Discussion of “Direct Solution of Wave Dispersion Equation”

1980 ◽  
Vol 106 (4) ◽  
pp. 501-502
Author(s):  
Giulio Venezian
Keyword(s):  
Dispersion Equation ◽  
Wave Dispersion ◽  
Direct Solution

Numerical Calculation for Complex Transcendental Equation

2012 ◽  
Vol 229-231 ◽  
pp. 1976-1979
Author(s):  
Tie Lin Sun ◽  
Hui Sun
Keyword(s):  
Numerical Calculation ◽  
Dispersion Equation ◽  
Elastic Plate ◽  
Fast Algorithm ◽  
Lamb Wave ◽  
Traditional Method ◽  
Wave Dispersion ◽  
Transcendental Equation ◽  
Fast Calculation

The traditional method to calculate complex transcendental equation is poor, which can't meet requirements of calculating imaginary answer and fast calculation at the same time. This paper proposes "modified dichotomy method" through modifying the classical dichotomy method to solve complex transcendental equation, that can not only calculates imaginary answer but also calculates fast. Algorithm is also verified through comparing with the answer to lamb wave dispersion equation in elastic plate.

Padé coefficients for the solution of the wave dispersion equation under ice

1984 ◽  
Vol 11 (3) ◽  
pp. 211-226
Author(s):  
V.M. Arunachalam ◽  
O. Grande ◽  
D.B. Muggeridge
Keyword(s):  
Dispersion Equation ◽  
Wave Dispersion

A New Wave Dispersion Equation: Effects of Soil Characteristics

2001 ◽  
Vol 123 (4) ◽  
pp. 177-181 ◽  
Author(s):  
D. S. Jeng
Keyword(s):  
Dispersion Equation ◽  
Wave Dispersion ◽  
Wave Number ◽  
New Wave ◽  
Soil Response ◽  
Wave Pressure ◽  
Wave Characteristics ◽  
Wave Effects ◽  
Closed Form Analytical Solution ◽  
Wave Induced

The evaluation of wave characteristics has been widely studied by ocean engineers in the past. However, conventional investigations for determining wave characteristics have been focused on the nonlinear wave effects in a rigid seabed. On the other hand, most previous investigations for the wave-induced seabed response in a porous seabed have been only concerned with the soil response after wave pressure penetrate into seabed. In this paper, employing a complex wave number, the whole wave-seabed interaction problem will be re-examined. Based on the new closed-form analytical solution, a new wave dispersion equation is derived, including the seabed characteristics. The numerical results indicate that the wave characteristics (such as the wavelength, wave pressure and wave profile) are affected by the soil permeability and shear modulus in a shallow water.

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