Physics Based Wave Generation for the Shallow Water Equations
(2003) In MSc ThesesDepartment 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:
http://lup.lub.lu.se/student-papers/record/8848100
- author
- Nilsson, Oskar
- supervisor
- organization
- year
- 2003
- 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}}, }