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We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative…

Numerical Analysis · Mathematics 2020-09-21 Benjamin Rüth , Benjamin Uekermann , Miriam Mehl , Philipp Birken , Azahar Monge , Hans-Joachim Bungartz

This paper presents a unified framework, called multiRegionFoam, for solving multiphysics problems of the multi-region coupling type within OpenFOAM (FOAM-extend). It is intended to supersede the existing solver with the same name. The…

Advanced Krylov subspace methods are investigated for the solution of large sparse linear systems arising from stiff adjoint-based aerodynamic shape optimization problems. A special attention is paid to the flexible inner-outer GMRES…

Numerical Analysis · Mathematics 2024-04-30 Mehdi Jadoui , Christophe Blondeau , Emeric Martin , Florent Renac , François-Xavier Roux

Large-scale numerical simulations often come at the expense of daunting computations. High-Performance Computing has enhanced the process, but adapting legacy codes to leverage parallel GPU computations remains challenging. Meanwhile,…

Two roads are presently being followed in order to establish the existence of a liquid-gas phase transition in finite nuclear systems from nuclear reactions at high energy. The clean experiment of observing the thermodynamic properties of a…

Nuclear Experiment · Physics 2009-11-10 W. Trautmann

Regional integrated energy system coupling with multienergy devices, energy storage devices, and renewable energy devices has been regarded as one of the most promising solutions for future energy systems. Planning for existing natural gas…

Systems and Control · Electrical Eng. & Systems 2021-07-01 Ang Xuan , Yang Qiu , Yang Liu , Xin Sun

Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numerically challenging as they require large-scale computations…

Analysis of PDEs · Mathematics 2025-03-10 Amal Alphonse , Ana Djurdjevac , Emil Engström , Eskil Hansen

Cooling the trapped atoms toward their motional ground states is key to applications of quantum simulation and quantum computation. By utilizing nonreciprocal couplings between constituent atoms, we present an intriguing dark-state cooling…

Quantum Physics · Physics 2022-11-17 Chun-Che Wang , Yi-Cheng Wang , Chung-Hsien Wang , Chi-Chih Chen , H. H. Jen

In this work, we propose a novel preconditioned Krylov subspace method for solving an optimal control problem of wave equations, after explicitly identifying the asymptotic spectral distribution of the involved sequence of linear…

Numerical Analysis · Mathematics 2023-07-25 Sean Hon , Jiamei Dong , Stefano Serra-Capizzano

We present a novel, generalised formulation to treat coupled structural integrity problems by combining phase field and multi-physics modelling. The approach exploits the versatility of the heat transfer equation and is therefore well…

Computational Engineering, Finance, and Science · Computer Science 2025-06-27 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda

We consider the parallel-in-time solution of hyperbolic partial differential equation (PDE) systems in one spatial dimension, both linear and nonlinear. In the nonlinear setting, the discretized equations are solved with a preconditioned…

Numerical Analysis · Mathematics 2025-10-10 O. A. Krzysik , H. De Sterck , R. D. Falgout , J. B. Schroder

This work presents a fully coupled combustor turbine simulation framework applied to the MYTHOS aeroengine, developed within the Horizon Europe project MYTHOS, aimed at assessing the impact of Sustainable Aviation Fuels (SAFs) and hydrogen…

We develop and analyze an optimization-based method for the coupling of a static peri-dynamic (PD) model and a static classical elasticity model. The approach formulates the coupling as a control problem in which the states are the…

Numerical Analysis · Mathematics 2021-10-12 Marta D'Elia , David Littlewood , Jeremy Trageser , Mauro Perego , Pavel Bochev

A DualTPD method is proposed for solving nonlinear partial differential equations. The method is characterized by three main features. First, decoupling via Fenchel--Rockafellar duality is achieved, so that nonlinear terms are discretized…

Numerical Analysis · Mathematics 2025-10-20 Long Chen , Ruchi Guo , Jingrong Wei , Jun Zou

This article condenses current endeavors and improvements in the expansion of applications of the DualSPHysics code to analyze heat transfer in a nuclear reactor core. This includes the essential conservation equations and certain physical…

In this paper, we aim to solve the system of equations governing linear elasticity in parallel using domain decomposition. Through a non-overlapping decomposition of the domain, our approach aims to target the resulting interface problem,…

Optimization and Control · Mathematics 2015-01-29 James Turner , Michal Kocvara , Daniel Loghin

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

Proper traffic simulation of electric vehicles, which draw energy from overhead wires, requires adequate modeling of traction infrastructure. Such vehicles include trains, trams or trolleybuses. Since the requested power demands depend on a…

Optimization and Control · Mathematics 2020-10-08 Jakub Ševčík , Lukáš Adam , Jan Přikryl , Václav Šmídl

Accurately predicting the behavior of a nuclear reactor requires multiphysics simulation of coupled neutronics, thermal-hydraulics and fuel thermo-mechanics. The fuel thermo-mechanical response provides essential information for operational…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 Yifeng Che , Joseph Yurko , Koroush Shirvan

Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU…

Computational Physics · Physics 2011-08-17 Ferenc Molnar , Ferenc Izsak , Robert Meszaros , Istvan Lagzi