Vorticity dynamics and numerical resolution of Navier-Stokes equations (Q2781484)
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scientific article; zbMATH DE number 1721490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vorticity dynamics and numerical resolution of Navier-Stokes equations |
scientific article; zbMATH DE number 1721490 |
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20 March 2002
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Navier-Stokes equations
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vorticity streamfunction
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incompressible viscid Newtonian fluids
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vorticity boundary conditions
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vorticity projection method
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Vorticity dynamics and numerical resolution of Navier-Stokes equations (English)
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We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid Newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two-dimensional case. We provide numerical data for some test cases to which we apply the computational scheme.
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