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Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow

Citation

Forbes, LK and Chen, MJ and Trenham, C, Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow, Journal of Computational Physics, 221, (1) pp. 269-287. ISSN 0021-9991 (2007) [Refereed Article]

DOI: doi:10.1016/j.jcp.2006.06.010

Abstract

Periodic waves at the interface of two immiscible fluids are considered. Each fluid is inviscid and incompressible, and is moving vertically with constant speed. The upper fluid is more dense than the lower one, and the interface between them is thus unstable to small perturbations. A linearized solution, valid for waves of small amplitude, is reviewed and a novel numerical method is presented for computing waves of moderate amplitude. The technique uses a Fourier-Galerkin approach, and converts the governing equations into a system of ordinary differential equations for the Fourier coefficients. It is then shown how the method may be modified to allow for the evolution of overhanging waves, using a novel time-dependent arclength formulation. © 2006 Elsevier Inc. All rights reserved.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Classical Physics
Research Field:Fluid Physics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Forbes, LK (Professor Larry Forbes)
Author:Chen, MJ (Mr Michael Chen)
Author:Trenham, C (Mrs Claire Hotan)
ID Code:44352
Year Published:2007
Funding Support:Australian Research Council (DP0450225)
Web of Science® Times Cited:19
Deposited By:Mathematics
Deposited On:2007-08-01
Last Modified:2008-04-07
Downloads:0

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