Numerical Solution of 2-D Diffusion Problems Using Discrete Duality Finite Volume Method on General Boundary Conditions ()
ABSTRACT
In this paper, we present a discrete duality finite volume (DDFV) method for 2-D flow problems in nonhomogeneous anisotropic porous media under diverse boundary conditions. We use the discrete gradient defined in diamond cells to compute the fluxes. We focus on the case of Dirichlet, full Neumann and periodic boundary conditions. Taking into account the periodicity is the main new ingredient with respect to our recent works. We explain the procedures step by step, for numerical solutions. We develop a matlab code for algebraic equations. Numerical tests were provided to confirm our theoretical results.
Share and Cite:
Donfack, H. and Jeutsa, A. (2022) Numerical Solution of 2-D Diffusion Problems Using Discrete Duality Finite Volume Method on General Boundary Conditions.
Journal of Applied Mathematics and Physics,
10, 1968-1997. doi:
10.4236/jamp.2022.106135.
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