Numerical simulation of compressible viscous flow
Journal Title: IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) - Year 2018, Vol 15, Issue 1
Abstract
The purpose of this research is the study and improvement of numerical methods to solve viscous compressible flows. The equations represent these flows are solved in the conservative form with a comparison between conservative variables and new variables called pseudo-primitive variables. The discretization in space is performed by the finite element method and the discretization in time is accomplished by a finite difference method. Among the objectives of this work is the simulation of dominant convective flows, the case where the Reynolds number and the Mach number are high. Knowing that when advection flows dominate diffusion flows, the discretization of advection-diffusion equations by Galerkin's standard finite element method presents nonphysical oscillations, which makes the method unstable. To stabilize the solutions a variant of the finite element method of Petrov-Galerkin is developed. The nonlinear system resulting from the discretization is solved by the iterative algorithm GMRES with a diagonal pre-conditioning. Various simulations, ranging from transonic flows to supersonic flows are treated, for the systematic validation of the methods and techniques developed.
Authors and Affiliations
Nacer E. EL KADRI E.
Keywords
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