Numerical Simulation of Marine Internal Wave Dynamics Based on Functional Analysis

2019 ◽  
Vol 83 (sp1) ◽  
pp. 12
Author(s):  
Huiru Liu
Keyword(s):  
Numerical Simulation ◽  
Functional Analysis ◽  
Internal Wave ◽  
Wave Dynamics

Numerical Studies of Internal Wave Dynamics

1997 ◽  
Author(s):  
George F. Carnevale ◽  
M. C. Hendershott
Keyword(s):  
Internal Wave ◽  
Wave Dynamics ◽  
Numerical Studies

On the irreversibility of internal-wave dynamics due to wave trapping by mean flow inhomogeneities. Part 1. Local analysis

1993 ◽  
Vol 251 ◽  
pp. 21-53 ◽  
Author(s):  
Sergei I. Badulin ◽  
Victor I. Shrira
Keyword(s):  
Shear Flow ◽  
Internal Wave ◽  
Wave Field ◽  
Large Scale ◽  
Spatial Scales ◽  
Energy Concentration ◽  
Local Analysis ◽  
Mean Flow ◽  
Wave Trapping ◽  
Wave Dynamics

The propagation of guided internal waves on non-uniform large-scale flows of arbitrary geometry is studied within the framework of linear inviscid theory in the WKB-approximation. Our study is based on a set of Hamiltonian ray equations, with the Hamiltonian being determined from the Taylor-Goldstein boundary-value problem for a stratified shear flow. Attention is focused on the fundamental fact that the generic smooth non-uniformities of the large-scale flow result in specific singularities of the Hamiltonian. Interpreting wave packets as particles with momenta equal to their wave vectors moving in a certain force field, one can consider these singularities as infinitely deep potential holes acting quite similarly to the ‘black holes’ of astrophysics. It is shown that the particles fall for infinitely long time, each into its own ‘black hole‘. In terms of a particular wave packet this falling implies infinite growth with time of the wavenumber and the amplitude, as well as wave motion focusing at a certain depth. For internal-wave-field dynamics this provides a robust mechanism of a very specific conservative and moreover Hamiltonian irreversibility.This phenomenon was previously studied for the simplest model of the flow non-uniformity, parallel shear flow (Badulin, Shrira & Tsimring 1985), where the term ‘trapping’ for it was introduced and the basic features were established. In the present paper we study the case of arbitrary flow geometry. Our main conclusion is that although the wave dynamics in the general case is incomparably more complicated, the phenomenon persists and retains its most fundamental features. Qualitatively new features appear as well, namely, the possibility of three-dimensional wave focusing and of ‘non-dispersive’ focusing. In terms of the particle analogy, the latter means that a certain group of particles fall into the same hole.These results indicate a robust tendency of the wave field towards an irreversible transformation into small spatial scales, due to the presence of large-scale flows and towards considerable wave energy concentration in narrow spatial zones.

scholarly journals Low Model Analysis and Synchronous Simulation of the Wave Mechanics

2016 ◽  
Vol 2016 ◽  
pp. 1-13
Author(s):  
Wenyuan Duan ◽  
Heyuan Wang ◽  
Meng Kan
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Function ◽  
Chaotic System ◽  
Invariant Set ◽  
Positive Definite ◽  
Chaotic Attractors ◽  
Wave Mechanics ◽  
Wave Dynamics ◽  
Simulation Results ◽  
Positive Invariant Set

The dynamic behavior of a chaotic system in the internal wave dynamics and the problem of the tracing and synchronization are investigated, and the numerical simulation is carried out in this paper. The globally exponentially attractive set and positive invariant set of the chaotic system are studied via constructing the positive definite and radial unbounded Lyapunov function. There are no equilibrium positions, periodic solutions, quasi-period motions, wandering recovering motions, and other chaotic attractors of the system out of the globally exponentially attractive set. Strange attractors can only locate in the globally exponentially attractive set. A feedback controller is designed for the chaotic system to realize the control of the unstable point. The second method of Lyapunov is used to discuss theoretically the rationality of the design of the controller. The driving-response synchronization method is used to realize the globally exponential synchronization. The numerical simulation is carried out by MATLAB software, and the simulation results show that the method is effective.

Numerical Simulation on the Propagation of an Internal Wave in Multifluid

2001 ◽  
pp. 639-644
Author(s):  
Hideyuki Oka ◽  
Tetuya Kawamura ◽  
Katsuya Ishii
Keyword(s):  
Numerical Simulation ◽  
Internal Wave

Wave dynamics of bubbly liquids mathematical models and numerical simulation

Shock Waves ◽  
1992 ◽  
pp. 535-540
Author(s):  
Y. Matsumoto ◽  
M. Kameda ◽  
F. Takemura ◽  
H. Ohashi ◽  
A. Ivandaev
Keyword(s):  
Numerical Simulation ◽  
Mathematical Models ◽  
Bubbly Liquids ◽  
Wave Dynamics

Numerical simulation of vertical liquid-film wave dynamics

2013 ◽  
Vol 104 ◽  
pp. 934-944 ◽  
Author(s):  
Gregor D. Wehinger ◽  
Joris Peeters ◽  
Samir Muzaferija ◽  
Thomas Eppinger ◽  
Matthias Kraume
Keyword(s):  
Numerical Simulation ◽  
Liquid Film ◽  
Wave Dynamics
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