A CONSERVATIVE FRACTIONAL STEP METHOD TO SOLVE NONISENTROPIC EULER EQUATIONS

Authors
BUFFARD T HERARD JM
Citation
T. Buffard et Jm. Herard, A CONSERVATIVE FRACTIONAL STEP METHOD TO SOLVE NONISENTROPIC EULER EQUATIONS, Computer methods in applied mechanics and engineering, 144(3-4), 1997, pp. 199-225
Citations number
31
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
144
Issue
3-4
Year of publication
1997
Pages
199 - 225
Database
ISI
SICI code
0045-7825(1997)144:3-4<199:ACFSMT>2.0.ZU;2-E
Abstract
A conservative fractional step method to solve the non-isentropic Eule r set of equations on unstructured meshes is presented herein. The pre sent two-step method, which is based on approximate Riemann solvers, i s compared with Roe's scheme. The actual numerical rate of convergence is examined. The C.F.L.-like conditions which must be fulfilled to ob tain discrete positive values of density and pressure variables are th en discussed. It is also shown that the extension to the multi-compone nt case enables to fulfil the maximum principle for the mass fraction.