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A novel semi-explicit spatially fourth order accurate projection method for unsteady incompressible viscous flows
Published in
2009
Volume: 56
   
Issue: 8
Pages: 665 - 684
Abstract
This article describes a simple and elegant compact higher order finite-difference based numerical solution technique to the primitive variable formulation of unsteady incompressible Navier Stokes equations (UINSE) on staggered grids. The method exploits the advantages of the D'yakanov ADI-like scheme and a non-iterative pressure correction based fractional step method. Spatial derivatives are discretized to fourth order accuracy and the time integration is realized through the Euler explicit method. The fast and efficient iterative solution to the discretized momentum and pressure Poisson equations is achieved using a variant of conjugate gradient method. Spatial accuracy and robustness of the solver are tested through its application to relevant benchmark problems.
About the journal
JournalNumerical Heat Transfer; Part A: Applications
ISSN10407782
Open AccessNo
Concepts (25)
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    Bench-mark problems
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    EXPLICIT METHOD
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    Finite difference
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    Fourth order
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    FRACTIONAL STEP METHODS
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    Higher order
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    Incompressible navier stokes equations
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    ITERATIVE SOLUTIONS
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    Non-iterative
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    Numerical solution
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    Pressure correction
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    Pressure poisson equation
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    PRIMITIVE VARIABLES
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    Projection method
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    SPATIAL ACCURACY
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    SPATIAL DERIVATIVES
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    STAGGERED GRID
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    TIME INTEGRATION
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    UNSTEADY INCOMPRESSIBLE VISCOUS FLOW
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    Benchmarking
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    Difference equations
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    Incompressible flow
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    Navier stokes equations
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    Poisson equation
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    Conjugate gradient method