Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach
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 categori...
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| Format: | Article |
| Language: | fas |
| Published: |
Marvdasht Branch, Islamic Azad University
2008-12-01
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| Series: | مهندسی منابع آب |
| Online Access: | https://wej.marvdasht.iau.ir/article_1671_b896b59a1ed2f8284c2bc119e932cb0f.pdf |
| _version_ | 1797359746831876096 |
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| author | A M N T |
| author_facet | A M N T |
| author_sort | A M |
| collection | DOAJ |
| description | 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 then 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 solutions as well as the experimental data. |
| first_indexed | 2024-03-08T15:28:09Z |
| format | Article |
| id | doaj.art-25b1a67b4bcc4815aa9b277722327423 |
| institution | Directory Open Access Journal |
| issn | 2008-6377 2423-7191 |
| language | fas |
| last_indexed | 2024-03-08T15:28:09Z |
| publishDate | 2008-12-01 |
| publisher | Marvdasht Branch, Islamic Azad University |
| record_format | Article |
| series | مهندسی منابع آب |
| spelling | doaj.art-25b1a67b4bcc4815aa9b2777223274232024-01-10T07:58:57ZfasMarvdasht Branch, Islamic Azad Universityمهندسی منابع آب2008-63772423-71912008-12-01121101671Modeling of Long Wave Run-up Using the Computational Domain Mapping ApproachA M0N T1دانشجوی کارشناسی ارشد سازه های هیدرولیکیاستاد بخش مهندسی راه و ساختمانFrom 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 then 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 solutions as well as the experimental data.https://wej.marvdasht.iau.ir/article_1671_b896b59a1ed2f8284c2bc119e932cb0f.pdf |
| spellingShingle | A M N T Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach مهندسی منابع آب |
| title | Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach |
| title_full | Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach |
| title_fullStr | Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach |
| title_full_unstemmed | Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach |
| title_short | Modeling of Long Wave Run-up Using the Computational Domain Mapping Approach |
| title_sort | modeling of long wave run up using the computational domain mapping approach |
| url | https://wej.marvdasht.iau.ir/article_1671_b896b59a1ed2f8284c2bc119e932cb0f.pdf |
| work_keys_str_mv | AT am modelingoflongwaverunupusingthecomputationaldomainmappingapproach AT nt modelingoflongwaverunupusingthecomputationaldomainmappingapproach |