Analysis of a Stabilized CNLF Method with Fast Slow Wave Splittings for Flow Problems
Journal Article
·
· Computational Methods in Applied Mathematics
- Missouri Univ. of Science and Technology, Rolla, MO (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
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 u(n+1) + u(n-1) equivalent to 0) of CNLF is asymptotically stable. Numerical results are provided to verify the stability and the convergence of the methods.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1335320
- Journal Information:
- Computational Methods in Applied Mathematics, Journal Name: Computational Methods in Applied Mathematics Journal Issue: 3 Vol. 15; ISSN 1609-4840
- Publisher:
- de GruyterCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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