NUMERICAL MODELING OF LONG WAVE RUN-UP USING THE COMPUTATIONAL DOMAIN MAPPING APPROACH

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MAHDAVI A.; TALEBBEYDOKHTI N.

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Paper Information

Journal: JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY Year:2009 | Volume:1 | Issue:3 Page(s): 43-50

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Title

NUMERICAL MODELING OF LONG WAVE RUN-UP USING THE COMPUTATIONAL DOMAIN MAPPING APPROACH

Author(s)

MAHDAVI A. | TALEBBEYDOKHTI N. | Issue Writer Certificate

Keywords

NON-LINEAR SHALLOW WATER EQUATIONSQ3

MOVING BOUNDARYQ3

LAGRANGIAN-EULERIAN TRANSFORMATIONQ3

SOLITARY WAVEQ3

Abstract

From the numerical viewpoint in the simulation of wave run-up, most of the problems arise in the determination of the shoreline position since the shoreline moves up and down the sloping beach during the run-up and run-down processes. In other words, investigation of long wave run-up can be categorized as a MOVING BOUNDARY problem, and consequently, the main question to be answered is how to track this boundary. Therefore, a special treatment is necessary in the numerical model to define the shoreline position. In the present study, by recourse to a LAGRANGIAN-EULERIAN TRANSFORMATION, the time-varying physical domain is converted to a fixed-length time-invariant computational domain. However, this computational mapping introduces additional non-linear terms into the governing equations. By imposing appropriate boundary conditions on the shoreline, the mapped equations are solved using the two-step Richtmyer-Lax-Wenderoff numerical scheme. All of the computations are carried out by employing a program code developed by authors in FORTRAN 90. The simulated surface profiles show very satisfactory agreement with available analytical solution as well as experimental data.

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APA: Copy

MAHDAVI, A., & TALEBBEYDOKHTI, N.. (2009). NUMERICAL MODELING OF LONG WAVE RUN-UP USING THE COMPUTATIONAL DOMAIN MAPPING APPROACH. JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY, 1(3), 43-50. SID. https://sid.ir/paper/199459/en

Vancouver: Copy

MAHDAVI A., TALEBBEYDOKHTI N.. NUMERICAL MODELING OF LONG WAVE RUN-UP USING THE COMPUTATIONAL DOMAIN MAPPING APPROACH. JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY[Internet]. 2009;1(3):43-50. Available from: https://sid.ir/paper/199459/en

IEEE: Copy

A. MAHDAVI, and N. TALEBBEYDOKHTI, “NUMERICAL MODELING OF LONG WAVE RUN-UP USING THE COMPUTATIONAL DOMAIN MAPPING APPROACH,” JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY, vol. 1, no. 3, pp. 43–50, 2009, [Online]. Available: https://sid.ir/paper/199459/en

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