Hostname: page-component-f7d5f74f5-5d7d4 Total loading time: 0 Render date: 2023-10-02T19:26:39.723Z Has data issue: false Feature Flags: { "corePageComponentGetUserInfoFromSharedSession": true, "coreDisableEcommerce": false, "coreDisableSocialShare": false, "coreDisableEcommerceForArticlePurchase": false, "coreDisableEcommerceForBookPurchase": false, "coreDisableEcommerceForElementPurchase": false, "coreUseNewShare": true, "useRatesEcommerce": true } hasContentIssue false

On internal fronts

Published online by Cambridge University Press:  01 April 2003

Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure de Cachan, 61 av. Président Wilson, 94235 Cachan, France
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK


The propagation of nonlinear fronts in a channel flow of two contiguous homogeneous fluids of different densities is considered. Each fluid layer is of finite depth. The study is restricted to steady flows in a frame of reference moving with the front. The full governing equations are integrated numerically. The numerical method is based on boundary integral equation techniques. Although the propagation of waves in two-layer fluids is a classical problem, this is the first time that fronts have been directly computed. The limiting configuration of fronts as their amplitude increases is discussed and shown to depend on whether the front is of elevation or of depression.

Research Article
© 2003 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)