The Trefftz method is understood as an approximate method for solving boundary value
problems in which the approximate solution is a linear combination of trial functions …

In this paper, the space-time generalized finite difference scheme is proposed to effectively
solve the unsteady double-diffusive natural convection problem in the fluid-saturated porous …

The two key parameters of the Brinkman's model for fluid flow in porous media—
permeability and effective viscosity—are determined theoretically. The analytical solution of …

This article explores the problem arising in the filtration process of blood through a
membrane of hemodialyzer. The blood is assumed to behave like a viscous Newtonian fluid …

In this study, a meshless numerical scheme, which is the combination of the generalized
finite difference method, the fictitious-nodes technique, and the two-step Newton-Raphson …

In this paper we use the weighted discontinuous Galerkin finite element method to solve the
dual-porosity-Brinkman coupling model. The dual-porosity model describes fluid flow in a …

Darcy's law describes the flow of Newtonian fluids through bulk porous media as the product
of the applied pressure difference, the fluid's viscosity and the medium's permeability …

To further promote the melting rate of latent thermal storage (LTES) system, the gradient
porosity has been proved to be a feasible method. Entropy, as a long developed …

This paper considers a coupling of slightly compressible Darcy-Brinkman-transport problem
in fractured media with higher Reynolds numbers, involving Brinkman flow in the fractures …

In this paper, a hybrid-dimensional coupled model of compressible fluid flow in fractured
porous media is studied from theoretical and numerical points of view, in which the flow is …