Original scientific paper

NUMERICAL ADVECTION EXPERIMENTS USING 2ND, 4TH, 6TH AND 8TH ORDER BOTT’S SCHEME

Domagoj Mihajlović ; Meteorological and Hydrological Service of Croatia, Grič 3, 10000 Zagreb
Lukša Kraljević ; Meteorological and Hydrological Service of Croatia, Grič 3, 10000 Zagreb

Abstract

In this work different one and two dimensional numerical advection experiments using second, fourth, sixth and eighth order
Bott scheme were done. The results from one dimensional numerical advection experiments with different initial functions showed that
amplitude and phase errors are smallest for the 8th order Bott scheme. Gibb’s oscillations occur in the numerical advection experiments when there is sharp spatial gradient in the function profile. One possible way to solve this problem is to include explicit horizontal diffusion. Numerical experiments with sinus function showed that numerical diffusion for the same order Bott scheme is greater for the sinus function with smaller wavelength. Modified 4th order Bott scheme produces more numerical diffusion when compared to the 6th or 8th order Bott scheme. Results from two dimensional numerical advection experiments showed that amplitude and phase error is smallest for the 8th order Bott numerical scheme.

Keywords

Numerical advection scheme; Bott; Air pollution modeling

Hrčak ID:

64330

URI

https://hrcak.srce.hr/64330

Publication date:

12.12.2008.

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