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Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar methods. Our…

Numerical Analysis · Mathematics 2017-07-18 Wietse M. Boon , Jan M. Nordbotten , Ivan Yotov

Ray flow methods provide efficient tools for modelling wave energy transport in complex systems at high-frequencies. We compare two Petrov-Galerkin discretizations of a phase-space boundary integral model for stationary wave energy…

Computational Physics · Physics 2023-10-02 David J. Chappell , Martin Richter , Gregor Tanner

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

Although intensively studied in recent years, the optimization of the transient (time-dependent) control of large real-world gas networks is still out of reach for current state-of-the-art approaches. For this reason, we present further…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings

Transport and mixing processes in fluid flows can be studied directly from Lagrangian trajectory data, such as obtained from particle tracking experiments. Recent work in this context highlights the application of graph-based approaches,…

Dynamical Systems · Mathematics 2019-07-08 Ralf Banisch , Péter Koltai , Kathrin Padberg-Gehle

This paper presents a mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media. The framework combines two types of locally conservative discretization schemes: (1) an enriched Galerkin…

Computational Engineering, Finance, and Science · Computer Science 2023-08-30 T. Kadeethum , S. Lee , F. Ballarin , J. Choo , H. M. Nick

Energy distribution networks are crucial for human societies and since they often cover large geographical areas, their physical analysis is challenging. Modeling and simulation can be used to analyze such complex energy networks. In this…

Analysis of PDEs · Mathematics 2025-03-26 Saleha Kiran , Farhan Hussain , Mian Ilyas Ahmad

Understanding the flow behavior of complex concentrated slurries is of tremendous importance for industrial waste management. In this study, the transport of three-phase oil sands tailings in a horizontal pipeline is simulated via the…

Fluid Dynamics · Physics 2025-07-17 Mohsen Sadeghi , Somasekhara Goud Sontti , Enzu Zheng , Xuehua Zhang

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…

Fluid Dynamics · Physics 2023-08-15 Ruifeng Yuan , Lei Wu

We discuss the mathematical modeling and numerical discretization of transport problems on one-dimensional networks. Suitable coupling conditions are derived that guarantee conservation of mass across network junctions and dissipation of a…

Numerical Analysis · Mathematics 2020-01-23 Herbert Egger , Nora Philippi

The current energy transition promotes the convergence of operation between the power and natural gas systems. In that direction, it becomes paramount to improve the modeling of non-convex natural gas flow dynamics within the coordinated…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Adriano Arrigo , Mihály Dolányi , Kenneth Bruninx , Jean-François Toubeau

In this work, we derive a new model for immiscible two-layer gas-liquid stratified flows in pipes with general cross sections. The bottom layer is occupied by an incompressible fluid in liquid phase with hydrodynamics based on a hydrostatic…

Computational Physics · Physics 2026-02-16 Sarswati Shah , Gerardo Hernández-Dueñas

We are interested in numerical schemes for the simulation of large scale gas networks. Typical models are based on the isentropic Euler equations with realistic gas constant. The numerical scheme is based on transformation of conservative…

Numerical Analysis · Mathematics 2020-05-26 Sara Grundel , Michael Herty

Compressor stations are the heart of every high-pressure gas transport network. Located at intersection areas of the network they are contained in huge complex plants, where they are in combination with valves and regulators responsible for…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings , Lovis Anderson , Kai Hoppmann-Baum , Mark Turner , Thorsten Koch

This study presents a novel analytical framework for modeling unsteady gas dynamics in parallel pipeline systems under leakage conditions. The proposed method introduces a time-dependent leakage mass flow rate function, which dynamically…

Optimization and Control · Mathematics 2025-09-12 Ilgar G. Aliyev , Konul Gafarbayli , Ahad Mammadov , Firangiz Mammadrazayeva

This paper deals with the optimal control of systems governed by nonlinear systems of conservation laws at junctions. The applications considered range from gas compressors in pipelines to open channels management. The existence of an…

Analysis of PDEs · Mathematics 2008-02-26 R. M. Colombo , G. Guerra , M. Herty , V. Sachers

Gas Transmission Networks are large-scale complex systems, and corresponding design and control problems are challenging. In this paper, we consider the problem of control and management of these systems in crisis situations. We present…

Artificial Intelligence · Computer Science 2012-10-01 Amir Noori , Mohammad Bagher Menhaj , Masoud Shafiee

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,…

Dynamical Systems · Mathematics 2024-05-20 Luke S. Baker , Anatoly Zlotnik

Condensation is an important aspect of many flow applications due to the universal presence of humidity in the air at ambient conditions. For direct numerical simulations of such flows, simulating the gas phase as a mixture characterized by…

Fluid Dynamics · Physics 2022-06-29 Philipp Bahavar , Claus Wagner

We present a method to estimate the segregation parameter, $S,$ a key input in a continuum transport model of particulate flows. $S$ is determined by minimizing the difference between measured and model-predicted concentration profiles. To…