scholarly journals Non-linear wave interaction in a plasma column

1979 ◽  
Vol 46 (6) ◽  
pp. 577-594 ◽  
Author(s):  
J.-M. LARSEN† ◽  
F. W. CRAWFORD
1971 ◽  
Vol 6 (1) ◽  
pp. 53-72 ◽  
Author(s):  
J. J. Galloway ◽  
H. Kim

In this paper, the coupled-mode equations and coupling coefficients for three-wave interaction are derived by a Lagrangian approach for a general medium. A derivation of the Low Lagrangian for a warm plasma is then given, which avoids certain problems associated with the original analysis. An application of the Lagrangian method is made to interaction between collinearly-propagating electrostatic waves, and a coupling coefficient is derived which agrees with a previous result obtained by direct expansion of the non-linear equations. The paper serves primarily to present and demonstrate a conceptually useful and efficient theoretical approach to non-linear wave interactions.


Author(s):  
J. Zang ◽  
R. Gibson ◽  
P. H. Taylor ◽  
R. Eatock Taylor ◽  
C. Swan

The objective of this research, part of the FP5 REBASDO Programme, is to examine the effects of directional wave spreading on the nonlinear hydrodynamic loads and the wave run-up around the bow of a floating vessel (FPSO) in random seas. In this work, the non-linear wave scattering problem is solved by employing a quadratic boundary element method. An existing scheme (DIFFRACT developed in Oxford) has been extended to deal with uni-directional and directional bi-chromatic input wave systems, calculating second-order wave diffraction under regular waves and focused wave groups. The second order wave interaction with a floating vessel in a unidirectional focused wave group is presented in this paper. Comparison of numerical results and the experimental measurements conducted at Imperial College shows excellent agreement. The second-order free surface components at the bow of the ship are very significant, and cannot be neglected if one requires accurate prediction of the wave-structure interaction; otherwise a major underestimation of the wave impact on the structure could occur.


2008 ◽  
Vol 57 (10) ◽  
pp. 1459-1483 ◽  
Author(s):  
D. Z. Ning ◽  
J. Zang ◽  
Q. Liang ◽  
P. H. Taylor ◽  
A. G. L. Borthwick

1979 ◽  
Vol 47 (4) ◽  
pp. 335-347 ◽  
Author(s):  
J. -M. LARSEN ◽  
F. W. CRAWFORD

1968 ◽  
Vol 10 (10) ◽  
pp. 931-937 ◽  
Author(s):  
S Krishan ◽  
A A Selim

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