|
Abstract
|
In this paper, an efficient blending procedure based on the density-based algorithm is presented to solve the compressible Euler equations on a non-orthogonal mesh with collocated finite volume formulation. The fluxes of the convected quantities including mass flow rate are approximated by using the characteristic based TVD and TVD/ACM and Jameson methods. The aim of this research is to study the effecting factors on quality of shock waves capturing. For this purpose, a viscous and supersonic flow in a bump channel had been solved and the results had been compared in terms of accuracy and resolution of capturing shock waves and also the convergence of the solution. Results show that in the density based algorithm, convergence time and quality of the shock waves capturing are increased with refining the grids. In addition, the effect of artificial dissipation coefficients variations on the shock wave capturing is studied, which indicates that the stability of the results is to be affected with reducing in values of these coefficients. It’s also concluded that increment of these coefficients increases the number of iterations, and solution needs extra time for converging to steady state.
|