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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.
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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}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{MSc Theses}},
  title        = {{Physics Based Wave Generation for the Shallow Water Equations}},
  year         = {{2003}},
}