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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…

偏微分方程分析 · 数学 2013-01-09 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

This paper presents a method for modeling transient fluid flow in subsurface reservoir systems based on the developed neural operator architecture (TFNO-opt). Reservoir systems are complex dynamic objects with distributed parameters…

机器学习 · 计算机科学 2025-10-21 Daniil D. Sirota , Sergey A. Khan , Sergey L. Kostikov , Kirill A. Butov

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…

最优化与控制 · 数学 2019-03-18 Nicholas Moehle , Enzo Busseti , Stephen Boyd , Matt Wytock

When a fluid flows over a solid surface, it creates a thin boundary layer where the flow velocity is influenced by the surface through viscosity, and can transition from laminar to turbulent at sufficiently high speeds. Understanding and…

流体动力学 · 物理学 2024-10-24 Matthew Bonas , David H. Richter , Stefano Castruccio

A dynamic state estimation method of integrated natural gas and electric power systems (IGESs) in proposed. Firstly, the coupling model of gas pipeline networks and power systems by gas turbine units (GTUs) is established. Secondly, the…

信号处理 · 电气工程与系统科学 2022-01-19 Liang Chen , Xinxin Hui , Songlin Gu , Manyun Huang , Yang Li

Physics-informed neural networks (PINNs) are employed to solve the classical compressible flow problem in a converging-diverging nozzle. This problem represents a typical example described by the Euler equations, thorough understanding of…

流体动力学 · 物理学 2023-07-10 Liang Hong , Song Zilong , Zhao Chong , Bian Xin

To address the dual challenge of predicting multiphysics-induced instability and optimizing drilling fluid parameters for open-hole wellbores under long-term exposure, a high-fidelity system of coupled governing equations was developed.…

地球物理 · 物理学 2025-10-14 Yu Song , Zehua Song , Jin Yang , Kejin Chen , Kun Jiang , Jizhou Tang

We propose an adaptive optimization algorithm for operating district heating networks in a stationary regime. The behavior of hot water flow in the pipe network is modeled using the incompressible Euler equations and a suitably chosen…

最优化与控制 · 数学 2023-05-05 Hannes Dänschel , Volker Mehrmann , Marius Roland , Martin Schmidt

The calibration of a reservoir model with observed transient data of fluid pressures and rates is a key task in obtaining a predictive model of the flow and transport behaviour of the earth's subsurface. The model calibration task, commonly…

机器学习 · 计算机科学 2019-06-13 Lukas Mosser , Olivier Dubrule , Martin J. Blunt

The flow of gas through networks of pipes can be modeled by coupling hyperbolic systems of partial differential equations that describe the flow through the pipes that form the edges of the graph of the network by algebraic node conditions…

偏微分方程分析 · 数学 2023-03-01 Martin Gugat , Jan Giesselmann , Teresa Kunkel

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

统计力学 · 物理学 2017-03-28 Rubén Gómez González , Vicente Garzó

The solution of potential-driven steady-state flow in large networks is a task which manifests in various engineering applications, such as transport of natural gas or water through pipeline networks. The resultant system of nonlinear…

数值分析 · 数学 2025-01-23 Shriram Srinivasan , Kaarthik Sundar

We introduce thermodynamic networks, a general framework for autonomous, physics-based computation using non-equilibrium steady states. These networks are modeled as a collection of finite-size reservoirs that exchange conserved…

In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the…

计算物理 · 物理学 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin

The solution of a momentum conservation equation for the gas and liquid stream in the flowing element is obtained on the basis of the modern approach to a problem on contact interaction of bodies and mediums. A flowing element, system are:…

流体动力学 · 物理学 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial differential equations on networks. The class includes, for example, gas pipe network systems described by barotropic…

数值分析 · 数学 2022-03-25 Björn Liljegren-Sailer , Nicole Marheineke

The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partial differential equations with temperature dependence to…

最优化与控制 · 数学 2017-12-08 Volker Mehrmann , Martin Schmidt , Jeroen J. Stolwijk

Gas-fired generators, with their ability to quickly ramp up and down their electricity production, play an important role in managing renewable energy variability. However, these changes in electricity production translate into variability…

系统与控制 · 电气工程与系统科学 2021-03-24 Conor O' Malley , Gabriela Hug , Line Roald

It is known that periodic forcing of nonlinear flows can result in a chaotic response under certain conditions. Such non-periodic and chaotic solutions have been observed in simulations of heterogeneous gas flow in a pipeline with periodic,…

动力系统 · 数学 2024-05-20 Luke S. Baker , Anatoly Zlotnik

The study explores technological schemes and control methods for reconstructing parallel gas pipeline systems under non-stationary conditions. It focuses on improving safety, reliability, and efficiency by automating valve control and…

最优化与控制 · 数学 2025-04-10 Ilgar Aliyev