Artificial Compressibility-Based CBS Scheme for the Solution of the Generalized Porous Medium Model

In this work, the authors present an artificial compressibility (AC) version of the characteristic-based split (CBS) algorithm for the numerical solution of flow through a fluid-saturated porous medium. In this study, a fully matrix-inversion-free version of the CBS algorithm is used for the first time to solve the generalized porous medium flow equations for forced-, free-, and mixed-convection problems. The efficiency, the accuracy, and the steady-state convergence of the AC-CBS algorithm are verified through comparison with numerical and analytical solutions available in the literature. The advantages of the proposed AC-CBS scheme include easy parallelization and implementation procedure.