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We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constituents, withdrawals, and control actions of compressors. This…

Optimization and Control · Mathematics 2023-05-23 Luke Baker , Saif R. Kazi , Rodrigo B. Platte , Anatoly Zlotnik

This paper investigates the control of flow networks, where the control objective is to regulate the measured output (e.g storage levels) towards a desired value. We present a distributed controller that dynamically adjusts the inputs and…

Systems and Control · Computer Science 2017-08-03 Sebastian Trip , Tjardo Scholten , Claudio De Persis

Although intensively studied in recent years, the optimization of the transient (time-dependent) control of large real-world gas networks is still out of reach for current state-of-the-art approaches. For this reason, we present further…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings

Pipe flow models are developed with a focus on their eventual use for feedback control design at the process control level, as opposed to the unit level, in gas processing facilities. Accordingly, linearized facility-scale models are…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Sven Brüggemann , Robert H. Moroto , Robert R. Bitmead

Numerous networks, such as transportation, distribution and delivery networks optimize their designs in order to increase efficiency and lower costs, improving the stability of its intended functions, etc. Networks that distribute goods,…

Physics and Society · Physics 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa

We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We introduce a local reference frame to take into account the…

Analysis of PDEs · Mathematics 2010-06-02 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

We present control-oriented models for transient dynamics of isothermal one-dimensional gas flow through multiple pipes in series and intersecting pipe geometries. These composite models subsume algebraic constraints that would otherwise…

Optimization and Control · Mathematics 2022-05-24 Sven Brüggemann , Robert R. Bitmead

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

Flow through passive porous media is typically described in terms of a linear theory relating current fluxes and driving forces, in the presence of a prescribed heterogeneous permeability. However, many porous systems such as glacial…

Statistical Mechanics · Physics 2015-04-08 Samuel A. Ocko , L. Mahadevan

We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by sufficiently accurate physical models taken from a hierarchy of…

Optimization and Control · Mathematics 2021-11-10 Pia Domschke , Oliver Kolb , Jens Lang

The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

Artificial Intelligence · Computer Science 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

Water distribution networks are hydraulic infrastructures that aim to meet water demands at their various nodes. Water flows through pipes in the network create nonlinear dynamics on networks. A desirable feature of water distribution…

Physics and Society · Physics 2019-11-13 Naoki Masuda , Fanlin Meng

Modeling how network-level traffic flow changes in the urban environment is useful for decision-making in transportation, public safety and urban planning. The traffic flow system can be viewed as a dynamic process that transits between…

Machine Learning · Computer Science 2022-11-22 Xiaoliang Lei , Hao Mei , Bin Shi , Hua Wei

This paper proposes a technique to identify individual pipe roughness parameters in a water distribution network by means of the inversion of the steady-state hydraulic network equations. By enabling the reconstruction of these hydraulic…

Systems and Control · Electrical Eng. & Systems 2019-11-13 Stefan Kaltenbacher , Martin Steinberger , Martin Horn

When considering a general system of equations describing the space-time evolution (flow) of one or several variables, the problem of the optimization over a finite period of time of a measure of the state variable at the final time is a…

Fluid Dynamics · Physics 2015-06-04 D. P. G. Foures , C. P. Caulfield , P. J. Schmid

Modern network systems, such as transportation and communication systems, are prone to cyber-physical disruptions and thus suffer efficiency loss. This paper studies network resiliency, in terms of throughput, and develops resilient control…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Yu Tang , Li Jin

The results of a combined experimental and numerical study of the flow in slowly diverging pipes are presented. Interestingly, an axisymmetric conical recirculation cell has been observed. The conditions for its existence and the length of…

Fluid Dynamics · Physics 2025-05-13 Jorge Peixinho , Hugues Besnard

Numerous complex systems, both natural and artificial, are characterized by the presence of intertwined supply and/or drainage networks. Here we present a minimalist model of such co-evolving networks in a spatially continuous domain, where…

Adaptation and Self-Organizing Systems · Physics 2021-07-08 Shashank Kumar Anand , Milad Hooshyar , Jan Martin Nordbotten , Amilcare Porporato

We present the formal derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipe. In the case of free surface incompressible flows, the \FS-model is formally obtained, using formal asymptotic…

Analysis of PDEs · Mathematics 2013-01-09 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi
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