W pracy wykazano, że uproszczone modele fal wezbraniowych w postaci fali kinematycznej reprezentują w przypadku liniowych zarówno zasadę zachowania masy jaki i pędu, natomiast w przypadku nieliniowym, reprezentują albo zasadę zachowania masy albo pędu, zależnie od postaci zachowawczej równania. Ponadto wykazano, iż nieliniowa fala dyfuzyjna nie spełnia ani całkowowej zasady zachowania masy ani pędu.

We consider solution of 2D nonlinear diffusive wave equation in a domain temporarily covered by a layer of water. A modified finite element method with triangular elements and linear shape functions is used for spatial discretization. The proposed modification refers to the procedure of spatial integration and leads to a more general algorithm involving a weighting parameter. The standard finite element method and the finite difference...

In the paper a solution of two-dimensional (2D) nonlinear diffusive wave equation in a partially dry and wet domain is considered. The splitting technique which allows to reduce 2D problem into the sequence of one-dimensional (1D) problems is applied. The obtained 1D equations with regard to x and y are spatially discretized using the modified finite element method with the linear shape functions. The applied modification referring...