[COLLOQUIUM] Highly efficient energy stable schemes for dissipative systems with applications to Navier-Stokes equations

时   间：  2023-03-31 14:00 — 15:00

I will present some recent advances on using the generalized scalar auxiliary variable (GSAV) approach to develop highly efficient and accurate  schemes for a large class of complex dissipative systems, including in particular the Navier-Stokes equations. By combining the GSAV approach with a new consistent splitting scheme, we construct, for the very first time, a  unconditionally stable (in H^1 norm) and totally decoupled scheme with uniform  second-order accuracy for the velocity and pressure, and provide a rigorous optimal error estimate. We shall also  present ample numerical results to show the computational advantages of higher-order SAV schemes.