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European Journal of Mechanics – B/Fluids, Volume 36, November–December 2012, Pages 176-186
Yuncheng Lin, L.G. Redekopp
Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, United States
Abstract
The eigenvalue problem for momentum-conserving internal jumps in a stratifiedshearflow is developed, and solutions for several classes of flows are considered. It is shown that the presence of velocityshear significantly enhances the parameter range within which energetically-permissible shock solutions exist, and that the maximum allowable amplitude is increased when the ambient state possesses a baroclinic shear. It is also shown that the presence of steep regions in the stratification allow a class of larger-amplitude solutions compared to the case with smooth density gradients.
