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Real-Time Control of Urban Drainage Systems

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Mathematical Optimization of Water Networks

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 162))

Abstract

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.

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Correspondence to Günter Leugering .

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© 2012 Springer Basel

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Hild, J., Leugering, G. (2012). Real-Time Control of Urban Drainage Systems. In: Martin, A., et al. Mathematical Optimization of Water Networks. International Series of Numerical Mathematics, vol 162. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0436-3_8

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