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  • advection dominated problem  (1)
  • method of characteristics  (1)
  • 1
    Electronic Resource
    Electronic Resource
    A hybrid nonoverlapping domain decomposition scheme for advection dominated advection–diffusion problems (1998)
    Springer
    Numerical algorithms 18 (1998), S. 321-336 
    Details
    ISSN: 1572-9265
    Keywords: advection dominated problem ; domain decomposition ; 65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Two nonoverlapping domain decomposition algorithms are proposed for convection dominated convection–diffusion problems. In each subdomain, artificial boundary conditions are used on the inflow and outflow boundaries. If the flow is simple, each subdomain problem only needs to be solved once. If there are closed streamlines, an iterative algorithm is needed and the convergence is proved. Analysis and numerical tests reveal that the methods are advantageous when the diffusion parameter ɛ is small. In such cases, the error introduced by the domain decomposition methods is negligible in comparison with the error in the singular layers, and it allows easy and efficient grid refinement in the singular layers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019133818553
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the numerical solution of non-linear reservoir flow models with gravity (1995)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 2017-2032 
    Details
    ISSN: 0029-5981
    Keywords: reservoir flow ; non-linear model ; gravity ; operator-splitting ; method of characteristics ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Based on a two-phase fluid model for immiscible displacement in a porous medium, we develop and analyse numerical solution techniques for certain non-linear phenomena. Two different solution strategies for the treatment of gravity effects, which are non-trivial to model by existing solution techniques and may be of great influence in many practical flow situations, are presented. The solution procedures are based on an operator-splitting technique, combining the modified method of characteristics with finite element techniques and adaptive grid refinement.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620381205
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    Paper (German National Licenses)
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