A review on advanced numerical methods for free-surface hydrodynamics-Reference-Cited by-同舟云学术

A review on advanced numerical methods for free-surface hydrodynamics

Published:2022-06-23 Issue:2 Volume:68 Page:621-643
ISSN:0430-3202
Container-title:ANNALI DELL'UNIVERSITA' DI FERRARA
language:en
Short-container-title:Ann Univ Ferrara

Author:

Casulli Vincenzo^ORCID,Zanolli Paola

Abstract

AbstractEnvironmental hydrodynamics is typically characterized by free-surface hydrostatic flows. Within such a framework a set of simplified models are derived from the Reynolds averaged Navier–Stokes equations under various simplifying assumptions. Numerically, a simple method for the 1D open channel flow is derived first. This method is then extended to the

$$2D_{xz}$$

2 D xz laterally averaged model and to the

$$2D_{xy}$$

2 D xy vertically averaged model. Next, a semi-implicit method for the 3D model is described and discussed.

Funder

Università degli Studi di Trento

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11565-022-00406-9.pdf

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