A 2-D FINITE VOLUME NAVIER-STOKES SOLVER FOR SUPERSONIC FLOWS

Authors : Adem Gurkan Turk, Bayram Celik

Pages : 1042-1056

Doi:10.18038/aubtda.298656

View : 13 | Download : 8

Publication Date : 2017-12-31

Article Type : Research Paper

Abstract :Two-dimensional compressible Navier-Stokes equations consist of continuity, momentum and energy equations. These coupled equations must be solved simultaneously. A finite volume based in house solver is developed in C++.  The solver is able to solve steady, unsteady, inviscid and viscous compressible flows. It uses Van Leer’s Flux Vector Splitting Scheme. It has local time stepping feature for the acceleration of convergence and can run parallel on computers with shared memory architecture. The solver is designed to adapt alternative schemes for better accuracy and computing efficiency. In order to check the accuracy and code implementation, various supersonic benchmark problems are visited. The problems are steady inviscid double wedge, steady viscous flow over a cylinder, unsteady inviscid Sod’s problem and unsteady inviscid forward facing step flow. The obtained results are compared with those available in literature. The comparisons show that the results are promising.
Keywords : supersonic flows, finite volume method, forward step duct, shock tube, oblique shock