Abstract
This paper describes the characterisitics of rollwaves in equilibrium condition. Numerical simulations of roll waves are conducted by using shallow flow equations. It is found that rollwaves develop downstream and are finally held in dynamic equilibrium, where they have various wave length and wave height. It is obtained the results that there are some region of cycles where rollwaves are formed at almost constat wavelength and wave height under the conditions that disturbances with constant cycles are given.
Non-linear stability analysis of rollwaves is also carried out, assuming that they are composed of first, second and third order mode of the fundamental wave number. It is showed that the stability domain of wave number appear, when second and third order mode of the fundamental wave number are considerd. It was found that the characterisitics in this domain qualititavely correspond to the results of numerical simulation.
