摘要
一阶线性和拟线性双曲型方程的格点模型李元香（武汉大学软件工程国家重点实验室）黄樟灿（武汉工学院）ＬＡＴＴＩＣＥＭＯＤＥＬＳＦＯＲＦＩＲＳＴＯＲＤＥＲＬＩＮＥＡＲＡＮＤＱＵＡＳＩ－ＬＩＮＥＡＲＨＹＰＥＢＯＬＩＣＥＱＵＡＴＩＯＮＳ￥ＬｉＹｕａｎ－ｘｉａｎ...
Abstract Lattice method is a new method of numerical simulation for fluid dynamics which has been developed recently. Its essential idea is the model-rebuilding, that is, a problem of fluid dynamics is directly simulated by a model which is built based on the microscopic description of fluid rather than the partial differential equations from continuum fluid dynamics. In this paper, the lattice method is extended to solving general mathematical physics equations. As examples,two models for first order linear and quasi-linear hyperbolic equations are built. Then several typical numerical examples are investigated using the models and satisfactory results are achieved.
出处
《计算数学》
CSCD
北大核心
1996年第3期313-320,共8页
Mathematica Numerica Sinica
基金
自然科学基金
武汉市晨光计划资助
计算物理实验室开放基金
