Analysis of second order and unconditionally stable BDF2‐AB2 method for the Navier‐Stokes equations with nonlinear time relaxation

In this study, we first consider a second order time stepping finite element BDF2‐AB2 method for the Navier‐Stokes equations (NSE). We prove that the method is unconditionally stable and O ( Δ t 2 ) accurate. Second, we consider a nonlinear time relaxation model which consists of adding a term “ κ |...

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Veröffentlicht in:	Numerical methods for partial differential equations 2018-11, Vol.34 (6), p.2060-2078
Hauptverfasser:	Isik, Osman Rasit, Yuksel, Gamze, Demir, Bulent
Format:	Artikel
Sprache:	eng
Schlagworte:	BDF2‐AB2 method Computational fluid dynamics Cylinders Finite element method Fluid flow Navier-Stokes equations Navier‐Stokes equation Nonlinear equations nonlinear time relaxation Relaxation method (mathematics) Time stepping finite elements unconditional stability
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