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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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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DOI: https://doi.org/10.1007/978-3-0348-0436-3_8
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Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-0436-3
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