Finite model of two-dimensional ideal hydrodynamics
نویسندگان
چکیده
منابع مشابه
On Group-Theoretic Finite-Mode Approximation of 2D Ideal Hydrodynamics
Structure constants of the su(N) (N odd) Lie algebras converge when N goes to infinity to the structure constants of the Lie algebra sdiff(T 2) of the group of area-preserving diffeomorphisms of a 2D torus. Thus Zeitlin and others hypothesized that solutions of the Euler equations associated with su(N) algebras converge to solutions of the Euler equations of incompressible fluid dynamics on a 2...
متن کاملNumerical Simulation of the Hydrodynamics of a Two-Dimensional Gas—Solid Fluidized Bed by New Finite Volume Based Finite Element Method
n this work, computational fluid dynamics of the flow behavior in a cold flow of fluidized bed is studied. An improved finite volume based finite element method has been introduced to solve the two-phase gas/solid flow hydrodynamic equations. This method uses a collocated grid, where all variables are located at the nodal points. The fluid dynamic model for gas/solid two-phase flow is based on ...
متن کاملNormal forms for three-dimensional parametric instabilities in ideal hydrodynamics
We derive and analyze several low dimensional Hamiltonian normal forms describing system symmetry breaking in ideal hydrodynamics. The equations depend on two parameters (e,2), where e is the strength of a system symmetry breaking perturbation and 2 is a detuning parameter. In many cases the resulting equations are completely integrable and have an interesting Hamiltonian structure. Our work is...
متن کاملGlobal Regularity of Two-dimensional Flocking Hydrodynamics
We study the systems of Euler equations which arise from agent-based dynamics driven by velocity alignment. It is known that smooth solutions of such systems must flock, namely — the large time behavior of the velocity field approaches a limiting “flocking” velocity. To address the question of global regularity, we derive sharp critical thresholds in the phase space of initial configuration whi...
متن کاملDivorticity and Dihelicity in Two-dimensional Hydrodynamics
The theory of two-dimensional (2D) fully developed turbulence (FDT) (Kraichnan [1], Batchelor [2]), until recently, remained almost an academic exercise, not withstanding its possible connections with large-scale flows in thin fluid shells such as atmospheres and oceans. 2D FDT has now been produced to a close approximation in a variety of laboratory experiments (Couder [3], Kellay et al. [4], ...
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: Physical Review A
سال: 1992
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.46.6417