Shock formation and spectrum alteration in spherically diverging finite amplitude waves

1981 ◽  
Vol 69 (S1) ◽  
pp. S80-S80
Author(s):  
Oliver H. McDaniel ◽  
Joseph P. Welz
Keyword(s):  
Finite Amplitude ◽  
Shock Formation ◽  
Finite Amplitude Waves

scholarly journals Finite-amplitude steady waves in plane viscous shear flows

1985 ◽  
Vol 160 ◽  
pp. 281-295 ◽  
Author(s):  
F. A. Milinazzo ◽  
P. G. Saffman
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Stokes Equations ◽  
Reynolds Numbers ◽  
Finite Amplitude ◽  
Linear Instability ◽  
Navier Stokes ◽  
Unidirectional Flow ◽  
Viscous Shear ◽  
Finite Amplitude Waves

Computations of two-dimensional solutions of the Navier–Stokes equations are carried out for finite-amplitude waves on steady unidirectional flow. Several cases are considered. The numerical method employs pseudospectral techniques in the streamwise direction and finite differences on a stretched grid in the transverse direction, with matching to asymptotic solutions when unbounded. Earlier results for Poiseuille flow in a channel are re-obtained, except that attention is drawn to the dependence of the minimum Reynolds number on the physical constraint of constant flux or constant pressure gradient. Attempts to calculate waves in Couette flow by continuation in the velocity of a channel wall fail. The asymptotic suction boundary layer is shown to possess finite-amplitude waves at Reynolds numbers orders of magnitude less than the critical Reynolds number for linear instability. Waves in the Blasius boundary layer and unsteady Rayleigh profile are calculated by employing the artifice of adding a body force to cancel the spatial or temporal growth. The results are verified by comparison with perturbation analysis in the vicinity of the linear-instability critical Reynolds numbers.

Reflection of finite‐amplitude waves in a parametric array

1977 ◽  
Vol 62 (2) ◽  
pp. 271-276 ◽  
Author(s):  
T. G. Muir ◽  
L. L. Mellenbruch ◽  
J. C. Lockwood)
Keyword(s):  
Finite Amplitude ◽  
Parametric Array ◽  
Finite Amplitude Waves

Finite amplitude waves in ion-beam plasma systems

1994 ◽  
Vol 190 (5-6) ◽  
pp. 460-464 ◽  
Author(s):  
S.I. Popel ◽  
Klaus Elsässer
Keyword(s):  
Ion Beam ◽  
Finite Amplitude ◽  
Beam Plasma ◽  
Finite Amplitude Waves
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