THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES
Many practical problems can be modeled using the one-dimensional shallow water wave equation. Therefore, the solution to the one-dimensional shallow water wave equation will be discussed to solve this problem. The research method used was the study of literature related to the shallow water wave equ...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitas Pattimura
2022-06-01
|
| Series: | Barekeng |
| Subjects: | |
| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/4574 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849237963770167296 |
|---|---|
| author | Iffah Nurlathifah Fikri Sumardi Sumardi |
| author_facet | Iffah Nurlathifah Fikri Sumardi Sumardi |
| author_sort | Iffah Nurlathifah Fikri |
| collection | DOAJ |
| description | Many practical problems can be modeled using the one-dimensional shallow water wave equation. Therefore, the solution to the one-dimensional shallow water wave equation will be discussed to solve this problem. The research method used was the study of literature related to the shallow water wave equation and its solution method. The one-dimensional shallow water wave equation can be derived from the law of conservation of mass and the law of conservation of momentum. In this study, one of the finite difference methods will be discussed, namely the MacCormack method. The MacCormack method consists of two steps, namely the predictor and corrector steps. The MacCormack method was used to perform numerical simulations of the pond and tsunami models for one-dimensional (1D) shallow water wave equations with flat and non-flat topography. The simulation results showed that the channel's topography could affect the water surface's height and velocity. At the same time, a channel with a non-flat topography had a slower water velocity than the water velocity of a channel with a flat topography. |
| format | Article |
| id | doaj-art-c451744dff354fbe915e673fd8d1fed7 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2022-06-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-c451744dff354fbe915e673fd8d1fed72025-08-20T04:01:48ZengUniversitas PattimuraBarekeng1978-72272615-30172022-06-0116272974210.30598/barekengvol16iss2pp729-7424574THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMESIffah Nurlathifah Fikri0Sumardi Sumardi1Mathematics Study Program, Mathematics Department, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Gadjah MadaMathematics Study Program, Mathematics Department, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Gadjah MadaMany practical problems can be modeled using the one-dimensional shallow water wave equation. Therefore, the solution to the one-dimensional shallow water wave equation will be discussed to solve this problem. The research method used was the study of literature related to the shallow water wave equation and its solution method. The one-dimensional shallow water wave equation can be derived from the law of conservation of mass and the law of conservation of momentum. In this study, one of the finite difference methods will be discussed, namely the MacCormack method. The MacCormack method consists of two steps, namely the predictor and corrector steps. The MacCormack method was used to perform numerical simulations of the pond and tsunami models for one-dimensional (1D) shallow water wave equations with flat and non-flat topography. The simulation results showed that the channel's topography could affect the water surface's height and velocity. At the same time, a channel with a non-flat topography had a slower water velocity than the water velocity of a channel with a flat topography.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/4574shallow water wavemaccormack methodtopographypondtsunami |
| spellingShingle | Iffah Nurlathifah Fikri Sumardi Sumardi THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES Barekeng shallow water wave maccormack method topography pond tsunami |
| title | THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES |
| title_full | THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES |
| title_fullStr | THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES |
| title_full_unstemmed | THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES |
| title_short | THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES |
| title_sort | simulation of one dimensional shallow water wave equation with maccormack schemes |
| topic | shallow water wave maccormack method topography pond tsunami |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/4574 |
| work_keys_str_mv | AT iffahnurlathifahfikri thesimulationofonedimensionalshallowwaterwaveequationwithmaccormackschemes AT sumardisumardi thesimulationofonedimensionalshallowwaterwaveequationwithmaccormackschemes AT iffahnurlathifahfikri simulationofonedimensionalshallowwaterwaveequationwithmaccormackschemes AT sumardisumardi simulationofonedimensionalshallowwaterwaveequationwithmaccormackschemes |