双曲守恒律的有限体积法学习讨论，请进

laofang

[这个贴子最后由laofang在 2005/08/14 10:41am 第 1 次编辑]

最近在看剑桥出的《finite volume methods for hyberbolic problems》这本书，忘了是那个作者了。感觉有些心得，也有不少问题？在这里提出，希望大家一起讨论？
首先问一个弱弱的问题：
“守恒”到底是一个怎样的概念？

laofang

在没有源项情况下，仅是把通量写成一个整体而以吗？

xxp046016007

你那本书有电子版吗，能不能给我一份！谢谢！

laofang

这个不是电子版的，从图书馆借的了。呵呵，抱歉

didu

Conservation in this context is the partial differential equation forms which are written in terms of the conservative varaibles, like mass, momentums and total energy, but not in density, velocity and temperature ...
Conservation form is the basic idea of finite volume. You can get detailed explanation in Anderson';s books, "gasdynamics" or "CFD" or "aerodynamics" ...

laofang

Thank didu for your advice.

didu

The author, Prof. LeVeque has a website for his book. You can get some matlab programs from there.
University of Washington, math

abcc

这本书我有。但是还没有仔细拜读。
另外，作者R. J. LeVeque将在2006马德里世界数学家大会做45分钟报告。