Numerical Solution of Darcy-Brinkman-Forchheimer Equation for Forced-Convective Fluid Flow Through Porous Medium Using DMLPG Method

摘要

Laminar forced-convective heat transfer inside a porous channel is investigated numerically. The Darcy-Brinkman-Forchheimer model is used to describe the single-phase fluid flow in a porous medium. The model and the energy equation are discretized by Direct Meshless Local Petrov-Galerkin (DMLPG) method using pressure-correction scheme on collocated nodes. The algebraic equations was solved directly using Gauss-elimination method. The DMLPG method is truly meshless method based only on number of arbitrarily scattered nodes. The numerical results have been compared with the analytical solutions and obtained numerical data. The comparisons show that the proposed method is highly accurate.