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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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  • 2
    Electronic Resource
    Electronic Resource
    Computation of 3D vortex flows past a flat plate at incidence through a variational approach of the full steady euler equations (1989)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 9 (1989), S. 305-323 
    Details
    ISSN: 0271-2091
    Keywords: Steady Euler equations ; Variational method ; 3D vortex flows ; Finite element approximation ; Newton linearization ; Least-squares formulation ; Subsonic and supersonic flows ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A variational method for solving directly the full steady Euler equations is presented. This method is based on both Newton's linearization and a least squares formulation. The validity of the Euler model and boundary conditions to capture the vortex sheet is discussed. A finite element approximation of the groups of conservative variables is described and results are given for 3D subsonic flows as well as supersonic flows past a flat plate at high angle of attack.
    Additional Material: 13 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650090306
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    Paper (German National Licenses)
    Fulltext
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