A note on the free convection boundary layer on a vertical surface with prescribed heat flux at small Prandtl number.
A note on variable viscosity and chemical reaction effects on mixed convection heat and mass transfer along a semi-infinite vertical plate.
Analytic solution of a free and forced convection with suction and injection over a non-isothermal wedge.
Combined effect of free and forced convection on MHD flow in a rotating porous channel.
Conjugate heat transfer of mixed convection for viscoelastic fluid past a stretching sheet.
Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition.
Description of the multi-dimensional finite volume solver EULER
This paper is aimed at the description of the multi-dimensional finite volume solver EULER, which has been developed for the numerical solution of the compressible Euler equations during several last years. The present overview of numerical schemes and the explanation of numerical techniques and tricks which have been used for EULER could be of certain interest not only for registered users but also for numerical mathematicians who have decided to implement a finite volume solver themselves. This...
Effects of magnetic field and nonlinear temperature profile on Marangoni convection in micropolar fluid.
Effects of modulation on Rayleigh-Benard convection. I.
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.
Finite amplitude thermal convection with variable gravity.
Finite difference solution of radiation effects on MHD unsteady free-convection flow over vertical plate with variable surface temperature.
Flow of a radiating gas between concentric cylinders
Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources.
Free convection flow of water at past an infinite porous plate with constant suction
Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane.
Hydrodynamic effect on the three-dimensional flow past a vertical porous plate.
Lagrangian and moving mesh methods for the convection diffusion equation
We propose and analyze a semi Lagrangian method for the convection-diffusion equation. Error estimates for both semi and fully discrete finite element approximations are obtained for convection dominated flows. The estimates are posed in terms of the projections constructed in [Chrysafinos and Walkington, SIAM J. Numer. Anal. 43 (2006) 2478–2499; Chrysafinos and Walkington, SIAM J. Numer. Anal. 44 (2006) 349–366] and the dependence of various constants upon the diffusion parameter is ...
Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1. Reference solutions
There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large temperature differences for which the Boussinesq approximation is no longer valid. The paper is split in two parts: in this first part, we propose as yet unpublished reference solutions for cases characterized by a non-dimensional temperature difference of...
Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 2. Contributions to the June 2004 conference
In the second part of the paper, we compare the solutions produced in the framework of the conference “Mathematical and numerical aspects of low Mach number flows” organized by INRIA and MAB in Porquerolles, June 2004, to the reference solutions described in Part 1. We make some recommendations on how to produce good quality solutions, and list a number of pitfalls to be avoided.