The effect of small non-parallelism of the base flow on the stability of slightly curved mixing layers is analyzed in the present paper. Assuming that the instability wavelength is much smaller than the length scale of the variation of the base flow we derive an amplitude evolution equation using the method of multiple scales. The proposed asymptotic model provides connection between parallel f...

Debris flow runout poses a hazard to life and infrastructure. The expansion of human population into mountainous areas onto alluvial fans increases the need predict mitigate debris hazards. flows on unconfined can exhibit spontaneous self-channelization through levee formation that reduces lateral spreading extends distances compared unchannelized flows. Here we modify D-Claw shallow model in t...

This paper deals with the numerical simulation of flows of stratified fluids through channels with irregular geometry. Channel crosssections are supposed to be symmetric but not necessarily rectangular. The fluid is supposed to be composed of two shallow layers of immiscible fluids of constant densities, and the flow is assumed to be one-dimensional. Therefore, the equations to be solved are a ...

The nonlinear shallow-water equations are often used to model flow over topography In this paper we use these equations both analytically and numerically to study flow over two widely separated localised obstacles, and compare the outcome with the corresponding flow over a single localised obstacle. Initially we assume uniform flow with constant water depth, which is then perturbed by the obsta...

This paper deals with the problem of flood generation and propagation at catchment scale. The main aspect of the work is the use of 2D fully dynamic shallow water equations as tool of analysis for spatial and temporal overland flow evolution starting from an observed or predicted rain input. The paper firstly focuses on the model description. The governing equations and the numerical integratio...

[1] Mantle dynamics can strongly affect melting processes beneath spreading centers and volcanic arcs. A 2-D numerical model of the Tonga subduction zone, with the slab viscously coupled to the mantle beneath the brittleductile transition but faulted above, shows that induced corner flow may cause asymmetric melting at the Lau backarc spreading center, 400 km away. The down-going slab also entr...

We show how the port-Hamiltonian formulation of distributed parameter systems, which incorporates energy flow through the boundary of the spatial domain of the system, can be used to model networks of canals and study interconnections of such systems. We first formulate fluid flow with 1-d spatial variable whose dynamics are given by the well-known shallow water equations, with respect to a Sto...

In this work we study analytically and numerically the performance of the mean heave motion of an OWC coupled with the governing equation of the spreading ocean waves due to the wide variation in an open parabolic channel with constant depth. This paper considers that the ocean wave propagation is under the assumption of a shallow flow condition. In order to verify the effect of the waves in th...