We review the state of the art in modeling of variable-density flow and transport in porous
media, including conceptual models for convection systems, governing balance equations …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

This paper explores the application of the mesh-free Local Radial Basis Function
Collocation Method (LRBFCM) in solution of coupled heat transfer and fluid flow problems in …

Heat transfer continues to be a major field of interest to engineering and scientific
researchers, as well as designers, developers, and manufacturers. The wealth of …

In this paper, three kinds of explicit local meshless methods are compared: the local method
of approximate particular solutions (LMAPS), the local direct radial basis function collocation …

This paper describes the solution of a steady‐state natural convection problem in porous
media by the radial basis function collocation method (RBFCM). This mesh‐free (polygon …

Purpose–The purpose of this paper is to focus on the numerical analysis of transient free
convection heat transfer in partially porous cylindrical domains. The authors analyze the …

In this article, a finite element model is implemented to analyze hydro-thermal convective
flow in a porous medium. The mathematical model encompasses Darcy's law for …

This paper describes the solution of a steady natural convection problem in porous media by
the dual reciprocity boundary element method. The boundary element method for the …

This paper explores an application of a novel mesh-free Local Radial Basis Function
Collocation Method (LRBFCM)[Šarler and Vertnik (2006)] in solution of coupled heat transfer …