In this work, we evaluate the performance of the left conjugate direction method (LCD) for the solution of non-symmetric systems of linear equations arising from nite element and nite di erence discretizations of the convection–di usion equation. We extend the LCD algorithm proposed by Dai and Yuan (Int. J. Numer. Meth. Engng 2004; 60:1383–1399) to accommodate restarts. Our discussion considers...

Conjugate natural convection-conduction heat transfer in a square enclosure with a finite wall thickness is studied numerically in the present paper. The governing parameters considered are the Rayleigh number (5 × 10(3) ≤ Ra ≤ 10(6)), the wall-to-fluid thermal conductivity ratio (0.5 ≤ Kr ≤ 10), and the ratio of wall thickness to its height (0.2 ≤ D ≤ 0.4). The staggered grid arrangement toget...

The multigrid preconditioned bi-conjugate gradient stabilized (MGBi-CGSTAB) method is an iterative method for solving sparse nonsymmetric linear equations such as discretized convection-di usion equations. We applied this method to problems with a stretched grid. We have experimentally shown that the MGBiCGSTAB method with additional coarse grid points is e ective for solving these problems. We...

Numerical identification of diffusion parameters in a nonlinear convection–diffusion equation is studied. This partial differential equation arises as the saturation equation in the fractional flow formulation of the two–phase porous media flow equations. The forward problem is discretized with the finite difference method, and the identification problem is formulated as a constrained minimizat...

Many environmental processes can be modelled as transient convection-diffusion-reaction problems. This is the case, for instance, of the operation of activated-carbon filters. For industrial applications there is a growing demand for 3D simulations, so efficient linear solvers are a major concern. We have compared the numerical performance of two families of incomplete Cholesky factorizations a...

A theoretical study is presented in this paper to investigate the conjugate heat transfer across a vertical ®nite wall separating two forced and free convection ̄ows at different temperatures. It is assumed that the heat conduction in the wall is only in the transversal direction. We also assume that countercurrent boundary layers are formed on the both sides of the wall. The governing equation...

Traditional heat transfer fluids frequently encounter several limitations in the process, due to lower thermal conductivity process industries, and also has an impact on performance of industrial sectors. In order overcome problem, researchers have currently considered alternative development fluids. Hence, this study will concentrate problem steady combined convective transport. particular, fl...

Abstract GeoChemFoam is an open-source OpenFOAM-based numerical modelling toolbox that includes a range of custom packages to solve complex flow processes including multiphase transport with interface transfer, single-phase in multiscale porous media, and reactive mineral dissolution. In this paper, we present GeoChemFoam’s novel model for simulation conjugate heat transfer micro-CT images medi...