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Adaptive characteristics-based matching for compressible multifluid dynamics (2005)
| Venue: | J. COMPUT. PHYS |
| Citations: | 14 - 4 self |
BibTeX
@ARTICLE{Nourgaliev05adaptivecharacteristics-based,
author = {R. R. Nourgaliev and T. N. Dinh and T. G. Theofanous},
title = { Adaptive characteristics-based matching for compressible multifluid dynamics},
journal = {J. COMPUT. PHYS},
year = {2005},
pages = {500--529}
}
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Abstract
This paper presents an evolutionary step in sharp capturing of shocked, high Acoustic Impedance Mismatch (AIM) interfaces in an adaptive mesh refinement (AMR) environment. The central theme which guides the present development addresses the need to optimize between the algorithmic com-plexities in advanced front capturing and front tracking methods devel-oped recently for high AIM interfaces with the simplicity requirements imposed by the AMR multi-level dynamic solutions implementation. The paper shows that we have achieved this objective by means of relaxing the strict conservative treatment of AMR prolongation/restriction opera-tors in the interfacial region and by using a Natural-Neighbor-Interpolation (NNI) algorithm to eliminate the need for ghost cell extrapolation into the other fluid in a characteristics-based matching (CBM) scheme. The later is based on a two-fluid Riemann solver, which brings the accuracy and robustness of front-tracking approach into the fast local level set front-capturing implementation of the CBM method. A broad set of test prob-
Keyphrases
compressible multifluid dynamic adaptive characteristics-based matching test prob cbm method adaptive mesh refinement broad set central theme advanced front capturing front-tracking approach amr multi-level dynamic solution implementation strict conservative treatment sharp capturing present development front-capturing implementation evolutionary step amr prolongation restriction opera-tors algorithmic com-plexities high aim interface interfacial region characteristics-based matching fast local level high acoustic impedance mismatch two-fluid riemann solver ghost cell extrapolation simplicity requirement
