ISSN:
1572-9265
Keywords:
Finite volume methods
;
hyperbolic conservation laws
;
compressible fluid flow
;
method of lines
;
triangulations
;
AMS(MOS)
;
65MO6
;
65M60
;
65M20
;
76M10
;
76M20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract We discuss the design features and mathematical background of an explicit upwind finite-volume method to simulate non-stationary flow of a compressible, inviscid fluid. One of the design goals was the rigorous mathematical justification of each ingredient of the method. The method itself contains elements from finite-difference methods as well as finite-element methods and is formulated in a finite volume framework. The use of well-known algorithmic ingredients in a new framework results in a robust time-accurate scheme. To be able to easily handle complex geometries as well as adaption algorithms a tringale-based formulation was chosen. Numerical tests for two-dimensional flow are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02142743
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