Abstract
AbstractA numerical method is presented to accurately simulate paddle-generated impulse waves. An order-one implicit splitting scheme allows advection and diffusion phenomena to be decoupled. Advec...
Highlights
Impulse waves in natural lakes or reservoirs are generated by landslides or avalanches and may lead to great damage in Alpine valleys (Miller 1960; Schnitter and Weber 1964; Fuchs and Boes 2010; Brideau et al 2012; Carey et al 2012)
Plane impulse waves have been investigated at the Laboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zurich, leading to a general description of the wave generation and propagation processes used to predict the main wave features as a function of the governing slide impact parameters
A paddle-generated wave in a tilted 3D cavity was used as a benchmark to determine the accuracy of the numerical scheme for solving free surface flows governed by the Navier–Stokes equations (NSEs)
Summary
Impulse waves in natural lakes or reservoirs are generated by landslides or avalanches and may lead to great damage in Alpine valleys (Miller 1960; Schnitter and Weber 1964; Fuchs and Boes 2010; Brideau et al 2012; Carey et al 2012). Transport of the volume fraction of liquid φ and of the velocity v is performed on an adaptive octree grid using a semi-Lagrangian scheme, enabling CFL numbers larger than 1. Interpolation from tetrahedral mesh to octree; the neighboring tetrahedra (shown here as triangles) of cell C, shown in dashed lines, are involved in the interpolation known at time step tn, which defines Ωn 1⁄4 fx ∈ Λ; φnðxÞ 1⁄4 1g, the approximation of ΩðtnÞ, the liquid domain at time tn.
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