Research output: Contribution to journal › Conference article › peer-review
Stability of a horizontal shear flow. / Kovtunenko, P. V.
In: Journal of Physics: Conference Series, Vol. 894, No. 1, 012044, 22.10.2017.Research output: Contribution to journal › Conference article › peer-review
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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 -
ID: 12670988