Mathematical optimization of water networks
Alexander Martin ... [et al.], editors
Bok Engelsk 2012 Alexander. Martin,· Electronic books.
| Annen tittel | |
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| Utgitt | Basel : Birkhäuser , c2012
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| Omfang | xiv, 196 s. : ill.
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| Opplysninger | Description based upon print version of record.. - 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. - 6.8 Test Problems and Numerical Results. - 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. - 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, soci
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| Emner | |
| Sjanger | |
| Dewey | 333.910015118 . - 519.6
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| ISBN | 3-0348-0435-0. - 3-0348-0785-6
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