On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems
On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems
We prove longātime stability of linearly extrapolated BDF2 (BDF2LE) timestepping methods, together with finite element spatial discretizations, for incompressible NavierāStokes equations (NSE) and related multiphysics problems. For the NSE, Boussinesq, and magnetohydrodynamics schemes, we prove unconditional long time L 2 stability, provided external forces (and sources) are uniformly bounded in ā¦