Abstract
In this work, we study Crank–Nicolson leap-frog (CNLF) methods with fast-slow wave splittings for Navier–Stokes equations (NSE) with a rotation/Coriolis force term, which is a simplification of geophysical flows. We propose a new stabilized CNLF method where the added stabilization completely removes the method's CFL time step condition.
A comprehensive stability and error analysis is given. We also prove that for
Oseen equations with the rotation term, the unstable mode (for which
Funding source: NSF
Award Identifier / Grant number: DMS 1216465
Funding source: AFOSR
Award Identifier / Grant number: FA 9550-12-1-0191
We would like to thank Professor William J. Layton for suggesting the problem and for his continuous support and guidance.
© 2015 by De Gruyter
