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.
Porous Shallow-Water Equations Model with Disambiguation of Multiple Solutions
Giada Varra;Renata Della Morte;Luca Cozzolino
2022-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
