@Article{AAMM-2-4,
author = {Feo, Demian, De and Qin, Ning and Trevor, J., Birch},
title = {Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {4},
pages = {399--429},
abstract = {<p style="text-align: justify;">High order approximations of the vortical flow field and resulting aerodynamic coefficients
of complex supersonic vortical flows, are computed using the Implicit Parabolized Navier-Stokes
solver (IMPNS). Third and fifth order Weighted Essentially Non-oscillating (WENO) schemes for
evenly spaced and for stretched structured meshes are employed for the approximate Riemann
solution of the inviscid cross flow fluxes. An approximate Riemann solution is obtained using
the Osher and Solomon solver and the one-equation Spalart-Allmaras turbulence model is modified
for an improved strain-vorticity approximation. Results indicate that even on much coarser meshes
the 5$^\text{th}$ order PNS-WENO-Spalart-Allmaras approach may achieve results that are superior
to previously published full Navier-Stokes solutions that employ a two-equation RANS model but the
additional computational demand of schemes for non-uniform grids, may not be justifiable for smoothly
varying meshes. The proposed PNS-WENO scheme combination provides a novel approach that is fast,
accurate and robust, and that can substantially reduce numerical dissipation and improve the
resolution of the vortical structures.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m0917},
url = {https://global-sci.com/article/73645/vortex-capturing-using-pns-weno-schemes-in-uniform-and-non-uniform-mesh-formulations}
}