Action of Non-Linear Waves at a Solid Wall

1977 ◽  
Author(s):  
Mohamed S. Nasser ◽  
John A. McCorquodale
Keyword(s):  
Solid Wall ◽  
Linear Waves ◽  
Non Linear

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

scholarly journals A Scattering Theory for Linear Waves on the Interior of Reissner–Nordström Black Holes

2019 ◽  
Vol 20 (5) ◽  
pp. 1583-1650 ◽  
Author(s):  
Christoph Kehle ◽  
Yakov Shlapentokh-Rothman
Keyword(s):  
Black Holes ◽  
Scattering Theory ◽  
Linear Waves

Maximum Wave Crests in Heavy Seas

1999 ◽  
Vol 122 (3) ◽  
pp. 222-224 ◽  
Author(s):  
T. H. Dawson
Keyword(s):  
Computer Simulations ◽  
Extreme Value Theory ◽  
Ocean Waves ◽  
Value Theory ◽  
Extreme Value ◽  
Laboratory Measurements ◽  
Linear Waves ◽  
Using Data

Applicability of extreme-value theory in predicting the maximum crest amplitude in runs of ocean waves is demonstrated using data from extensive computer simulations of random linear waves. Extension of the theory to include wave crests in heavy seas is also made within the context of Stokes nonlinearities. Results are confirmed with scaled laboratory measurements. [S0892-7219(00)00803-7]

Linear Waves

2014 ◽  
pp. 151-203
Author(s):  
Khanh Chau Le ◽  
Lu Trong Khiem Nguyen
Keyword(s):  
Linear Waves

Weakly non-linear waves in rotating fluids

1970 ◽  
Vol 42 (4) ◽  
pp. 803-822 ◽  
Author(s):  
S. Leibovich
Keyword(s):  
Differential Equation ◽  
Singular Perturbation ◽  
Vortex Breakdown ◽  
Vries Equation ◽  
Tube Wall ◽  
Rotating Fluids ◽  
Integro Differential Equation ◽  
Stationary Flows ◽  
Linear Waves ◽  
De Vries

The Korteweg–de Vries equation is shown to govern formation of solitary and cnoidal waves in rotating fluids confined in tubes. It is proved that the method must fail when the tube wall is moved to infinity, and the failure is corrected by singular perturbation procedures. The Korteweg–de Vries equation must then give way to an integro-differential equation. Also, critical stationary flows in tubes are considered with regard to Benjamin's vortex breakdown theories.

Linear Waves

2017 ◽  
pp. 535-556
Author(s):  
Jakob J Stamnes
Keyword(s):  
Linear Waves
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