|
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 ACM and Jameson methods. With noticing that the different characteristics have a different diffusion in comparison together, the aim of the present study is to introduce a method based on the characteristic variables (Riemann solution) and control of the diffusion term in the classic methods in order to capture the shock waves. Hereby, an inviscid supersonic flow is solved and results are compared together in view of resolution and accuracy of shock waves capturing, and solution convergence. Results show TVD method have a good quality in shock wave capturing in comparison to the published results of density based method, while have a less accuracy relative to the ACM method.
|