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