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  • Articles: DFG German National Licenses  (1)
  • Mathematics Subject Classification (1991): 65M60, 76M20, 76K05  (1)
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  • Articles: DFG German National Licenses  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    On positivity preserving finite volume schemes for Euler equations (1996)
    Springer
    Numerische Mathematik 73 (1996), S. 119-130 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 65M60, 76M20, 76K05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. We consider the positivity preserving property of first and higher order finite volume schemes for one and two dimensional Euler equations of gas dynamics. A general framework is established which shows the positivity of density and pressure whenever the underlying one dimensional first order building block based on an exact or approximate Riemann solver and the reconstruction are both positivity preserving. Appropriate limitation to achieve a high order positivity preserving reconstruction is described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050187
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