Engineering topics
Publications and source records attributed to Pereira, N. R..
Numerical solutions of a damped, nonlinear wave equation are presented. The equation describes the propagation of waves in a narrow thermocline or inversion which lose energy by exciting internal waves in the weakly stratified ambient environment. The results provide estimates for the persistence of finite-amplitude internal waves propagating in a thermoclinic waveguide.
Attention is given to the Benjamin-Ono equation for waves within a stratified fluid, i.e., internal waves. Numerical computations indicate soliton-like behavior since solitary waves pass through each other upon collision. In addition, two and three Lorentzian solitons are noted to pass through one another. An initial Lorentzian having an amplitude larger than soliton amplitude is observed to decay into solitons. The velocities of these solitons may be predicted by conservation laws. Future work will be directed toward determining exact solutions.