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Mathematical Optimization of Water Networks / edited by Alexander Martin, Kathrin Klamroth, Jens Lang, Günter Leugering, Antonio Morsi, Martin Oberlack, Manfred Ostrowski, Roland Rosen
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: International Series of Numerical Mathematics ; 162 | SpringerLink BücherPublisher: Basel : Birkhäuser, 2012Description: Online-Ressource (XIV, 196 p. 106 illus., 24 illus. in color, digital)ISBN:- 9783034804363
- 1283625059
- 9781283625050
- 628.1/44015118 23
- 519.6
- QA402.5-402.6
Contents:
Summary: Part I Optimization of Water Supply Networks -- Modelling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems -- Simulation and Continuous Optimization -- Mixed Integer Optimizationof Water Supply Networks -- Nonlinear and Mixed Integer Linear Programming -- Part II Optimal Control of Sewer Networks -- Optimal Control of Sewer Networks Problem Description -- Modelling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows -- Optimal Control of Sewer Networks Engineers View -- Real-Time Control of Urban Drainage Systems -- Performance and Comparison of BlueM.MPC and Lamatto -- Multicriteria Optimization in Wastewater Management.Summary: Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand. According to their size, water networks consist of hundreds or thousands of system elements. Moreover, different types of decisions (continuous and discrete) have to be taken in the water management. The networks have to be optimized in terms of topology and operation by targeting a variety of criteria. Criteria may for example be economic, social or ecological ones and may compete with each other. The development of complex model systems and their use for deriving optimal decisions in water management is taking place at a rapid pace. Simulation and optimization methods originating in Operations Research have been used for several decades; usually with very limited direct cooperation with applied mathematics. The research presented here aims at bridging this gap, thereby opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has been carried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and direct connection to the practice of water management has been established by involving application-oriented know-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamic transportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project „Discret-continuous optimization of dynamic water systems“ of the federal ministry of education and research (BMBF).PPN: PPN: 165154171XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
Mathematical Optimization of Water Networks; Preface; Acknowledgements; Contents; Contributors; Part I: Optimization of Water Supply Networks; Chapter 1: Modeling and Numerical Simulation of Pipe Flow Problems in Water Supply Systems; 1.1 Introduction; 1.2 Example of a Water Supply System; 1.3 Modeling Equations; 1.3.1 Free Surface Flow; 1.3.2 Pressure Flow; 1.3.3 Storage Tanks, Pumps and Valves; 1.4 Numerical Solution; 1.4.1 Method of Lines; 1.4.2 Space Discretization; 1.4.3 Implementation of Boundary and Coupling Conditions; 1.4.4 Solution of the Differential Algebraic Equations
1.5 Simulation Results and ConclusionsReferences; Chapter 2: Simulation and Continuous Optimization; 2.1 Numerical Solution of the Model Equations; 2.1.1 Network Equations; 2.1.2 Properties of the Water Hammer Equations; 2.1.3 Implicit Box Scheme; 2.2 Adjoint Calculus; 2.2.1 The First-Discretize Approach; 2.2.2 Application to Time-Dependent Problems; 2.3 Singularities; 2.3.1 Introduction; 2.3.2 Theoretical Analysis-Forward Direction; 2.3.3 Theoretical Analysis-Backward Direction; References; Chapter 3: Mixed Integer Optimization of Water Supply Networks; 3.1 Introduction
3.2 Basic Network Model3.3 Flow in Pipelines; 3.4 A Model for Dynamic Water Supply Network Optimization; 3.4.1 Pipes; 3.4.2 Tanks; 3.4.3 Pumps; 3.4.4 Valves; 3.4.5 Flow Conservation; 3.4.6 Further Transient Conditions; 3.4.7 Optimization Task; 3.5 Piecewise Linearization; 3.5.1 Mixed Integer Model of a Univariate Piecewise Linearization; 3.5.2 Mixed Integer Model of a Multivariate Piecewise Linearization; 3.6 Computational Results; 3.6.1 Network 1; 3.6.2 Network 2; 3.7 Conclusion; References; Chapter 4: Nonlinear and Mixed Integer Linear Programming; 4.1 Introduction; 4.2 Heuristic Approach
4.3 Results for the Meso Network4.4 Results for a Municipal Water Supply Network; 4.5 Conclusion; References; Part II: Optimal Control of Sewer Networks; Chapter 5: Optimal Control of Sewer Networks Problem Description; 5.1 Introduction; 5.2 Technical Principles; 5.2.1 Dynamic Flow Routing Modeling; 5.2.2 Model Predictive Control; Receding Horizon; Process Model; Optimization; Setup of MPC Software; 5.3 Applications of MPC; 5.4 An Industrial Viewpoint; 5.4.1 SIWA Sewer Management System; 5.4.2 Industrial Requirements and Mathematical Challenges; 5.5 Practical Relevance and Research Demand
ReferencesChapter 6: Modeling of Channel Flows with Transition Interface Separating Free Surface and Pressurized Channel Flows; 6.1 Introduction; 6.2 Basic Equations; 6.2.1 Free Surface Flow; 6.2.2 Shock Waves; 6.2.3 Pressurized Flow; 6.3 Review of Existing Flow Regime Transition Models; 6.3.1 Rigid Column Technique; 6.3.2 Preissmann Slot Technique; 6.3.3 Shock Fitting Method; 6.4 A New Flow Regime Transition Model; 6.5 Discontinuous Galerkin Scheme for Numerical Simulation of the Shallow Water Equations; 6.6 Numerical Formulation of Fluxes; 6.7 Numerical Stability and Limiters
6.8 Test Problems and Numerical Results
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