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Real-Time Control of Urban Drainage Systems
A hydrodynamic process model based on shallow water equations is discretized on 1D-networks with the method of finite volumes. Based on the finite volumes we replace algebraic coupling conditions by a consistent finite volume junction model. We use discrete adjoint computation for one step Runge-Kutta schemes to generate fast and robust gradients for descent methods. We use the descent methods to generate an optimal control for an example network and discuss the computational results.
Real-Time Control of Urban Drainage Systems
A hydrodynamic process model based on shallow water equations is discretized on 1D-networks with the method of finite volumes. Based on the finite volumes we replace algebraic coupling conditions by a consistent finite volume junction model. We use discrete adjoint computation for one step Runge-Kutta schemes to generate fast and robust gradients for descent methods. We use the descent methods to generate an optimal control for an example network and discuss the computational results.
Real-Time Control of Urban Drainage Systems
Int.Series Numerical Math.(Birkhäuser)
Martin, Alexander (editor) / Klamroth, Kathrin (editor) / Lang, Jens (editor) / Leugering, Günter (editor) / Morsi, Antonio (editor) / Oberlack, Martin (editor) / Ostrowski, Manfred (editor) / Rosen, Roland (editor) / Hild, Johannes (author) / Leugering, Günter (author)
2012-04-13
22 pages
Article/Chapter (Book)
Electronic Resource
English
Urban Drainage Systems , Shallow Water Equations , Step Runge-Kutta Scheme , Finite Volume Element , General Flux Functions Mathematics , Optimization , Water Industry/Water Technologies , Computational Mathematics and Numerical Analysis , Calculus of Variations and Optimal Control; Optimization , Mathematics, general , Mathematics and Statistics
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