ROLL-WAVES IN BI-LAYER FLOWS-Reference-Cited by-同舟云学术

ROLL-WAVES IN BI-LAYER FLOWS

Published:2012-04-26 Issue:06 Volume:22 Page:1250006
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BOUTOUNET MARC¹,NOBLE PASCAL²,VILA JEAN-PAUL³

Affiliation:

1. ONERA, 2 Avenue E. Belin, 31055 Toulouse Cedex, France

2. Université de Lyon, Université Lyon 1 Institut Camille Jordan, UMR CNRS 5208, 43, Blvd du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France

3. Institut de Mathématiques de Toulouse, UMR CNRS 5219, INSA de Toulouse, 135 Avenue de Rangueil, 31077 Toulouse Cedex 4, France

Abstract

We derive consistent shallow water equations (so-called Saint Venant equations) for the superposition of two Newtonian fluids flowing down a ramp. We carry out a complete spectral analysis of steady flows in the low frequency/long wavelength regime and show the occurrence of hydrodynamic instabilities, so-called roll-waves, when steady flows are unstable.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202512500066

Reference39 articles.

1. Roll waves in mud

2. Shallow water viscous flows for arbitrary topopgraphy

3. Shallow Water equations for Non-Newtonian fluids

4. Mathematical Justification of a Shallow Water Model

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