Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle
In this paper, we propose four different numerical methods for solving the Non-Linear Shallow Water Equations (NSWE), which are used to study dam-break flow over an obstacle. The discrete equations are formulated by applying various finite difference methods with filter involving wet-dry procedure....
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-06-01
|
| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123022000524 |
| _version_ | 1818228329241640960 |
|---|---|
| author | I. Magdalena Muhamad Fikri Eka Pebriansyah |
| author_facet | I. Magdalena Muhamad Fikri Eka Pebriansyah |
| author_sort | I. Magdalena |
| collection | DOAJ |
| description | In this paper, we propose four different numerical methods for solving the Non-Linear Shallow Water Equations (NSWE), which are used to study dam-break flow over an obstacle. The discrete equations are formulated by applying various finite difference methods with filter involving wet-dry procedure. To validate our numerical model, several benchmark tests are carried out. Comparison of the computed results with the analytical and experiment data shows that our numerical model reproduces the flow with high accuracy. Moreover, we examine the effect of the shape and dimensions of the obstacle on downstream water height. Rectangular obstacles reduce downstream water height more significantly than triangular and trapezoidal ones. Downstream water height decreases non-linearly as obstacle height and width are increased. |
| first_indexed | 2024-12-12T10:00:58Z |
| format | Article |
| id | doaj.art-05e2e268dfaf42fd93ad389251e5963d |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-12-12T10:00:58Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-05e2e268dfaf42fd93ad389251e5963d2022-12-22T00:27:59ZengElsevierResults in Engineering2590-12302022-06-0114100382Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacleI. Magdalena0Muhamad Fikri Eka Pebriansyah1Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, West Java, Indonesia; Center for Coastal and Marine Development, Bandung Institute of Technology, West Java, Indonesia; Corresponding author. Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, West Java, Indonesia.Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, West Java, IndonesiaIn this paper, we propose four different numerical methods for solving the Non-Linear Shallow Water Equations (NSWE), which are used to study dam-break flow over an obstacle. The discrete equations are formulated by applying various finite difference methods with filter involving wet-dry procedure. To validate our numerical model, several benchmark tests are carried out. Comparison of the computed results with the analytical and experiment data shows that our numerical model reproduces the flow with high accuracy. Moreover, we examine the effect of the shape and dimensions of the obstacle on downstream water height. Rectangular obstacles reduce downstream water height more significantly than triangular and trapezoidal ones. Downstream water height decreases non-linearly as obstacle height and width are increased.http://www.sciencedirect.com/science/article/pii/S2590123022000524Dam-breakNSWEFinite differenceObstacleLax-friedrichsFTCS |
| spellingShingle | I. Magdalena Muhamad Fikri Eka Pebriansyah Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle Results in Engineering Dam-break NSWE Finite difference Obstacle Lax-friedrichs FTCS |
| title | Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle |
| title_full | Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle |
| title_fullStr | Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle |
| title_full_unstemmed | Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle |
| title_short | Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle |
| title_sort | numerical treatment of finite difference method for solving dam break model on a wet dry bed with an obstacle |
| topic | Dam-break NSWE Finite difference Obstacle Lax-friedrichs FTCS |
| url | http://www.sciencedirect.com/science/article/pii/S2590123022000524 |
| work_keys_str_mv | AT imagdalena numericaltreatmentoffinitedifferencemethodforsolvingdambreakmodelonawetdrybedwithanobstacle AT muhamadfikriekapebriansyah numericaltreatmentoffinitedifferencemethodforsolvingdambreakmodelonawetdrybedwithanobstacle |