@Article{AAMM-4-6,
author = {Wai-Sun, Don and de, Gregorio, Antonio and Suarez, Jean-Piero and Jacobs, Gustaaf, B.},
title = {Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {6},
pages = {719--736},
abstract = {<p style="text-align: justify;">A hybridization of a high order WENO-Z finite difference scheme and a high order
central finite difference method for computation of the two-dimensional Euler
equations first presented in [B. Costa and W. S. Don, J. Comput. Appl. Math., 204(2) (2007)]
is extended to three-dimensions and for parallel computation. &nbsp;The Hybrid scheme
switches dynamically from a WENO-Z scheme to a central scheme at any grid location
and time instance if the flow is sufficiently smooth and vice versa if the flow is
exhibiting sharp shock-type phenomena. &nbsp;The smoothness of the flow is determined by
a high order multi-resolution analysis. &nbsp;The method is tested on a benchmark sonic
flow injection in supersonic cross flow. &nbsp;Increase of the order of the method reduces
the numerical dissipation of the underlying schemes, which is shown to improve the
resolution of small dynamic vortical scales. &nbsp;Shocks are captured sharply in an
essentially non-oscillatory manner via the high order shock-capturing WENO-Z scheme.
Computations of the injector flow with a WENO-Z scheme only and with the Hybrid
scheme are in very close agreement. &nbsp;Thirty percent of grid points require a
computationally expensive WENO-Z scheme for high-resolution capturing of shocks,
whereas the remainder of grid points may be solved with the computationally more
affordable central scheme. &nbsp;The computational cost of the Hybrid scheme can be up
to a factor of one and a half lower as compared to computations with a WENO-Z scheme
only for the sonic injector benchmark.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-12S03},
url = {https://global-sci.com/article/73568/assessing-the-performance-of-a-three-dimensional-hybrid-central-weno-finite-difference-scheme-with-computation-of-a-sonic-injector-in-supersonic-cross-flow}
}