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Physics Colloquium: Efficient Numerical Methods for Water Waves in Unbounded Domains


Physics Colloquium: Efficient Numerical Methods for Water Waves in Unbounded Domains

Category: College Of Engineering - Phy
Date & Time: Wednesday, 10/24/2012
from 04:30 PM to 05:30 PM
Location: Larts 218
Admission: Free!
Contact: Robert Fisher
rfisher1@umassd.edu
508-999-8353
Description: Geri Izbicki

University of Michigan

Title : Efficient Numerical Methods for Water Waves in Unbounded Domains

Abstract: Water waves are often studied on unbounded domains--for example, when modeling flow around a vessel on an open sea. To be able to compute such solutions, the domain needs to be truncated to finite size. This is done by introducing an artificial boundary at some arbitrary (ideally, not too large) distance. Boundary conditions are then needed on the artificial boundary that mimic the unbounded domain and ideally make the boundary invisible to outgoing waves. In this talk, we derive an absorbing boundary for the linearization at zero of the water wave equation, based on a one-way version of the equation, which we impose in a layer near the artificial boundary. We discuss the one-way model, its numerical approximation, and present numerical results.

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