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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…

最优化与控制 · 数学 2021-11-10 Pia Domschke , Oliver Kolb , Jens Lang

We present a one-dimensional shear-force-driven droplet formation model with a flux-based error estimator. The model is derived using asymptotic expansion and a front-tracking method to simulate the droplet interface. The model is then…

数值分析 · 数学 2026-05-25 Darsh Nathawani , Matthew Knepley

This paper presents an analytical and computational framework for optimizing gas withdrawal in reconstructed ring-type pipeline systems under unsteady flow conditions. As urban and industrial energy demands grow, repurposing existing…

最优化与控制 · 数学 2025-10-03 I. G. Aliyev , A. M. Isayev , M. Z. Yusifov , A. J. Mammadov , A. S. Mammadov

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

最优化与控制 · 数学 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel

This paper is on the construction of structure-preserving, online-efficient reduced models for the barotropic Euler equations with a friction term on networks. The nonlinear flow problem finds broad application in the context of gas…

数值分析 · 数学 2021-10-12 Björn Liljegren-Sailer , Nicole Marheineke

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…

最优化与控制 · 数学 2022-12-05 Saif R. Kazi , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik

An efficient topology optimization method applicable to both continuum and rarefied gas flows is proposed in the framework of gas-kinetic theory. The areas of gas and solid are marked by the material density, based on which a fictitious…

流体动力学 · 物理学 2023-08-15 Ruifeng Yuan , Lei Wu

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

An adaptive refinement strategy, based on an equilibrated flux a posteriori error estimator, is proposed in the context of defeaturing problems. Defeaturing consists of removing features from complex domains to simplify mesh generation and…

数值分析 · 数学 2026-03-04 Annalisa Buffa , Denise Grappein , Rafael Vázquez

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

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…

最优化与控制 · 数学 2023-05-23 Luke Baker , Saif R. Kazi , Rodrigo B. Platte , Anatoly Zlotnik

The growing reliance of electric power systems on gas-fired generation to balance intermittent sources of renewable energy has increased the variation and volume of flows through natural gas transmission pipelines. Adapting pipeline…

最优化与控制 · 数学 2015-11-25 Terrence W. K. Mak , Pascal Van Hentenryck , Anatoly Zlotnik , Hassan Hijazi , Russell Bent

Exact characterization of phase transitions requires sufficient configurational sampling, necessitating efficient and accurate potential energy surfaces. Molecular force fields with computational efficiency and physical interpretability are…

统计力学 · 物理学 2025-10-21 Bin Jin , Bin Han , Wei Feng , Kuang Yu , Shenzhen Xu

We introduce a tool for simulation and optimization of gas pipeline networks coupled to power grids by gas-to-power plants. The model under consideration consists of the isentropic Euler equations to describe the gas flow coupled to the AC…

最优化与控制 · 数学 2019-03-25 Eike Fokken , Simone Göttlich , Oliver Kolb

Design, architecture and deployment details of a decision support system engineered to minimize operating costs of compressor stations in a gas network are presented. The system employs standard simulation software for pipelines, combined…

系统与控制 · 计算机科学 2013-11-15 Mariusz Kamola , Sebastian Plamowski

The aim of this paper is a short survey of models and methods that developed by the authors. These models and methods are used to optimize general networks with nonlinear non-convex restrictions and objectives possessing mixed…

最优化与控制 · 数学 2019-11-12 Emmanuel M. Livshits , Leonid A. Ostromuhov

The reconstruction, management, and optimization of gas pipelines is of significant importance for solving modern engineering problems. This paper presents innovative methodologies aimed at the effective reconstruction of gas pipelines…

最优化与控制 · 数学 2025-04-10 Ilgar Aliyev

Adaptive mesh refinement (AMR) is a classical technique about local refinement in space where needed, thus effectively reducing computational costs for HPC-based physics simulations. Although AMR has been used for many years, little…

流体动力学 · 物理学 2024-05-14 Dewen Liu , Shuai He , Haoran Cheng , Yadong Zeng

The effectiveness of the machine learning methods for real-world tasks depends on the proper structure of the modeling pipeline. The proposed approach is aimed to automate the design of composite machine learning pipelines, which is…

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

计算物理 · 物理学 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang
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