An Innovative Approach for Numerical Solution of the Unsteady Convection-Dominated Flow Problems

Numerical Methods for Scalar Convection-Dominated Problems

Stability Conditions for the Numerical Solution of Convection-Dominated Problems with Skew-Symmetric Discretizations

This paper presents original and close to optimal stability conditions linking the time step and the space step, stronger than the CFL criterion, δt ≤ Cδxα with α = 2r 2r−1 , r an integer for some numerical schemes we produce when solving convection-dominated problems. We test this condition numerically and prove that it applies to nonlinear equations under smoothness assumptions.

Numerical Solution of an Unsteady Flow Using Artificial Compressibility Method

The work presents an artificial compressibility method applied to incompressible Navier-Stokes equations for steady as well as for unsteady flows. Two modifications of unsteady numerical solution by an implicit finite volume method are considered. First one uses large artificial compressibility parameter and the iterative solution approximates unsteady evolution of flow. The second approach int...

On the numerical solution of convection-dominated problems using hierarchical matrices

The aim of this article is to shows that hierarchical matrices (H-matrices) provide a means to efficiently precondition linear systems arising from the streamline diffusion finite-element method applied to convection-dominated problems. Approximate inverses and approximate LU decompositions can be computed with logarithmic-linear complexity in the standard Hmatrix format. Neither the complexity...

the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach

abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...