[02300] Stability of Euler implicit/explicit-SAV schemes for the Navier-Stokes equations
Session Time & Room : 5D (Aug.25, 15:30-17:10) @E703
Type : Contributed Talk
Abstract : In this talk, the $H^2$ stability of two types of the first order Euler implicit/explicit-SAV schemes for the Navier-Stokes equations with finite element discretization is studied with smooth or non-smooth initial data. In the literature, the first order Euler implicit/explicit scheme for the Navier-Stokes for the initial data $u_0$ in $H^{\alpha}$ with $\alpha =1,2$ and the Euler semi-implicit/explicit scheme for the initial data $u_0$ in $H^0$ have been proven to have $H^2-$ almost unconditional stability. In this talk, with the help of scalar auxiliary variable approach, the $H^2$ unconditional stability of two types of the first order Euler implicit/explicit-SAV schemes for the Navier-Stokes equations for the initial data $u_0$ in $H^{\alpha}$ with $\alpha =0, 1,2$ are established, which improve the classical one. Numerical experiments are presented to support the stability results. This is joint work with Teng-Yuan Chang.
