türk, adem gürkan istanbul technical university - faculty of aeronautics and astronautics - astronautical engineering department, İstanbul, Turkey , çelik, bayram istanbul technical university - faculty of aeronautics and astronautics - astronautical engineering department, İstanbul,, Turkey

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

34467

Two-dimensional compressible Navier-Stokes equations consist of continuity, momentum and energy equations. These coupled equations must be solved simultaneously. The values of density, two velocity components, pressure and temperature are obtained by solving the four equations and considering the assumption of calorically perfect gas. A finite volume based in house solver is developed in C++. The solver is able to solve steady or unsteady and inviscid or laminar compressible flow problems on an unstructured mesh. 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.

1042

Supersonic flows , Finite volume method , Forward step duct , Shock tube , Oblique shock

Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering

1056