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

Year 2017, Volume: 18 Issue: 5, 1042 - 1056, 31.12.2017

Adem Gurkan Turk Bayram Celik

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

References

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