Gradient evolution for potential vorticity flows
نویسندگان
چکیده
منابع مشابه
Gradient evolution for potential vorticity flows
Two-dimensional unsteady incompressible flows in which the potential vorticity (PV) plays a key role are examined in this study, through the development of the evolution equation for the PV gradient. For the case where the PV is conserved, precise statements concerning topologyconservation are presented. While establishing some intuitively well-known results (the numbers of eddies and saddles i...
متن کاملThe dynamics of the gradient of potential vorticity
The transport of the potential vorticity gradient ∇q along surfaces of constant potential temperature θ is investigated for the stratified Euler, Navier–Stokes and hydrostatic primitive equations of the oceans and atmosphere, in terms of the divergence-less flux vector B = ∇Q(q)×∇θ , for any smooth function Q of the potential vorticity q. The flux vector B is shown to satisfy a transport equati...
متن کاملGradient and vorticity banding
Banded structures” of macroscopic dimensions can be induced by simple shear flow in many different types of soft matter systems. Depending on whether these bands extend along the gradient or vorticity direction, the banding transition is referred to as “gradient banding” or “vorticity banding,” respectively. The main features of gradient banding can be understood on the basis of a relatively si...
متن کاملPrimordial vorticity and gradient expansion
The evolution equations of the vorticities of the electrons, ions and photons in a predecoupling plasma are derived, in a fully inhomogeneous geometry, by combining the general relativistic gradient expansion and the drift approximation within the Adler-Misner-Deser decomposition. The vorticity transfer between the different species is discussed in this novel framework and a set of general cons...
متن کاملSpace discontinuous Galerkin method for shallow water flows —kinetic and HLLC flux, and potential vorticity generation
In this paper, a second order space discontinuous Galerkin (DG) method is presented for the numerical solution of inviscid shallow water flows over varying bottom topography. Novel in the implementation is the use of HLLC and kinetic numerical fluxes 1 in combination with a dissipation operator, applied only locally around discontinuities to limit spurious numerical oscillations. Numerical solu...
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: Nonlinear Processes in Geophysics
سال: 2001
ISSN: 1607-7946
DOI: 10.5194/npg-8-253-2001