USING MESH-FREE NATURAL ELEMENT NUMERICAL METHOD IN SOLVING GOVERNING EQUATIONS OF FREE SURFACE FLOW

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.

ZOUNEMAT MOHAMMAD

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

Journal Paper

Paper Information

Journal: JOURNAL OF HYDRAULICS Year:2015 | Volume:9 | Issue:4 Page(s): 1-14

Download Full-Text

Persian Verion

View:

1,239

Download:

Cites:

Information Journal Paper

Title

USING MESH-FREE NATURAL ELEMENT NUMERICAL METHOD IN SOLVING GOVERNING EQUATIONS OF FREE SURFACE FLOW

Author(s)

ZOUNEMAT MOHAMMAD | Issue Writer Certificate

Keywords

SHALLOW WATER EQUATIONSQ2

MESHQ2

FREE NATURAL ELEMENT METHODQ2

NATURAL NEIGHBORQ2

SIBSON INTERPOLATIONQ2

NODAL INTEGRATIONQ2

VANQ2

LEER SCHEMEQ2

Abstract

The present research indicates the ability of MESH-free natural element numerical method in simulation of free-surface flow and consistency of extended second order method of VAN-Leer scheme on solving natural element method. The natural element method is based on NATURAL NEIGHBOR interpolation. In this study, SIBSON INTERPOLATION has been used. NODAL INTEGRATION has been used due to inappropriateness of Gaussian point’s integration. The present method has been validated by two-dimensional heat transfer problem for the diffusion term validation and by one-dimensional dam break problem for the convective term evaluation. Simulation of free-surface flow has been analyzed on non-uniform bed in the channel with a bump. The results obtained are compared with analytical results. In addition, water flow inside the Parshall flume is simulated and results were compared with experimental interpretations. Results of modeling and analytical solutions via normalized root mean square error (NRMSE) for temperature problems, dam break and free-surface flow show NRMSE of less than 2% while 18% for Parshall flume test. In addition, the determination coefficient of numerical model for the first three tests are higher than 0.99 and 0.90 for the Parshall flume which suggests high capability of numerical model in simulation of free-surface flow.

Cites

No record.

References

No record.

Cite

APA: Copy

ZOUNEMAT, MOHAMMAD. (2015). USING MESH-FREE NATURAL ELEMENT NUMERICAL METHOD IN SOLVING GOVERNING EQUATIONS OF FREE SURFACE FLOW. JOURNAL OF HYDRAULICS, 9(4), 1-14. SID. https://sid.ir/paper/124219/en

Vancouver: Copy

ZOUNEMAT MOHAMMAD. USING MESH-FREE NATURAL ELEMENT NUMERICAL METHOD IN SOLVING GOVERNING EQUATIONS OF FREE SURFACE FLOW. JOURNAL OF HYDRAULICS[Internet]. 2015;9(4):1-14. Available from: https://sid.ir/paper/124219/en

IEEE: Copy

MOHAMMAD ZOUNEMAT, “USING MESH-FREE NATURAL ELEMENT NUMERICAL METHOD IN SOLVING GOVERNING EQUATIONS OF FREE SURFACE FLOW,” JOURNAL OF HYDRAULICS, vol. 9, no. 4, pp. 1–14, 2015, [Online]. Available: https://sid.ir/paper/124219/en

Related Journal Papers