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The energy gradient method is used to analyze the turbulent generation in the transition boundary layer flow. It is found that the maximum of the energy gradient function occurs at the wall for the Blasius boundary layer flow. At this…

流体动力学 · 物理学 2009-11-13 Hua-Shu Dou , Boo Cheong Khoo

In this paper, we propose and test an intuitive assumption that the pressure field in single conduits and networks of interconnected conduits adjusts itself to minimize the total energy consumption required for transporting a specific…

流体动力学 · 物理学 2014-08-05 Taha Sochi

Transferring a physical system from an initial to a final state while minimizing energetic losses is an interdisciplinary control problem that bridges stochastic thermodynamics and optimal transport theory. Recent research typically…

统计力学 · 物理学 2026-02-23 Jann van der Meer , Andreas Dechant

Power losses in electrical power systems especially, distribution systems, occur due to several environmental and technical factors. Transmission & Distribution line losses are normally 17% and 50% respectively. These losses are due to the…

系统与控制 · 电气工程与系统科学 2023-07-13 Umar Jamil

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

系统与控制 · 计算机科学 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We revisit the classical problem of diffusion-limited ion transport to a membrane (or electrode) by considering the effects of charged side walls. Using simple mathematical models and numerical simulations, we identify three basic…

流体动力学 · 物理学 2015-05-30 E. Victoria Dydek , Boris Zaltzman , Isaak Rubinstein , D. S. Deng , Ali Mani , Martin Z. Bazant

The ubiquitous expansion and transformation of the energy supply system involves large-scale power infrastructure construction projects. In the view of investments of more than a million dollars per kilometre, planning authorities aim to…

最优化与控制 · 数学 2021-02-02 Nina Wiedemann , David Adjiashvili

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

最优化与控制 · 数学 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

In many plasma systems, introducing a small background shear flow is enough to stabilize the system linearly. The nonlinear dynamics are much less sensitive to sheared flows than the average linear growthrates, and very small amplitude…

等离子体物理 · 物理学 2018-01-17 Chris C. T. Pringle , Ben F. McMillan , Bogdan Teaca

We derive a class of equations describing low Reynolds number steady flows of incompressible and viscous fluids in networks made of straight channels, with several sources and sinks, and adaptive conductivities. The flow is controlled by…

流体动力学 · 物理学 2021-12-01 Rodrigo Almeida , Rui Dilão

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,…

物理与社会 · 物理学 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa

Mode connectivity is a surprising phenomenon in the loss landscape of deep nets. Optima -- at least those discovered by gradient-based optimization -- turn out to be connected by simple paths on which the loss function is almost constant.…

机器学习 · 计算机科学 2020-01-07 Rohith Kuditipudi , Xiang Wang , Holden Lee , Yi Zhang , Zhiyuan Li , Wei Hu , Sanjeev Arora , Rong Ge

A relation between the effective diffusion coefficient in a lattice with random site energies and random trasition rates and the macroscopic conductivity in a random resistor network allows for elucidating possible sources of anomalous…

统计力学 · 物理学 2012-05-14 Federico Camboni , Igor M. Sokolov

A linear non-modal mechanism for transient amplification of perturbation energy is known to trigger sub-critical transition to turbulence in many shear flows. Feedback control strategies for minimizing this transient energy growth can be…

流体动力学 · 物理学 2019-07-04 Aniketh Kalur , Maziar S. Hemati

A case study in bifurcation and stability analysis is presented, in which reduced dynamical system modelling yields substantial new global and predictive information about the behaviour of a complex system. The first smooth pathway, free of…

等离子体物理 · 物理学 2007-05-23 R. Ball

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

最优化与控制 · 数学 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Particles in pressure-driven channel flow are often inhomogeneously distributed. Two modes of low-Reynolds number instability, absent in Poiseuille flow of clean fluid, are created by inhomogeneous particle loading, and their mechanism is…

流体动力学 · 物理学 2024-11-27 Anup Kumar , Rama Govindarajan

Properties of networks are often characterized in terms of features such as node degree distributions, average path lengths, diameters, or clustering coefficients. Here, we study shortest path length distributions. On the one hand, average…

社会与信息网络 · 计算机科学 2015-01-20 Christian Bauckhage , Kristian Kersting , Fabian Hadiji

Deregulated energy markets, demand forecasting, and the continuously increasing share of renewable energy sources call---among others---for a structured consideration of uncertainties in optimal power flow problems. The main challenge is to…

最优化与控制 · 数学 2018-08-24 Tillmann Mühlpfordt , Timm Faulwasser , Veit Hagenmeyer

We investigate how the underlying graph of a network supports a flow between a source node and a destination node and propose to compute the expected number of nodes and links that contribute to transferring items in random graphs. Since…

数学物理 · 物理学 2026-03-04 Zhihao Qiu , Xinhan Liu , Rogier Noldus , Piet Van Mieghem