Analysis on general meshes of a discrete duality finite volume method for subsurface flow problems

被引：5
|
作者：
Njifenjou, A. [1 ,2 ]
Donfack, H. [3 ]
Moukouop-Nguena, I. [1 ]
机构：
[1] Univ Yaounde I, Natl Adv Sch Engn, Yaounde, Cameroon
[2] African Inst Comp Sci, Libreville, Gabon
[3] Univ Yaounde I, Fac Sci, Yaounde, Cameroon
来源：
COMPUTATIONAL GEOSCIENCES | 2013年 / 17卷 / 02期
关键词：
Flow problems; Nonhomogeneous anisotropic media; Discrete duality finite volumes; Stability and error estimates; Numerical tests; DIFFUSION OPERATORS; TENSOR COEFFICIENTS; ELLIPTIC PROBLEMS; POROUS-MEDIA; APPROXIMATION; GRIDS; CONVERGENCE; SUPERCONVERGENCE; ELEMENTS; EQUATION;
D O I：
10.1007/s10596-012-9339-6
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This work presents and analyzes, on unstructured grids, a discrete duality finite volume method (DDFV method for short) for 2D-flow problems in nonhomogeneous anisotropic porous media. The derivation of a symmetric discrete problem is established. The existence and uniqueness of a solution to this discrete problem are shown via the positive definiteness of its associated matrix. Properties of this matrix combined with adequate assumptions on data allow to define a discrete energy norm. Stability and error estimate results are proven with respect to this norm. L (2)-error estimates follow from a discrete Poincar, inequality and an L (aaEuro parts per thousand)-error estimate is given for a P (1)-DDFV solution. Numerical tests and comparison with other schemes (especially those from FVCA5 benchmark) are provided.
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页码：391 / 415
页数：25
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