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    Numerical Solutions of Cauchy-Riemann Equations for Two and Three-Dimensional Flows 

    Source: Journal of Applied Mechanics:;2003:;volume( 070 ):;issue: 001:;page 27
    Author(s): M. Hafez; J. Housman
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: For two-dimensional flows, the conservation of mass and the definition of vorticity comprise a generalized Cauchy-Riemann system for the velocity components assuming the vorticity is given. If ...
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    Time-Derivative Preconditioning Methods for Multicomponent Flows—Part II: Two-Dimensional Applications 

    Source: Journal of Applied Mechanics:;2009:;volume( 076 ):;issue: 003:;page 31013
    Author(s): Jeffrey A. Housman; Cetin C. Kiris; Mohamed M. Hafez
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A time-derivative preconditioned system of equations suitable for the numerical simulation of multicomponent/multiphase inviscid flows at all speeds was described in Part I of this paper. The ...
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    Time-Derivative Preconditioning Methods for Multicomponent Flows—Part I: Riemann Problems 

    Source: Journal of Applied Mechanics:;2009:;volume( 076 ):;issue: 002:;page 21210
    Author(s): Jeffrey A. Housman; Cetin C. Kiris; Mohamed M. Hafez
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A time-derivative preconditioned system of equations suitable for the numerical simulation of inviscid multicomponent and multiphase flows at all speeds is described. The system is shown to be ...
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