We develop a mixed finite element method for single phase flow in porous media that reduces to cell-centered finite differences on quadrilateral and simplicial grids and performs well for discontinuous full tensor coefficients. Motivated by the multipoint flux approximation method where sub-edge fluxes are introduced, we consider the lowest order Brezzi-Douglas-Marini (BDM) mixed finite element...

Finite volume methods and finite elements methods are generally opposed as competing approximation techniques. However there are ways to look at them which make these methods closer than what is usually thought, and this leads to the construction of generalized finite volume methods. Here we will restrict ourselves to cell-centered finite volumes. On one hand, cell-centered finite volume method...

We present a numerical method for solving Poisson’s equation, with variable coefficients and Dirichlet boundary conditions, on two-dimensional regions. The approach uses a finite-volume discretization, which embeds the domain in a regular Cartesian grid. We treat the solution as a cell-centered quantity, even when those centers are outside the domain. Cells that contain a portion of the domain ...

The Aim of this paper is to investigate numerically the simulation ice melting in one and two dimension using cell-centered finite volume method. mathematical model based on heat conduction equation associated with a fixed grid, latent source approach. fully implicit time scheme selected represent discretization. conductivity chosento be value approximated at interface between adjacent water co...

We present an adaptive, finite volume algorithm to solve the incompressible NavierStokes equations in complex geometries. The algorithm is based on the embedded boundary method in which finite volume approximations are used to discretize the solution in cut cells that result from intersecting the irregular boundary with a structured Cartesian grid. This approach is conservative and reduces to a...

an enhamced scheme is introduced for the solution of two dimensional umsteady euler equations. the finite- volume method of jameson et al. is modified by devicing a pnessune sensor in cell flux calculations. then the discretized gorerning equations ane relaxed in time until na steady state is reached. an appropriate model for the artificial dissipation was also employed. several tests wene cond...

A novel, parallel, high-order, central essentially non-oscillatory (CENO), cell-centered, finite-volume scheme is developed and applied to large-eddy simulation (LES) of turbulent premixed flames. The high-order CENO finite-volume scheme is applied to the solution of the Favre-filtered Navier-Stokes equations governing turbulent flows of a fully-compressible reactive mixture on three-dimensiona...