Self-similarity of strongly stratified inviscid flows
نویسندگان
چکیده
منابع مشابه
Inviscid incompressible limits of strongly stratified fluids
We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a bi-dimensional character of the flow, we identify the limit system represented by the so-called lake equation the Euler system supplemented by an anelastic type constraint imposed by the limit densi...
متن کاملAsymptotic Stability of Unsteady Inviscid Stratified Flows
The stability of modulated atmospheric flows is analyzed. The equations govern. ing the disturbance motion are solved by Galerkin expansions with time-dependent coefficients. Asymptotic stability bounds are then established by constructing Liapuno"\ functions for the resulting differential systems.
متن کاملStratified Integrals and Unknots in Inviscid Flows
We prove that any steady solution to the Cω Euler equations on a Riemannian S3 must possess a periodic orbit bounding an embedded disc. One key ingredient is an extension of Fomenko’s work on the topology of integrable Hamiltonian systems to a degenerate case involving stratified integrals. The result on the Euler equations follows from this when combined with some contact-topological perspecti...
متن کاملTurbulent mixing in strongly stratified shear flows
Motivated by the importance of irreversible mixing in geophysical and environmental flows, we seek to understand the dependence of its efficiency under strongly stratified conditions through a seris of direct numerical simulation of Holmboe wave instability under various initial conditions. Our numerical findings demonstrate that while mixing is enhanced when the density layer is much sharper t...
متن کاملModel dynamics and vertical collapse in decaying strongly stratified flows
Recent laboratory experiments with decaying strongly stratified grid turbulence at moderate Reynolds numbers reveal remarkable behavior. These experiments document the evolution of an initial sea of columnar dipole vortex pairs with dominant vertical vorticity to stratified ‘‘pancake’’ vortex sheets with dominant horizontal vorticity, together with a concurrent dominance of vertical dissipation...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2001
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.1369125