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This paper presents the construction of a correct-energy stabilized finite element method for the incompressible Navier-Stokes equations. The framework of the methodology and the correct-energy concept have been developed in the…

Numerical Analysis · Mathematics 2018-10-03 M. Ten Eikelder , I. Akkerman

This paper proposes a convex optimization based distributed algorithm to solve multi-period optimal gas-power flow (OGPF) in coupled energy distribution systems. At the gas distribution system side, the non-convex Weymouth gas flow…

Optimization and Control · Mathematics 2016-10-18 Cheng Wang , Wei Wei , Jianhui Wang , Linquan Bai , Yile Liang

Power systems are shifted from conventional bulk generation toward renewable generation. This trend leads to the frequency security problem due to the decline of system inertia. On the other hand, natural gas-fired units are frequently…

Optimization and Control · Mathematics 2021-09-30 Lun Yang , Yinliang Xu , Jianguo Zhou , Hongbin Sun

An increasing amount of gas-fired power plants are currently being installed in modern power grids worldwide. This is due to their low cost and the inherent flexibility offered to the electrical network, particularly in the face of…

Computational Engineering, Finance, and Science · Computer Science 2018-04-26 Conor O'Malley , Drosos Kourounis , Gabriela Hug , Olaf Schenk

Due to the increasing occurrence of natural disasters, importance of maintaining sustainable energy for cities and society is felt more than ever. On the other hand, power loss reduction is a challenging issue of active distribution…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Saeed Behzadi , Amir Bagheri , Abbas Rabiee

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

This work proposes an adaptive structure-preserving model order reduction method for finite-dimensional parametrized Hamiltonian systems modeling non-dissipative phenomena. To overcome the slowly decaying Kolmogorov width typical of…

Numerical Analysis · Mathematics 2022-02-02 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

The development of energy conversion techniques enhances the coupling between the gas network and power system. However, challenges remain in the joint optimal dispatch of electricity-gas systems. The dynamic model of the gas network,…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Siyuan Wang , Wenchuan Wu , Chenhui Lin , Binbin Chen

In this paper, we are concerned with the quantification of uncertainties that arise from intra-day oscillations in the demand for natural gas transported through large-scale networks. The short-term transient dynamics of the gas flow is…

Numerical Analysis · Mathematics 2020-12-08 Jens Lang , Pia Domschke , Elisa Strauch

We present a new approach for computing approximate global minimizers to a large class of non-local pairwise interaction problems defined over probability distributions. The approach predicts candidate global minimizers, with a recovery…

Numerical Analysis · Mathematics 2017-10-04 Mahdi Bandegi , David Shirokoff

This paper extends a new concept of energy-water-hydrogen (EWH) nexus, which was recently developed as a solution for reducing carbon emissions from the generation side of power systems, to the distribution side. Under the concept of…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Mostafa Goodarzi , Qifeng Li

We describe an asymptotic procedure for deriving continuum equations from the kinetic theory of a simple gas. As in the works of Hilbert, of Chapman and of Enskog, we expand in the mean flight time of the constituent particles of the gas,…

Astrophysics · Physics 2009-11-06 Xinzhong Chen , Hongling Rao , Edward A. Spiegel

This study develops and validates neural network frameworks with physics-based constraints for surrogate modeling of rarefied gas dynamics across different levels of complexity. As a baseline, we first examine the BGK kinetic relaxation…

Fluid Dynamics · Physics 2025-09-09 Ehsan Roohi , Ahmad Shoja-Sani , Bijan Goshayeshi , Ahmad Peyvan

The increasing share of volatile renewable electricity production motivates demand response. Substantial potential for demand response is offered by flexible processes and their local multi-energy supply systems. Simultaneous optimization…

Optimization and Control · Mathematics 2024-01-10 Florian Joseph Baader , Philipp Althaus , André Bardow , Manuel Dahmen

To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of possible scenarios, incorporating uncertain supply and demand,…

Optimization and Control · Mathematics 2021-07-20 Christian Himpe , Sara Grundel , Peter Benner

In this paper, we present an efficient numerical method to address a thermodynamically consistent gas flow model in porous media involving compressible gas and deformable rock. The accurate modeling of gas flow in porous media often poses…

Numerical Analysis · Mathematics 2026-02-16 Huangxin Chen , Yuxiang Chen , Jisheng Kou , Shuyu Sun

Modelling rarefied gas flow via the Boltzmann equation plays a vital role in many areas. Due to the high dimensionality of this kinetic equation and the coexistence of multiple characteristic scales in the transport processes, conventional…

Numerical Analysis · Mathematics 2025-05-27 Wei Su , Xi Zou

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 note presents a unified analysis of the identification of dynamical systems with low-rank constraints under high-dimensional scaling. This identification problem for dynamic systems are challenging due to the intrinsic dependency of…

Statistics Theory · Mathematics 2019-12-23 Junlin Li

Battery-hybrid power source architectures can reduce fuel consumption and emissions for ships with diverse operation profiles. However, conventional control strategies may fail to improve performance if the future operation profile is…

Optimization and Control · Mathematics 2023-07-13 Antti Ritari , Niklas Katzenburg , Fabricio Oliveira , Kari Tammi