Diamond shaped standing wave patterns of a two-dimensional Boussinesq system

2019 ◽  
Vol 141 ◽  
pp. 91-101 ◽  
Author(s):  
Shenghao Li ◽  
Min Chen
Keyword(s):  
Standing Wave ◽  
Boussinesq System ◽  
Two Dimensional ◽  
Wave Patterns

scholarly journals THE USE OF ADV IN WAVE FLUMES: GETTING MORE INFORMATION ABOUT WAVES

2012 ◽  
Vol 1 (33) ◽  
pp. 38 ◽  
Author(s):  
Claudio F. Neves ◽  
Luiz Augusto M. Endres ◽  
Conceição Juana Fortes ◽  
Daniel Spinola Clemente
Keyword(s):  
Free Surface ◽  
Linear Theory ◽  
Standing Wave ◽  
Physical Models ◽  
Two Dimensional ◽  
Velocity Data ◽  
Wave Patterns ◽  
Surface Profiles ◽  
Experimental Works ◽  
The Subject

This article discusses the advantages of measuring wave orbital velocities in coastal two-dimensional physical models in addition to free surface profiles. A brief presentation of linear theory for partial standing wave is made and early experimental works on this subject are reviewed. Since 2005, additional experiments have been conducted on wave flumes in Brazil (INPH, IPH/UFRGS) and in Portugal (LNEC), in order to characterize wave patterns in terms of velocity data obtained by ADVs. A few questions are posed in the conclusion of the article, which aim at suggesting special care on the interpretation of velocity data, as used today, as well as proposing further research on the subject.

scholarly journals Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame

Fluids ◽  
2021 ◽  
Vol 6 (1) ◽  
pp. 27
Author(s):  
J. Barry Greenberg ◽  
David Katoshevski
Keyword(s):  
Liquid Phase ◽  
Flow Field ◽  
Standing Wave ◽  
Diffusion Flame ◽  
Stokes Number ◽  
Flame Height ◽  
Wave Flow ◽  
Two Dimensional ◽  
Governing Equations ◽  
First Time

A theoretical investigation of the influence of a standing wave flow-field on the dynamics of a laminar two-dimensional spray diffusion flame is presented for the first time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governing equations to be developed. Influence of the standing wave flow-field on droplet grouping is described by a specially constructed modification of the vaporization Damkohler number. Instantaneous flame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced by the standing wave flow-field, can have on flame height, shape, and type (over- or under-ventilated) and on the existence of multiple flame fronts.

scholarly journals GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO

2011 ◽  
Vol 21 (03) ◽  
pp. 421-457 ◽  
Author(s):  
RAPHAËL DANCHIN ◽  
MARIUS PAICU
Keyword(s):  
Global Existence ◽  
Turbulent Flows ◽  
Vertical Direction ◽  
Boussinesq System ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Incompressible Euler Equation ◽  
Navier Stokes Equation ◽  
Transport Diffusion ◽  
Anisotropic Viscosity

Models with a vanishing anisotropic viscosity in the vertical direction are of relevance for the study of turbulent flows in geophysics. This motivates us to study the two-dimensional Boussinesq system with horizontal viscosity in only one equation. In this paper, we focus on the global existence issue for possibly large initial data. We first examine the case where the Navier–Stokes equation with no vertical viscosity is coupled with a transport equation. Second, we consider a coupling between the classical two-dimensional incompressible Euler equation and a transport–diffusion equation with diffusion in the horizontal direction only. For both systems, we construct global weak solutions à la Leray and strong unique solutions for more regular data. Our results rest on the fact that the diffusion acts perpendicularly to the buoyancy force.

Tuning Molecular Superlattice by Charge-Density-Wave Patterns in Two-Dimensional Monolayer Crystals

2021 ◽  
pp. 3545-3551
Author(s):  
Quanzhen Zhang ◽  
Zeping Huang ◽  
Yanhui Hou ◽  
Peiwen Yuan ◽  
Ziqiang Xu ◽  
...  
Keyword(s):  
Charge Density ◽  
Charge Density Wave ◽  
Density Wave ◽  
Two Dimensional ◽  
Wave Patterns

scholarly journals The Asymptotic Approach to the Description of Two-Dimensional Symmetric Soliton Patterns

Symmetry ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 1586
Author(s):  
Yury Stepanyants
Keyword(s):  
Solitary Waves ◽  
Asymptotic Theory ◽  
Deep Ocean ◽  
Two Dimensional ◽  
Asymptotic Approach ◽  
Suggested Approach ◽  
Symmetric Wave ◽  
Petviashvili Equation ◽  
Wave Patterns ◽  
Symmetric Soliton

The asymptotic approach is suggested for the description of interacting surface and internal oceanic solitary waves. This approach allows one to describe stationary moving symmetric wave patterns consisting of two plane solitary waves of equal amplitudes moving at an angle to each other. The results obtained within the approximate asymptotic theory are validated by comparison with the exact two-soliton solution of the Kadomtsev–Petviashvili equation (KP2-equation). The suggested approach is equally applicable to a wide class of non-integrable equations too. As an example, the asymptotic theory is applied to the description of wave patterns in the 2D Benjamin–Ono equation describing internal waves in the infinitely deep ocean containing a relatively thin one of the layers.

Standing Lattice Wave Patterns of a Boussinesq System

2019 ◽  
Vol 21 (2) ◽  
Author(s):  
Shenghao Li ◽  
Min Chen ◽  
Bingyu Zhang
Keyword(s):  
Boussinesq System ◽  
Wave Patterns ◽  
Lattice Wave
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