The Crank–Nicolson finite spectral element method and numerical simulations for 2D non‐stationary Navier–Stokes equations

In this paper, we first build a semi‐discretized Crank–Nicolson (CN) model about time for the two‐dimensional (2D) non‐stationary Navier–Stokes equations about vorticity–stream functions and discuss the existence, stability, and convergence of the time semi‐discretized CN solutions. And then, we bui...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2020-03, Vol.43 (5), p.2276-2288
Hauptverfasser:	Luo, Zhendong, Jiang, Wenrui
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational fluid dynamics Computer simulation Convergence Discretization existence and stability as well as convergence Fluid flow fully discretized finite spectral element Crank–Nicolson model Mathematical models Navier-Stokes equations Quadrilaterals semi‐discretized Crank–Nicolson model Spectral element method Stability Two dimensional models two‐dimensional non‐stationary Navier–Stokes equations about vorticity‐stream functions Vorticity
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