A QUASI-2-DIMENSIONAL BENCHMARK PROBLEM FOR LOW MACH NUMBER COMPRESSIBLE CODES

Authors
TOMBOULIDES AG ORSZAG SA
Citation
Ag. Tomboulides et Sa. Orszag, A QUASI-2-DIMENSIONAL BENCHMARK PROBLEM FOR LOW MACH NUMBER COMPRESSIBLE CODES, Journal of computational physics (Print), 146(2), 1998, pp. 691-706
Citations number
22
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics (Print) → ACNP
ISSN journal
00219991
Volume
146
Issue
2
Year of publication
1998
Pages
691 - 706
Database
ISI
SICI code
0021-9991(1998)146:2<691:AQBPFL>2.0.ZU;2-S
Abstract
A quasi-two-dimensional model problem is presented, which can be used as a benchmark problem for verification of numerical methods for the s olution of the low Mach number compressible reactive flow equations. A recently developed high order splitting method for this type of probl em is presented and analyzed, and the behavior of the numerical errors is assessed and compared to asymptotic estimates. It is found that th e behavior of splitting errors is predicted well by the asymptotic est imates and that these errors are always smaller than the formal trunca tion order of the integrating scheme. (C) 1998 Academic Press