Shallow Water Ray Tracing with Nonlinear Velocity Profiles

1972 ◽  
Vol 52 (3B) ◽  
pp. 1000-1010 ◽  
Author(s):  
N. L. Weinberg ◽  
T. Dunderdale
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Velocity Profiles ◽  
Nonlinear Velocity

Velocity profiles of nonlinear shallow‐water flows

2008 ◽  
Vol 31 (1) ◽  
pp. 105-120 ◽  
Author(s):  
Meng‐Yu Lin ◽  
Liang‐Hsiung Huang
Keyword(s):  
Shallow Water ◽  
Velocity Profiles ◽  
Water Flows ◽  
Shallow Water Flows

A comparison of finite element and hybrid ray-tracing propagation models for shallow water environments

2016 ◽  
Vol 140 (4) ◽  
pp. 3014-3014 ◽  
Author(s):  
Marcia J. Isakson ◽  
Jacob George ◽  
David Harvey
Keyword(s):  
Finite Element ◽  
Shallow Water ◽  
Ray Tracing ◽  
Propagation Models

scholarly journals Wall roughness and nonlinear velocity profiles in granular shear flows

2017 ◽  
Vol 140 ◽  
pp. 03090 ◽  
Author(s):  
Paul Schuhmacher ◽  
Farhang Radjai ◽  
Stéphane Roux
Keyword(s):  
Shear Flows ◽  
Velocity Profiles ◽  
Wall Roughness ◽  
Granular Shear ◽  
Nonlinear Velocity

A ray method for near-shore plumes in a shallow-water flow

1991 ◽  
Vol 224 ◽  
pp. 227-239 ◽  
Author(s):  
Ronald Smith
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Water Flow ◽  
Uniform Approximation ◽  
Contaminant Plume ◽  
Shallow Water Flow ◽  
Ray Method ◽  
Near Shore ◽  
Tracing Method ◽  
Ray Paths

Far from a shoreline, the spreading of a contaminant plume in a shallow-water flow can be predicted easily and accurately by a ray-tracing method. Unfortunately, the concentration predictions become singular at a beach, where the ray paths have a caustic. In this paper a uniform approximation is derived which remains valid at a beach. It is shown how the singular ray solutions corresponding to rays incident to and transmitted from the beach can be combined to construct the uniform approximation.

scholarly journals Ray tracing in a turbulent, shallow‐water channel

1998 ◽  
Vol 103 (5) ◽  
pp. 2751-2752 ◽  
Author(s):  
Christian Bjerrum‐Niese ◽  
René Lützen ◽  
Leif Bjo/rno/
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Water Channel

Two‐dimensional localization of walruses in shallow water using a ray‐tracing model.

2011 ◽  
Vol 129 (4) ◽  
pp. 2574-2574
Author(s):  
Xavier Mouy ◽  
Mikhail Zykov ◽  
Bruce S. Martin
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Two Dimensional ◽  
Ray Tracing Model

scholarly journals Probing nonlinear velocity profiles of shear-thinning, nematic platelet dispersions in Couette flow using x-ray photon correlation spectroscopy

2021 ◽  
Vol 33 (6) ◽  
pp. 063102
Author(s):  
Y. Chen ◽  
O. Korculanin ◽  
S. Narayanan ◽  
J. Buitenhuis ◽  
S. A. Rogers ◽  
...  
Keyword(s):  
Couette Flow ◽  
Photon Correlation Spectroscopy ◽  
Shear Thinning ◽  
Velocity Profiles ◽  
Correlation Spectroscopy ◽  
Photon Correlation ◽  
X Ray ◽  
Nonlinear Velocity

A vertical/horizontal splitting algorithm for three-dimensional tidal and storm surge computations

1990 ◽  
Vol 430 (1879) ◽  
pp. 263-283 ◽  
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Three Dimensional ◽  
Storm Surges ◽  
Velocity Profiles ◽  
Splitting Algorithm ◽  
Third Order ◽  
Vertical Coordinate ◽  
Truncation Errors ◽  
Nicolson Scheme

An algorithm is described for the computation of the three-dimensional velocity fields due to tides and storm surges. The surface elevation and depth-averaged velocity components are first computed from the shallow-water equations. These equations are then used as part of the input to the second part of the algorithm, in which the velocity profiles are computed from the momentum equations. The nonlinear terms in the momentum equations and both the advective terms and the bottom friction terms in the shallow-water equations are fully included. The shallow-water equations are solved by a finite difference scheme that achieves third-order local truncation errors in all the dominant terms and that permits correct parallel flow on coastal boundaries of any orientation. Two alternative algorithms are discussed for computation of the velocity profiles, one based on finite elements in the vertical coordinate direction, the other based on a generalized Crank-Nicolson scheme. The complete algorithm has been tested on several model problems and has been found to be accurate and fast.

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