This paper presents a numerical investigation for laminar forced convection flow of a radiating gas in a rectangular duct with a solid element that makes a backward facing step. The fluid is treated as a gray, absorbing, emitting and scattering medium. The governing differential equations consisting the continuity, momentum and energy are solved numerically by the computational fluid dynamics t...

In this paper a combination of discontinuous, piecewise linear, finite elements with implicitexplicit time stepping is considered for convection-reaction equations. Combined with low order quadrature rules, this leads to convenient schemes. We shall consider the effect of such low order quadrature rules on accuracy and stability for one-dimensional problems. 2000 Mathematics Subject Classificat...

We derive truncation error representation for the sixth order combined compact diierence (CCD) scheme for discretizing a one dimensional partial diierential equation. We also show that, for a model one dimensional convection diiusion equation, the CCD scheme produces numerical oscillatory solution, when the cell Reynolds number condition is violated. Numerical experiments are used to demonstrat...

A shallow, vertically shaken granular bed in a quasi 2-D container is studied experimentally yielding a wider variety of phenomena than in any previous study: (1) bouncing bed, (2) undulations, (3) granular Leidenfrost effect, (4) convection rolls, and (5) granular gas. These phenomena and the transitions between them are characterized by dimensionless control parameters and combined in a full ...

We consider the solution of the convection-diffusion equation in two dimensions by a compact highorder 9-point discretization formula combined with multigrid algorithm. We prove the -asymptotic stability of the coarse-grid operators. Two strategies are examined. A method to compute the asymptotic convergence is described and applied to the multigrid algorithm.

[1] Using numerical magnetohydrodynamic simulations, we examine the dipole tilt effects on the magnetosphere‐ionosphere convection system when the interplanetary magnetic field is oblique northward (BY = 4 nT and BZ = 2 nT). In particular, we clarify the relationship between viscous‐driven convection and reconnection‐driven convection. The azimuthal locations of the two viscous cell centers in ...

[1] We present two-dimensional numerical simulations of thermo-compositional convection to test the hypothesis that the combined buoyancy from both thermal and salinity contrasts in Europa’s ice shell can produce the numerous uplifts and pits on Europa’s surface. Our simulations show that uplifts and pits with amplitude of 100–500 m and diameters of 10–30 km (similar to some of the observed fea...

The presence of an air-space within a building envelope is known to have varying contribution the overall thermal performance wall assembly due combined effect convection and ...

The early study of convective heat transfer considered the branches of forced and free convection independently with only passing reference to their possible interaction. In fact the two are extreme cases of the general condition of "mixed" or "combined" forced and free convection where both mechanisms operate simultaneously. The present contribution aims to provide an up-to-date review of thos...