Author(s)

Hubert Donfack¹, Aubin Kinfack Jeutsa²

¹Faculty of Science, The University of Bamenda, Bamenda, Cameroon.
²Higher Technical Teachers’ Training College, The University of Buea, Kumba, Cameroon.

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.

Flow Problems, Nonhomogeneous Anisotropic Media, Finite Volumes, Test Simulations

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.