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A method for numerical calculation of viscous flows in bounded domains - MaRDI portal

A method for numerical calculation of viscous flows in bounded domains (Q2760696)

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scientific article; zbMATH DE number 1682237
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A method for numerical calculation of viscous flows in bounded domains
scientific article; zbMATH DE number 1682237

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    13 December 2001
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    splitting algorithm
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    Navier-Stokes equations
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    initial-boundary value problem
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    implicit finite difference scheme
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    bounded domains
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    Poisson equation
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    streamfunction-vorticity formulation
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    boundary condition for vorticity
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    A method for numerical calculation of viscous flows in bounded domains (English)
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    The authors propose a numerical approach to solve in bounded domains initial-boundary value problem for Navier-Stokes equations in streamfunction-vorticity formulation. The method is based on the splitting of operators into physical processes. For solving implicit finite difference equations, the authors employ a separate calculation of the streamfunction and vorticity, and for Poisson equation two boundary conditions \(\psi = \partial\psi/ \partial n = 0\) are used simultaneously. Test calculations are carried out for two boundary conditions for vorticity.
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