On semi-implicit schemes for the incompressible Euler equations via the
vanishing viscosity limit
On semi-implicit schemes for the incompressible Euler equations via the
vanishing viscosity limit
A new type of systematic approach to study the incompressible Euler equations numerically via the vanishing viscosity limit is proposed in this work. We show the new strategy is unconditionally stable that the $L^2$-energy dissipates and $H^s$-norm is uniformly bounded in time without any restriction on the time step. Moreover, …