Discretization of continuum physics – a comparison of numerical methods from a physical point of view

Proceedings of the Estonian Academy of Sciences

Heiko Herrmann¹ 

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关键词: continuum physics;    numerical methods;    partial differential equations;    finite elements;    finite volumes;    finite differences;   

DOI  :  10.3176/proc.2008.3.05

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

For numerical calculations in continuum physics partial differential equations and the space-time are discretized. This can be done in different ways. Common approaches are finite difference methods and finite element methods, more rarely finite volume methods are used. Each method has different mathematical properties, which have been discussed in the literature, but they also imply a different physical meaning. This issue is discussed in this article and the connection of finite volume methods to thermodynamics of discrete systems is shown.

【 授权许可】

Unknown