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2014/10/17 14:00 Prof. Wen-Yih Sun(Dept. of Earth and Atmospheric Sciences, Purdue University, USA)
Seminar
Poster: ╱ Post date:2014-10-07NCU IHOS Seminar Announcemnet
Speaker:Prof. Wen-Yih Sun
Place:S-325, Science Building 1
Abstract:
Title:Numerical simulation of Rossby wave in shallow water
Speaker:Prof. Wen-Yih Sun
Department of Earth, Atmospheric and Planetary Sciences, Purdue University, USA
Time:10/17(Fri.)14:00
Place:S-325, Science Building 1
Abstract:
The semi-implicit, finite volume scheme developed by Sun [2011] has been applied to simulate Rossby waves in the equatorial ß-plane, discussed by Boyd [1980, 1985]. The scheme is simple, flexible, and more accurate compared with the finite volume, flux-form semi-Lagrangian (TFSL), Lax–Wendroff scheme, and others presented by Chu and Fan [2010]. Compared with the analytic solution, the scheme with the quadratic upstream interpolation for the convective kinetics (QUICK) and smoothing produces less dispersion than that with the 4th-order advection without smoothing, but the amplitude from QUICK is a little less than the latter. It is likely that accuracy can be increased if the mass-conserved semi-Lagrangain scheme [Sun 2007, Sun and Yeh 1997] is applied to the advection terms in this study.
The simulations also show that the effect of mountain does not have significant impact on the pattern of the soliton. The simulations confirm the perturbation theory that predicts solitary waves of large amplitude containing a region of recirculating fluid trapped within the moving disturbance, which can be well simulated with Dx = Dy = 0.2. The general patterns simulated from the zeroth-order and the sum of the zeroth and the first-order solutions as initial conditions remain very similar, although the detail and propagation speed are different.
Last modification time:2014-10-07 PM 2:21