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All Journal Kubik Communication in Biomathematical Sciences KUBIK: Jurnal Publikasi Ilmiah Matematika Engineering, Mathematics and Computer Science Journal (EMACS) Indonesian Journal of Applied Mathematics and Statistics
Dani Suandi
Faculty Of Mathematics And Natural Sciences, Institut Teknologi Bandung
Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Industrial & Manufacturing Engineering Mathematics Public Health Social Sciences

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Two-Layer Shallow Water Equations with Momentum Conservative Scheme for Wave Propagation Simulation Ginting, Maria Artanta; Suandi, Dani; Dani, Yasi
Engineering, MAthematics and Computer Science Journal (EMACS) Vol. 6 No. 1 (2024): EMACS
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/emacsjournal.v6i1.10786

Abstract

In this paper, we discuss the implementation of momentum conservative scheme to shallow water equations (SWE). In shallow water model, the hydrodynamic pressure of the water is neglected. Here, the numerical calculation of mass and momentum conservation was applied on a staggered grid domain. The vertical interval was divided into two parts which made the computation quite efficient and accurate. Our focus is on the performance of the numerical scheme in simulating wave propagation and run-up phenomena, where the main challenge is to calculate the wave speed accurately and to count the non-linear term of the model. Here we also considered the wet and dry conditions of the topography. Three benchmark tests were picked out to validate the numerical scheme. A simulation of standing wave was carried out; the results were compared to the linear analytical solution and show a good fit. In addition, a simulation of harmonic wave propagation on a sloping beach was conducted, and the results closely align with the expected values from exact solution. Finally, we carried out a simulation of solitary wave with a sloping topography; and the results were compared to laboratory data. A good agreement was observed between the simulation results and experimental measurements.
Co-Authors Alifah, Amalia Nur Dani, Yasi Erna Putri Utami Fadilah Ilahi Febrianti, Ranny Ginting, Maria Artanta Ilahi, Fadilah Imroatul Khoiriyah Muwahidah Ira Prapti Ningrum Izzah, Nurul Lisna Nurjanah Mazi Prima Reza Muwahidah, Imroatul Khoiriyah Ningrum, Ira Prapti Nugraha, Edwin Setiawan Nurjanah, Lisna Nurul Izzah Ramdhani, Randi Reza, Mazi Prima Ulya, Aulia Himmatul Utami, Erna Putri Wardhani, Andreanne Intan Sulistyo