@article{Veress_Molnár_Rohács_2009, title={Compressible viscous flow solver}, volume={37}, url={https://pp.bme.hu/tr/article/view/1864}, DOI={10.3311/pp.tr.2009-1-2.13}, abstractNote={Nowadays, in spite of disadvantages of turbulence closure models for RANS
(Reynolds Averaged Navier-Stokes equations), they are at present the only
tools available for the computation of complex turbulent flows of practical
relevance. Their popularity comes from high efficiency in terms of accuracy
and computational cost, which makes them widely used in commercial codes and
related multidisciplinary applications. Hence, for modelling compressible
flow, as a framework of complex inverse design optimisation tool,
Navier-Stokes solver is implemented by using k-<I>ω </I> turbulence model in
C++ environment. The governing equations in conservative form are deduced by
using Favre averaging to filter local fluctuations. The code is based on
structured, density based cell centred finite volume method. The convective
terms are discretized by Roe approximated Riemann method. Central
discretization is applied for diffusive terms. MUSCL approach is implemented
for higher order spatial reconstruction with Mulder limiter for monotonicity
preserving. Wilcox k-<I>ω </I> two equations turbulence model is implemented
for turbulence modelling. The explicit system of the equations is solved by
the 4<I><sup>th</sup></I> order Runge-Kutta method. The numerical boundary conditions are
based on the method of characteristics. The interest is mostly in high speed
aeronautical applications with the possibility of extension for surface
optimisation. Hence, the applied validational test cases are in transonic
and supersonic flow regime: circular bump in the transonic channel and
compression corner.
}, number={1-2}, journal={Periodica Polytechnica Transportation Engineering}, author={Veress, Árpád and Molnár, János and Rohács, József}, year={2009}, pages={77–81} }