然科学基金(11871111,U1630247)
国防基础科研核基础科学挑战计划(TZ2016002)
中国工程物理研究院创新发展基金资助项目(CX20200026)资助.
关键词
拉格朗日格式
高精度
保正
可压缩
流体力学
Lagrangian schemes
high order
positivity-preserving
compressible
fluid flow
