Implicit step formulalion for compressible thin layer navier-stokes solution

Saxena, SK and Anamika, HS (1993) Implicit step formulalion for compressible thin layer navier-stokes solution. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    A detailed formulation of implicit step for the solution of13; 2D/axisymmetric compressible thin-layer Navier-Stokes equations is presented .This step is based on backward Euler time inte ration and employs first order accurate upwind scheme with flux-vector splittin due to van Leer13; for discretization of space derivatives of the Euler terms, while the viscous terms are central differenced as usual . This results in a penta-diaonal implicit step operator which is dia onally dominant . Coupled with a second order accurate upwind TVD formulation of the explicit step,which is already available, this implicit operator can be inverted efficiently usin line13; Gauss-Seidel procedure .

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Hyporeonic viscous flows;Unfactored implicit upwind scheme;Thin-layer navier-stokes solution
    Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Computational and Theoretical Fluid Dynamics Division, Computational and Theoretical Fluid Dynamics Division
    Depositing User: Mrs Neetu Chandra
    Date Deposited: 10 Jul 2006
    Last Modified: 24 May 2010 09:43
    URI: http://nal-ir.nal.res.in/id/eprint/1641

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