Reliable damping of free-surface waves in numerical simulations

Landau Damping of Surface Plasma Waves

The integral of the kinetic electrostatic surface wave dispersion relation is asymptotically evaluated to determine the frequencies of the normal modes and the corresponding Landau damping for the high frequency surface electron plasma wave and the low frequency surface ion acoustic wave. The asymptotically calculated Landau damping rates apply to the limiting cases of kx e <<1 and kx e >>1 whe...

Numerical simulations of free surface flows on adaptive cartesian grids

The paper studies a method for numerical simulation of free surface flows of viscous incompressible fluids. The approach is based on the level set method for capturing free surface evolution and features compact finite difference approximations of fluid and level set equations on locally refined and dynamically adapted octree cartesian grids. We consider in detail an extension of staggered grid...

‎Incompressible ‎smoothed particle hydrodynamics simulations on free surface flows

‎The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH)‎. ‎In the current ISPH method‎, ‎the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...

numerical simulations of spilling breaking waves

Capillary damping of inviscid surface waves in a circular cylinder

We consider the effect of a wetting condition at the moving contact line on the frequency and damping of surface waves on an inviscid liquid in a circular cylinder. The velocity potential φ and the free surface elevation η are sought as complex eigenfunction expansions. The φ eigenvalues are the classical ones whereas the η eigenvalues are unknown and have to be computed so as to satisfy the we...