Digitale Medien
Chichester
:
Wiley-Blackwell
International Journal for Numerical Methods in Fluids
23 (1996), S. 241-269
ISSN:
0271-2091
Schlagwort(e):
fully discrete
;
high-order
;
conservative
;
upwind
;
shock-capturing
;
TVD
;
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Maschinenbau
Notizen:
The present paper is a sequel to a previous one by the same authors in which a family of up to fourth-order fully discrete (FD) upwind numerical schemes was presented. In this paper we extend those high-order FD schemes to solutions with discontinuities, e.g. shocks. A rigorous anlaysis of the total variation diminishing (TVD) constraint for the high-order FD schemes is carried out. For non-linear systems the TVD constraint is, as usual, applied empirically. These schemes are validated by solving a test problem for the time-dependent shallow water equations.
Zusätzliches Material:
24 Ill.
Materialart:
Digitale Medien
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