NUMERICAL ADVECTION EXPERIMENTS USING 2ND, 4TH, 6TH AND 8TH ORDER BOTT’S SCHEME
Item
Title (Dublin Core)
eng
NUMERICAL ADVECTION EXPERIMENTS USING 2ND, 4TH, 6TH AND 8TH ORDER BOTT’S SCHEME
Description (Dublin Core)
eng
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.
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.
Creator (Dublin Core)
Mihajlović, Domagoj
Kraljević, Lukša
Subject (Dublin Core)
eng
Numerical advection scheme;Bott;Air pollution modeling
Publisher (Dublin Core)
Croatian meteorological society
Date (Dublin Core)
2008
Type (Dublin Core)
text
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Format (Dublin Core)
application/pdf
Identifier (Dublin Core)
https://hrcak.srce.hr/64330
eng
https://hrcak.srce.hr/file/96458
Source (Dublin Core)
Hrvatski meteorološki časopis
ISSN 1330-0083 (Print)
ISSN 1849-0700 (Online)
Volume 43
Issue 43/2
Language (Dublin Core)
eng
Rights (Dublin Core)
info:eu-repo/semantics/openAccess
The papers of this Journal are free of charge for personal or educational use, with respect of copyright of authors and publisher.