the dynamics of multicomponent adsorption in a fixed bed adsorber is examined numerically. the dynamic model of adsorption in the packed column included axial dispersion and variable space velocity along the bed for the multicomponent adsorption adsorption the pore fluid and the solid phase are in equilibrium with a nonlinear isotherm. the numerical solution is based upon the modified lax-wendr...

The Landau-Lifshitz Navier-Stokes (LLNS) equations incorporate thermal fluctuations into macroscopic hydrodynamics by using stochastic fluxes. This paper examines explicit Eulerian discretizations of the full LLNS equations. Several computational fluid dynamics approaches are considered (including MacCormack's two-step Lax-Wendroff scheme and the piecewise parabolic method) and are found to giv...

We propose an investigation of the residual distribution schemes for the numerical approximation of two dimensional hyperbolic systems of conservation laws on general quadrilateral meshes. In comparison to the use of triangular cells, usual basic features are recovered, an extension of the Upwinding concept is given, and a Lax-Wendroff like theorem is adapted for consistency. We show how to ret...

In this paper, we implement energy equation coupled with viscous Burgers’ as a mathematical model for the estimation of thermal pollution river water. The is nonlinear system partial differential equations (PDEs) that read an initial and boundary value problem (IBVP). For numerical solution IBVP, investigate explicit second-order Lax- Wendroff type scheme parabolic PDEs. We present solutions gr...

In this paper, we study the stability of a numerical boundary treatment high order compact finite difference methods for parabolic equations. The schemes could achieve very accuracy with relatively small stencils. To match convergence in interior domain, take simplified inverse Lax–Wendroff (SILW) procedure (Tan et al., 2012; Li 2017) as our treatment. third total variation diminishing (TVD) Ru...

Classical and recent numerical schemes for solving hyperbolic conservation laws were analyzed for computational efficiency and application to nonideal gas flows. The Roe-Pike approximate Riemann solver with entropy correction, the Harten second-order scheme and the extension of the Roe-Pike method to secondorder by the MUSCL strategy were compared for one-dimensional flows of an ideal gas. Thes...

In this article, the two-phase water hammer theoretical and numerical simulation are provided. A mathematical formulation is presented to describe transient one-dimensional flow of bubbly gas-liquid mixtures without phase change in an horizontal pipe. The features two-fluid model for simulating flows investigated. governing equations were obtained from mass momentum conservation laws combined w...

This exploratory work tries to present first results of a novel approach for the numerical approximation of solutions of hyperbolic systems of conservation laws. The objective is to define stable and “reasonably” accurate numerical schemes while being free from any upwind process and from any computation of derivatives or mean Jacobian matrices. That means that we only want to perform flux eval...