Porous Shallow-Water Equations Model with Disambiguation of Multiple Solutions

Porous shallow-water equations (PSWE) are a mathematical model for urban flooding simulation that has gained popularity because of its modest computational burden. Under certain initial conditions, PSWE may admit multiple exact solutions. This implies that (i) a criterion is required to identify the...

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Bibliographic Details
Published inEnvironmental Sciences Proceedings Vol. 21; no. 1; p. 55
Main Authors Giada Varra, Renata Della Morte, Rudy Gargano, Luca Cozzolino
Format Journal Article
LanguageEnglish
Published MDPI AG 01.10.2022
Subjects
non-conservative products
porosity
shallow-water equations
urban flooding
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Summary:Porous shallow-water equations (PSWE) are a mathematical model for urban flooding simulation that has gained popularity because of its modest computational burden. Under certain initial conditions, PSWE may admit multiple exact solutions. This implies that (i) a criterion is required to identify the unique physically relevant solution among the alternatives, and that (ii) the corresponding numerical models should incorporate this criterion. In the present paper, a procedure for the disambiguation of PSWE multiple exact solutions is proposed and a 1-d PSWE numerical scheme from the literature is modified to embed the disambiguation ability.
ISSN:2673-4931
DOI:10.3390/environsciproc2022021055