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We extend the canonical problems of simulation and optimization of steady-state gas flows in pipeline networks with compressors to the transport of mixtures of highly heterogeneous gases injected throughout a network. Our study is motivated…

Optimization and Control · Mathematics 2022-12-05 Saif R. Kazi , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik

We study the dynamics of flow-networks in porous media using a pore-network model. First, we consider a class of erosion dynamics assuming a constitutive law depending on flow rate, local velocities, or shear stress at the walls. We show…

Fluid Dynamics · Physics 2022-06-22 Ahmad Zareei , Deng Pan , Ariel Amir

Consider a simple finite graph and its nodes to represent identical water barrels (containing different amounts of water) on a level plane. Each edge corresponds to a (locked, water-filled) pipe connecting two barrels below the plane. We…

Combinatorics · Mathematics 2025-01-29 Timo Vilkas

We examine the modeling, simulation, and optimization of district heating systems, which are widely used for thermal transport using steam or hot water as a carrier. We propose a generalizable framework to specify network models and…

Optimization and Control · Mathematics 2024-04-30 Sai Krishna K. Hari , Anatoly Zlotnik , Shriram Srinivasan , Kaarthik Sundar , Mary Ewers

We present a decision support system for flood early warning and disaster management. It includes the models for data-driven meteorological predictions, for simulation of atmospheric pressure, wind, long sea waves and seiches; a module for…

Computational Engineering, Finance, and Science · Computer Science 2014-01-31 V. V. Krzhizhanovskaya , N. B. Melnikova , A. M. Chirkin , S. V. Ivanov , A. V. Boukhanovsky , P. M. A. Sloot

In this work we consider a flow network for which the goal is to solve a practical optimal regulation problem in the presence of input saturation. Based on Lyapunov arguments we propose distributed controllers which guarantee global…

Optimization and Control · Mathematics 2016-06-28 Tjardo Scholten , Claudio De Persis , Pietro Tesi

In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross…

Analysis of PDEs · Mathematics 2013-02-04 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

We propose a simple model to analyze the traffic of droplets in microfluidic ``dual networks''. Such functional networks which consist of two types of channels, namely those accessible or forbidden to droplets, often display a complex…

Fluid Dynamics · Physics 2008-01-30 M. Schindler , A. Ajdari

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

We investigate a two-dimensional network simulator capable of modeling different time dependencies in two-phase drainage displacements. In particular, we focus on the temporal evolution of the pressure due to capillary and viscous forces…

Fluid Dynamics · Physics 2008-02-03 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen , G. George Batrouni

This paper explores a variety of strategies for understanding the formation, structure, efficiency and vulnerability of water distribution networks. Water supply systems are studied as spatially organized networks for which the practical…

Physics and Society · Physics 2011-04-04 A. Yazdani , P. Jeffrey

We tackle the question of whether the presence of particles in a pipe flow can influence the linear transient growth of infinitesimal perturbations, in view of better understanding the behaviour of particulate pipe flows in regimes of…

Fluid Dynamics · Physics 2019-03-26 Anthony Rouquier , Alban Potherat , Chris C. T. Pringle

We present a unified method, based on convex optimization, for managing the power produced and consumed by a network of devices over time. We start with the simple setting of optimizing power flows in a static network, and then proceed to…

Optimization and Control · Mathematics 2019-03-18 Nicholas Moehle , Enzo Busseti , Stephen Boyd , Matt Wytock

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

Fluid Dynamics · Physics 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

One-dimensional models are presented for transitional shear flows. The models have two variables corresponding to turbulence intensity and mean shear. These variables evolve according to simple equations based on known properties of…

Fluid Dynamics · Physics 2015-05-28 Dwight Barkley

The problem of maximizing the information flow through a sensor network tasked with an inference objective at the fusion center is considered. The sensor nodes take observations, compress and send them to the fusion center through a network…

Optimization and Control · Mathematics 2019-10-28 Aditya Deshmukh , Jing Liu , Venugopal V. Veeravalli , Gunjan Verma

Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

Computational Physics · Physics 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

The development of microfluidic devices has recently revived the interest in "old" problems associated with transport at, or across, interfaces. As the characteristic sizes are decreased, the use of pressure gradients to transport fluids…

Materials Science · Physics 2016-08-16 Lydéric Bocquet , J. -L. Barrat

Sequential Model-based Bayesian Optimization has been successful-ly applied to several application domains, characterized by complex search spaces, such as Automated Machine Learning and Neural Architecture Search. This paper focuses on…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Antonio Candelieri , Bruno Galuzzi , Ilaria Giordani , Francesco Archetti

A study of the the main features of low- and high amplitude steady streamwise wall transpiration applied to pipe flow is presented. The effect of the two transpiration parameters, amplitude and wavenumber, on the flow have been investigated…

Fluid Dynamics · Physics 2016-06-16 F Gómez , HM Blackburn , M Rudman , AS Sharma , BJ McKeon