Skip to main content

LUP Student Papers

LUND UNIVERSITY LIBRARIES

Physics Based Wave Generation for the Shallow Water Equations

Nilsson, Oskar (2003) In MSc Theses
Department of Automatic Control
Abstract
In this report we study systems governed by the Saint-Venant shallow water equations interacting with boundary conditions including control. We derive closed form formulas for the open-loop behavior. These formulas rely on first, second and third order approximations which are based on a perturbation that we develop. Properties of these solutions are studied and comparisons with existing non-linear solver solutions are carried out. The main advantage of our methodology is to provide computation efficient formulas that can be implemented for real-time calculations.
Please use this url to cite or link to this publication:
author
Nilsson, Oskar
supervisor
organization
year
type
H3 - Professional qualifications (4 Years - )
subject
keywords
Shallow water equations. Hyperbolic PDEs. Tank problem.
publication/series
MSc Theses
report number
TFRT-5710
ISSN
0280-5316
language
English
id
8848100
date added to LUP
2016-03-19 17:34:08
date last changed
2016-03-19 17:34:08
@misc{8848100,
  abstract     = {In this report we study systems governed by the Saint-Venant shallow water equations interacting with boundary conditions including control. We derive closed form formulas for the open-loop behavior. These formulas rely on first, second and third order approximations which are based on a perturbation that we develop. Properties of these solutions are studied and comparisons with existing non-linear solver solutions are carried out. The main advantage of our methodology is to provide computation efficient formulas that can be implemented for real-time calculations.},
  author       = {Nilsson, Oskar},
  issn         = {0280-5316},
  keyword      = {Shallow water equations. Hyperbolic PDEs. Tank problem.},
  language     = {eng},
  note         = {Student Paper},
  series       = {MSc Theses},
  title        = {Physics Based Wave Generation for the Shallow Water Equations},
  year         = {2003},
}