@article{d3408d8169fd477ebe006b2a376d8f03,
title = "The significance of spatial reconstruction in finite volume methods for the shallow water equations",
abstract = "We study the significance of the spatial reconstruction when solving the one dimensional shallow water equations using a finite volume method. For that aim, we implement the explicit forward Euler method for temporal integration while the spatial discretization is performed by finite volume method. We compare the results of constant spatial reconstruction with those of linear spatial reconstruction. The numerical tests include the steady state of a lake at rest, the steady state of moving water and an unsteady state of dam break problem. It is shown that the spatial reconstruction has a significant role in the accuracy of the finite volume method.",
keywords = "Finite volume, Shallow water equations, Spatial reconstruction",
author = "Noor Hidayat and Suhariningsih and Agus Suryanto and Sudi Mungkasi",
note = "Funding Information: Authorship note: CFM and G Gaipa share first authorship. A Rambaldi and A Biondi are co–senior authors. Conflict of interest: The Tettamanti Foundation has filed a patent application for the technology used in this report (European patent application 15801344.1; PCT/ EPO2015/075980), and CFM, ST, EB, and A Biondi are inventors. The technology was licensed to Formula Pharmaceuticals for further development. Formula Pharmaceuticals provided a research grant to support the current academic study. Copyright: {\textcopyright} 2020, American Society for Clinical Investigation. Submitted: April 6, 2020; Accepted: July 29, 2020; Published: October 12, 2020. Reference information: J Clin Invest. 2020;130(11):6021–6033. https://doi.org/10.1172/JCI138473. Funding Information: This study was supported by grants from the Fondazione AIRC per la Ricerca sul Cancro (AIRC); Cancer Research UK (CRUK); the Fundaci?n Cient?fica de la Asociaci?n Espa?ola Contra el C?ncer (FC AECC); Ministero Della Salute; Fondazione Regionale per la Ricerca Biomedica (FRRB). Publisher Copyright: {\textcopyright} 2014 Noor Hidayat, Suhariningsih, Agus Suryanto and Sudi Mungkasi.",
year = "2014",
doi = "10.12988/ams.2014.4124",
language = "English",
pages = "1411--1420",
journal = "Applied Mathematical Sciences",
publisher = "Hikari Ltd.",
number = "29-32",
}