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

Yıl 2017, Cilt: 18 Sayı: 5, 1042 - 1056, 31.12.2017

Adem Gurkan Turk Bayram Celik

Öz

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.

Anahtar Kelimeler

supersonic flows, finite volume method, forward step duct, shock tube, oblique shock

Kaynakça

• Nompelis I, Candler G, Holden M. Computational investigation of hypersonic viscous/inviscid interactions in high enthalpy flows. In: 36th AIAA Thermophysics Conference; 2003. pp. 3642.
• Hu ZM, Myong RS, Wang C, Cho TH, Jiang ZL. Numerical study of the oscillations induced by shock/shock interaction in hypersonic double-wedge flows. Shock Waves 2008; 18(1): 41–51. doi: 10.1007/s00193-008-0138-x
• McDonald, PW. The computation of transonic flow through two-dimensional gas turbine cascades. In: ASME International Gas Turbine Conference and Products Show; 1971; Texas, USA. doi: 10.1115/71-GT-89