Symmetries of the gas dynamics equations using the differential form method

被引：5
|
作者：
Ramsey, Scott D. [1 ]
Baty, Roy S. [1 ]
机构：
[1] Los Alamos Natl Lab, Appl Phys Div, POB 1663,MS T082, Los Alamos, NM 87545 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 11期
基金：
美国能源部;
关键词：
EXTERIOR CALCULUS; SYSTEMS; HYDRODYNAMICS; FLOW;
D O I：
10.1063/1.5011723
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A brief review of the theory of exterior differential systems and isovector symmetry analysis methods is presented in the context of the one-dimensional inviscid compressible flow equations. These equations are formulated as an exterior differential system with equation of state (EOS) closure provided in terms of an adiabatic bulk modulus. The scaling symmetry generators-and corresponding EOS constraints-otherwise appearing in the existing literature are recovered through the application and invariance under Lie derivative dragging operations.
引用
收藏
页数：12
相关论文
共 50 条
12345