WIT Press


A Comparison Of Numerical Methods For Computing The Smooth Solution Of A System With Multiple Time Scales

Price

Free (open access)

Paper DOI

10.2495/ASE950091

Volume

11

Pages

8

Published

1995

Size

713 kb

Author(s)

G.L. Browning

Abstract

Many physical systems allow motions with different time scales, e.g. advective, inertial-gravity and sound waves in the atmo- sphere. In most of these cases, the majority of the energy is in the first class of motions (defined as smooth solutions in the bounded derivative theory) and the interactions between the vari- ous classes of motion are very weak. If advective motions were the only ones present, then an explicit second order method with a time step satisfying the CFL criterion based on the maximum speed of the winds would be sufficiently accurate and efficient for most simulations. However, when multiple waves are present the time step must satisfy the CFL criterion based on the fastest speed in the system. This results in a less efficient com

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