Steady flow over an arbitrary obstruction based on the gravity wave equations

8th International Conference on Physics and its Applications

Mungkasi, S.^1 ; Supriyadi, B.^2 ; Wiryanto, L.H.^3

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Yogyakarta, Indonesia^1

Department of Civil and Environmental Engineering, Faculty of Engineering, Gadjah Mada University, Yogyakarta, Indonesia^2

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, Indonesia^3

关键词: Bottom topography;    Fluid surface;    Interior space;    Shallow water equations;    Space domain;    Steady-state problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/776/1/012080/pdf
DOI  :  10.1088/1742-6596/776/1/012080

来源: IOP

【 摘 要 】

We derive an analytical solution to a steady state problem of the gravity wave equations. An arbitrary bottom topography is considered. The problem is assumed to be one dimensional. The depth, discharge and topography elevation at the left-end of the space domain are assumed to have the same values as those at the right-end. We obtain that the fluid surface on the whole interior space domain remains horizontal and is not influenced by the topography shape when we use the gravity wave equations. Furthermore, the analytical solution that we derive is used to test the performance of a finite volume method. We find that the gravity wave equations give some advantages in comparison to the shallow water equations.