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  • 1
    Electronic Resource
    Electronic Resource
    A penalization method to take into account obstacles in incompressible viscous flows (1999)
    Springer
    Numerische Mathematik 81 (1999), S. 497-520 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991):76D99; 76S05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. From the Navier-Stokes/Brinkman model, a penalization method has been derived by several authors to compute incompressible Navier-Stokes equations around obstacles. In this paper, convergence theorems and error estimates are derived for two kinds of penalization. The first one corresponds to $L^2$ penalization inducing a Darcy equation in the solid body, the second one corresponds to a $H^1$ penalization and induces a Brinkman equation in the body. Numerical tests are performed to confirm the efficiency and accuracy of the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002110050401
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