Discretization on Non-Orthogonal, Quadrilateral Grids for Inhomogeneous, Anisotropic Media
✍ Scribed by I. Aavatsmark; T. Barkve; Ø Bøe; T. Mannseth
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 373 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
anisotropic problems have been the subject of several recent contributions [1, 5,[7][8][9]. In Ref. [1], continuity condi-Two classes of discretization methods are proposed for controlvolume formulations on quadrilateral grids in two space dimentions at cell interfaces are used to construct two discretizasions. Curvilinear grids are considered as a special case. The methtion methods for non-orthogonal curvilinear grids. One of ods are applicable for any system of conservation laws where the these discretizations is a special case of a larger class of flux is defined by a gradient law, like Darcy's law for porous-media methods published independently in Refs. [7,8]. A similar flow. A strong feature of the methods is the ability to handle media method for elliptic equations presented in Ref.
[5] will lead inhomogeneities in combination with full-tensor anisotropy and/or non-orthogonality of the grid. Further properties of the methods will to time-dependent effective conductivities in the vicinity be discussed and examples of their use will be presented. ᮊ 1996 of a time-dependent source, and an extension to parabolic Academic Press, Inc.
equations does not exist.
Alternative approaches for quadrilateral grids are the application of traditional Galerkin methods [10] and con-* Now with RF-Rogalandsforskning, Thormøhlensgt. 55, N-5008 Bergen, Norway.