A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions (Q2010243)
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scientific article; zbMATH DE number 7137368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions |
scientific article; zbMATH DE number 7137368 |
Statements
A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions (English)
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27 November 2019
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The computation of numerical solutions of two-dimensional non-stationary Navier-Stokes equations is a difficult problem, especially when the computational domains have an irregular shape. The main task of this paper is the application of a Crank-Nicolson finite spectral element method for the above class of differential equations. The series of numerical experiments confirms a good performance and stability (in comparison with the conventional Crank-Nicolson finite spectral element).
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existence
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stability
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convergence of reduced-order
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extrapolated finite spectral element solutions
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