Open AccessBook
Water Waves: The Mathematical Theory with Applications
TLDR
In this article, two-dimensional waves on a running stream in water of uniform depth were modeled as a moving pressure point, and the theory of the wave pattern created by a moving ship was proposed.Abstract:
Basic Hydrodynamics. The Two Basic Approximate Theories. WAVES SIMPLE HARMONIC IN THE TIME. Simple Harmonic Oscillations in Water of Constant Depth. Waves Maintained by Simple Harmonic Surface Pressure in Water of Uniform Depth: Forced Oscillations. Waves on Sloping Beaches and Past Obstacles. MOTIONS STARTING FROM REST: TRANSIENTS. Unsteady Motions. WAVES ON A RUNNING STREAM: SHIP WAVES. Two-Dimensional Waves on a Running Stream in Water of Uniform Depth. Waves Caused by a Moving Pressure Point: Kelvin's Theory of the Wave Pattern Created by a Moving Ship. The Motion of a Ship, as a Floating Rigid Body, in a Seaway. Long Waves in Shallow Water. Mathematical Hydraulics. Problems in Which Free Surface Conditions Are Satisfied Exactly: The Breaking of a Dam Levi-Civita's Theory. Bibliography. Indexes.read more
Citations
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Hitchhiker's guide to the fractional Sobolev spaces
TL;DR: In this article, the authors deal with the fractional Sobolev spaces W s;p and analyze the relations among some of their possible denitions and their role in the trace theory.
Journal ArticleDOI
The motion of a finite mass of granular material down a rough incline
Stuart B. Savage,Kolumban Hutter +1 more
TL;DR: In this article, two similarity solutions are found for the motion of a finite mass of material released from rest on a rough inclined plane, and the linear stability of the similarity solutions is studied.
Book
Waves in Oceanic and Coastal Waters
TL;DR: The SWAN wave model as discussed by the authors is a wave model based on linear wave theory (SWAN) for oceanic and coastal waters, and it has been shown to be effective in detecting ocean waves.
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The trajectories of particles in Stokes waves
TL;DR: In this paper, it was shown that there are no closed particle paths in an irrotational inviscid traveling wave propagating at the surface of water over a flat bed.
Journal ArticleDOI
Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations
Javier Bonet,T.-S.L. Lok +1 more
TL;DR: In this article, a new variational framework for various existing Smooth Particle Hydrodynamic (SPH) techniques and a new corrected SPH formulation are presented, where the linear and angular momentum preserving properties of SPH formulations are also discussed.
References
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Book
A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Journal ArticleDOI
XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
D. J. de Korteweg,G. de Vries +1 more
TL;DR: In this article, the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves were discussed, and a new model of long wave propagation was proposed.