Complex ray theory applied to instability of a two-dimensional wake

2020 ◽  
Vol 52 (4) ◽  
pp. 045509
Author(s):  
Nobutake Itoh
2007 ◽  
Vol 46 (22) ◽  
pp. 5216 ◽  
Author(s):  
Dorota Korte Kobylińska ◽  
Roman J. Bukowski ◽  
Boguslaw Burak ◽  
Jerzy Bodzenta ◽  
Stanislaw Kochowski

1990 ◽  
Vol 29 (21) ◽  
pp. 3096 ◽  
Author(s):  
Takato Kudou ◽  
Mitsuhiro Yokota ◽  
Otozo Fukumitsu
Keyword(s):  

2006 ◽  
Vol 100 (6) ◽  
pp. 063501 ◽  
Author(s):  
Dorota Korte Kobylińska ◽  
Roman J. Bukowski ◽  
Bogusław Burak ◽  
Jerzy Bodzenta ◽  
Stanisław Kochowski

1993 ◽  
Vol 254 ◽  
pp. 401-416 ◽  
Author(s):  
D. Nicolaou ◽  
R. Liu ◽  
T. N. Stevenson

The way in which energy propagates away from a two-dimensional oscillatory disturbance in a thermocline is considered theoretically and experimentally. It is shown how the St. Andrew's-cross-wave is modified by reflections and how the cross-wave can develop into thermocline waves. A linear shear flow is then superimposed on the thermocline. Ray theory is used to evaluate the wave shapes and these are compared to finite-difference solutions of the full Navier–Stokes equations.


1999 ◽  
Vol 385 ◽  
pp. 1-20 ◽  
Author(s):  
PHOOLAN PRASAD ◽  
K. SANGEETA

The propagation of a two-dimensional weakly nonlinear wavefront into a polytropic gas in a uniform state and at rest has been studied. Successive positions of the wavefront and the distribution of amplitude on it are obtained by solving a system of conservation forms of the equations of weakly nonlinear ray theory (WNLRT) using a TVB scheme based on the Lax–Friedrichs flux. The predictions of the WNLRT are found to be qualitatively quite different from the predictions of the linear theory. The linear wavefronts leading to the formation of caustics are replaced by nonlinear wavefronts with kinks. By varying the initial shape of the wavefront and the amplitude distribution on it, the formation and separation of kinks on the wavefront has been studied.


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