NUMERICAL SOLUTION OF THE CONSERVATIVE FORM OF THE SHALLOW WATER EQUATIONS USING SIXTH-ORDER SUPER COMPACT SCHEME

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

GHADER SARMAD; ESFAHANIAN V.

Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of the Earth and Space Physics Year:2006 | Volume:32 | Issue:2 Page(s): 31-44

Download Full-Text

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Persian Verion

View:

799

Download:

Cites:

Information Journal Paper

Title

NUMERICAL SOLUTION OF THE CONSERVATIVE FORM OF THE SHALLOW WATER EQUATIONS USING SIXTH-ORDER SUPER COMPACT SCHEME

Author(s)

GHADER SARMAD | ESFAHANIAN V. | Issue Writer Certificate

Keywords

NUMERICAL ACCURACYQ3

SUPER COMPACT FINITE DIFFERENCE METHODQ3

SHALLOW WATER EQUATIONSQ3

ATMOSPHEREQ2

Abstract

The SUPER COMPACT FINITE DIFFERENCE METHOD is used for integrating the conservation-law form of the SHALLOW WATER EQUATIONS in the beta plane. The second-order delta formulation of the trapezoidal time differencing scheme is used. The sixth-order super compact finite-difference method is applied to discretize the spatial factored form of the equations obtained using the ADI method. Because of the large aliasing error introduced by the super compact scheme, the application of a very selective low-pass filter, based on compact schemes, is introduced to overcome the error generated by the interaction of the nonlinear terms of the equations. The integral invariants of the SHALLOW WATER EQUATIONS, i.e., the total energy and potential enstrophy are well conserved during the numerical integration. This fact shows that the nonlinear structure of the equations is correctly modeled. The validation of the sixth-order super compact results are investigated by comparing them with the results of the fourth-order compact and second-order finite-difference schemes for different grid resolutions.

Cites

No record.

References

NUMERICAL SOLUTION OF THE SHALLOW WATER EQUATIONS USING COMPACT SCHEME

Cite

APA: Copy

GHADER, SARMAD, & ESFAHANIAN, V.. (2006). NUMERICAL SOLUTION OF THE CONSERVATIVE FORM OF THE SHALLOW WATER EQUATIONS USING SIXTH-ORDER SUPER COMPACT SCHEME. JOURNAL OF THE EARTH AND SPACE PHYSICS, 32(2), 31-44. SID. https://sid.ir/paper/80352/en

Vancouver: Copy

GHADER SARMAD, ESFAHANIAN V.. NUMERICAL SOLUTION OF THE CONSERVATIVE FORM OF THE SHALLOW WATER EQUATIONS USING SIXTH-ORDER SUPER COMPACT SCHEME. JOURNAL OF THE EARTH AND SPACE PHYSICS[Internet]. 2006;32(2):31-44. Available from: https://sid.ir/paper/80352/en

IEEE: Copy

SARMAD GHADER, and V. ESFAHANIAN, “NUMERICAL SOLUTION OF THE CONSERVATIVE FORM OF THE SHALLOW WATER EQUATIONS USING SIXTH-ORDER SUPER COMPACT SCHEME,” JOURNAL OF THE EARTH AND SPACE PHYSICS, vol. 32, no. 2, pp. 31–44, 2006, [Online]. Available: https://sid.ir/paper/80352/en

Related Journal Papers