TY - JOUR

T1 - Stability of a horizontal shear flow

AU - Kovtunenko, P. V.

PY - 2017/10/22

Y1 - 2017/10/22

N2 - In this work we study the stability of horizontal shear flows of an ideal fluid in an open channel. Stability conditions are derived in terms of the theory of generalized hyperbolicity of motion equations. We show that flows with monotonic convex profile are always stable, whereas flows with an inflexion point in the velocity profile might become unstable. To illustrate the criteria we give simple examples for stable and unstable flows. Then we derive a multilayered model that is an approximation of the original model and features a continuous piecewise linear velocity profile. We also formulate sufficient hyperbolicity conditions for the multilayered model.

AB - In this work we study the stability of horizontal shear flows of an ideal fluid in an open channel. Stability conditions are derived in terms of the theory of generalized hyperbolicity of motion equations. We show that flows with monotonic convex profile are always stable, whereas flows with an inflexion point in the velocity profile might become unstable. To illustrate the criteria we give simple examples for stable and unstable flows. Then we derive a multilayered model that is an approximation of the original model and features a continuous piecewise linear velocity profile. We also formulate sufficient hyperbolicity conditions for the multilayered model.

KW - LONG-WAVE EQUATIONS

UR - http://www.scopus.com/inward/record.url?scp=85033235547&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/894/1/012044

DO - 10.1088/1742-6596/894/1/012044

M3 - Conference article

AN - SCOPUS:85033235547

VL - 894

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012044

ER -