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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: | Engineering |
| Research Group: | Fluid mechanics and thermal engineering |
| Research Field: | Microfluidics and nanofluidics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Forbes, LK (Professor Larry Forbes) |
| UTAS Author: | Chen, MJ (Mr Michael Chen) |
| UTAS Author: | Trenham, C (Ms Claire Trenham) |
| ID Code: | 44352 |
| Year Published: | 2007 |
| Funding Support: | Australian Research Council (DP0450225) |
| Web of Science® Times Cited: | 22 |
| Deposited By: | Mathematics |
| Deposited On: | 2007-08-01 |
| Last Modified: | 2008-04-07 |
| Downloads: | 0 |
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