Quantum Mechanical and Optical Analogies in Surface Gravity Water Waves
نویسندگان
چکیده
منابع مشابه
Traveling Waves in Deep Water with Gravity and Surface Tension
This paper is concerned with the simulation of periodic traveling deep-water freesurface water waves under the influence of gravity and surface tension in two and three dimensions. A variety of techniques is utilized, including the numerical simulation of a weakly nonlinear model, explicit solutions of low-order perturbation theories, and the direct numerical simulation of the full water wave e...
متن کاملMechanical Balance Laws for Boussinesq Models of Surface Water Waves
Depth-integrated long-wave models, such as the shallow-water and Boussinesq equations, are standard fare in the study of small amplitude surface waves in shallow water. While the shallow-water theory features conservation of mass, momentum and energy for smooth solutions, mechanical balance equations are not widely used in Boussinesq scaling, and it appears that the expressions for many of thes...
متن کاملAnalogies between electricity and gravity
This is a brief history of physical analogies that begins at the time of Coulomb. Then it was universally believed that gravity, electricity and magnetism all obeyed Newton’s inverse square law. The current era—dominated by quantum mechanics, general relativity, strings and inflationary cosmology—is clearly more complex. A new analogy may be helpful. Evidence is given that, in the non-relativis...
متن کاملThree-dimensional travelling gravity-capillary water waves
1.1 The hydrodynamic problem The classical water-wave problem concerns the irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The fluid motion is described by the Euler equations in a domain bounded below by a rigid horizontal bottom {y = −h} and above by a free surface which is described as a graph {y = η(x, z, t)}, where the function η d...
متن کاملThree-dimensional Solitary Gravity-capillary Water Waves
The existence of solitary-wave solutions to the three-dimensional water-wave problem with strong surface-tension effects is predicted by the KP-I model equation. The term solitary wave describes any solution which has a pulse-like profile in its direction of propagation, and the KP-I equation admits explicit solutions for three different types of solitary wave. A line solitary wave is spatially...
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: Fluids
سال: 2019
ISSN: 2311-5521
DOI: 10.3390/fluids4020096