A numerical investigation on impulse-induced nonlinear longitudinal waves in pantographic beams

Nonlinear Longitudinal Waves in High Energy Stored Beams

We solve the Vlasov equation for the longitudinal distribution function and nd stationary wave patterns when the distribution in the energy error is Maxwellian. In the long wavelength limit a stability criterion for linear waves has been obtained and a Korteweg-de VriesBurgers equation for the relevant hydrodynamic quantities has been derived. Paper presented at Workshop on Instabilities of Hig...

On Nonlinear Water Waves in a Channel

Longitudinal Waves in High Energy Stored Beams ∗

We solve the Vlasov equation for the longitudinal distribution function and find stationary wave patterns when the distribution in the energy error is Maxwellian. In the long wavelength limit a stability criterion for linear waves has been obtained and a Korteweg-de VriesBurgers equation for the relevant hydrodynamic quantities has been derived. Paper presented at Workshop on Instabilities of H...

Analytical and numerical investigation of nonlinear internal gravity waves

The propagation of long, weakly nonlinear internal waves in a stratified gas is studied. Hydrodynamic equations for an ideal fluid with the perfect gas law describe the atmospheric gas behaviour. If we neglect the term ρ dw/dt (product of the density and vertical acceleration), we come to a so-called quasistatic model, while we name the full hydrodynamic model as a nonquasistatic one. Both quas...

Numerical Calculations of Ship Induced Waves

Nowadays, various numerical methods are developed to extend computational fluid dynamics in engineering applications. One of the most useful methods in free surface modeling is Boundary Element Method (BEM). BEM is used to model inviscid fluid flow such as flow around ships. BEM solutions employ surface mesh at all of the boundaries. In order to model the linear free surface, BEM can be modifie...