Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Derivation of the methods

被引：266

作者：

Aavatsmark, I ^{[1
]}

Barkve, T ^{[1
]}

Boe, O ^{[1
]}

Mannseth, T ^{[1
]}

机构：

[1] Norsk Hydro Res Ctr, N-5020 Bergen, Norway

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1998年 / 19卷 / 05期

关键词：

control-volume discretizations; unstructured grids; anisotropy; inhomogeneity;

D O I：

10.1137/S1064827595293582

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discretization methods are proposed for control-volume formulations on polygonal and triangular grid cells in two space dimensions. The methods are applicable for any system of conservation laws where the flow density is defined by a gradient law, like Darcy's law for porous-media flow. A strong feature of the methods is the ability to handle media inhomogeneities in combination with full-tensor anisotropy. This paper gives a derivation of the methods, and the relation to previously published methods is also discussed. A further discussion of the methods, including numerical examples, is given in the companion paper, Part II [SIAM. Sci. Comput., pp. 1717-1736].

引用

页码：1700 / 1716

页数：17

共 20 条

[1] Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media [J].