双曲型方程组差分格式与熵条件 |
| |
引用本文: | 符鸿源.双曲型方程组差分格式与熵条件[J].计算数学,1985,7(4):385-391. |
| |
作者姓名: | 符鸿源 |
| |
摘 要: | 其中u=u(x,t),f=f(u),φ=φ(x)是M维向量函数。拟线性双曲方程存在击波现象,既使初始值无限光滑,也会出现间断解。(1)与(2)的弱解一般而言是不唯一的,满足熵条件的弱解是有物理意义的广义解。 双曲型方程求数值解时,需要考察所得数值解满足熵条件的问题。Lax和Wendroff曾证明,当网格步长△_t,△_x趋于零时,若守恒型差分格式的解几乎处处有界收敛到函数
|
DIFFERENCE SCHEMES AND ENTROPY CONDITIONS FOR HYPERBOLIC SYSTEMS |
| |
Institution: | Fu Hong-yuan Institute of Applied Physics and Computational Mathematics |
| |
Abstract: | In this paper the problem on difference solutions enforcing the entropy conditionsfor quasi-linear hyperbolic conservative systems is considered. It is prove that,if theartificial viscosity is a positive definite matrix with diagonal entries, then the differencesolutions under certain conditions satisfy entropy conditions. The conolusions containthe Lax, Rusanov schemes and other schemes. |
| |
Keywords: | |
本文献已被 CNKI 等数据库收录! |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
|