Bohorquez, PatricioRentschler, Martin2011-12-162011-12-162011-12-16201110.1007/s10915-010-9444-4https://infoscience.epfl.ch/handle/20.500.14299/73919WOS:000291952300002We report the developments of hydrodynamic instabilities in several well-balanced finite volume schemes that are observed during the computation of the temporal evolution of an out-balance flow which is essentially a kinematic wave. The numerical simulations are based on the one-dimensional shallow-water equations for a uniformly sloping bed with hydraulic resistance. Subsequently, we highlight the need of low dissipative high-order well-balanced filter schemes for non-equilibrium flows with variable cut-off wavenumber to compute the out-balance flow under consideration, i.e. the kinematic wave.One layer shallow waterKinematic waveRoll wavesWENO schemesCompact filterHigh-Ordertext::journal::journal article::research article