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algorithm Selection Method Based on Coupling Strength for partitioned Analysis of Structure-Piezoelectric-Circuit Coupling

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Computer Modeling in Engineering & Sciences 2024年第2期138卷 1237-1258页

作者： Daisuke Ishihara Naoto Takayama Department of Intelligent and Control Systems Kyushu Institute of TechnologyIizuka820-8502Japan

In this study, we propose an algorithm selection method based on coupling strength for the partitioned analysis ofstructure-piezoelectric-circuit coupling, which includes two types of coupling or inverse and direct piezoelectriccoupling and direct piezoelectric and circuit coupling. In the proposed method, implicit and explicit formulationsare used for strong and weak coupling, respectively. Three feasible partitioned algorithms are generated, namely(1) a strongly coupled algorithm that uses a fully implicit formulation for both types of coupling, (2) a weaklycoupled algorithm that uses a fully explicit formulation for both types of coupling, and (3) a partially stronglycoupled and partially weakly coupled algorithm that uses an implicit formulation and an explicit formulation forthe two types of coupling, *** examples using a piezoelectric energy harvester,which is a typicalstructure-piezoelectric-circuit coupling problem, demonstrate that the proposed method selects the most costeffectivealgorithm.

关键词： Multiphysics coupling strength partitioned algorithm structure-piezoelectric-circuit coupling strongly coupled algorithm weakly coupled algorithm

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On the number of subproblem iterations per coupling step in partitioned fluid-structure interaction simulations

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2024年第7期125卷 e7420-e7420页

作者： Spenke, Thomas Delaisse, Nicolas Degroote, Joris Hosters, Norbert Rhein Westfal TH Aachen Ctr Simulat & Data Sci JARA CSD Chair Computat Anal Tech Syst CATS Aachen Germany Univ Ghent Dept Electromech Syst & Met Engn Ghent Belgium Flanders Make UGent Core Lab MIRO Ghent Belgium Rhein Westfal TH Aachen Ctr Simulat & Data Sci JARA CSD Chair Computat Anal Tech Syst CATS Schinkelstr 2 D-52056 Aachen Germany

In literature, the cost of a partitioned fluid-structure interaction scheme is typically assessed by the number of coupling iterations required per time step, while ignoring the internal iterations within the nonlinear subproblems. In this work, we demonstrate that these internal iterations have a significant influence on the computational cost of the coupled simulation. Particular attention is paid to how limiting the number of iterations within each solver call can shorten the overall run time, as it avoids polishing the subproblem solution using unconverged coupling data. Based on systematic parameter studies, we investigate the optimal number of subproblem iterations per coupling step. In addition, this work proposes a new convergence criterion for partitioned algorithms that is based solely on the number of subproblem iterations required to reach the subproblem residual tolerances and therefore does not require any additional convergence tolerance for the coupling loop.

关键词： convergence criterion coupled problems fluid-structure interaction partitioned algorithm solver iterations

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Two heterogeneous algorithms for partitioned analysis of nuclear power plants considering soil-structure interaction

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NUCLEAR ENGINEERING AND TECHNOLOGY 2025年第8期57卷

作者： Gao, Lei Chen, Shaolin Sun, Xiaoying Nanjing Univ Aeronaut & Astronaut Coll Aerosp Engn Nanjing 210016 Peoples R China Nanjing Univ Aeronaut & Astronaut Dept Civil & Airport Engn Nanjing 210016 Peoples R China Nanjing Univ Aeronaut & Astronaut State Key Lab Mech & Control Mech Struct Nanjing 210016 Peoples R China China Nucl Power Engn Co Ltd Beijing 100840 Peoples R China

In order to efficiently perform the dynamic analysis of nuclear power plants considering soil-structure interaction, two partitioned algorithms in parallel manner were proposed, in which the factors such as structural damping, soil nonlinearity, and foundation flexibility can be reasonably considered. For both algorithms, soil node motions were calculated by the explicit time integration method, while there are differences in the computational models and methods for structural dynamic analysis. One is to use 'strong' coupling, which was realized by overlapping elements between soil and structure partitions, and the structural dynamic analysis was performed using the implicit time integration method with Rayleigh damping. The other involves using a 'weak' coupling, where the soil and structure partitions were modeled separately, and the structure analysis was carried out using the mode-superposition method with modal damping. The accuracy of the proposed methods was be verified through a simple model. The seismic response analysis of the CAP1400 nuclear power plant on a nonrock site was conducted. Comparing the structural dynamic responses with Rayleigh damping and modal constant damping, it can be concluded that the damping model has an obvious influence on the structural response, and the structural damping model should be reasonably selected in practical engineering.

关键词： Nuclear power plants Soil-structure interaction partitioned algorithm Parallel computation Damping model Mode-superposition method

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High-Order Accurate partitioned Schemes for Conjugate Heat Transfer with Advection-Diffusion Equations

High-Order Accurate Partitioned Schemes for Conjugate Heat T...

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作者： Huang, Sijia Rensselaer Polytechnic Institute

学位级别：Ph.D., Doctor of Philosophy

This thesis presents a high-order accurate partitioned scheme for the solution of conjugate heat transfer (CHT) problems. The scheme is based on special second-order accurate CHAMP (Conjugate Heat transfer Advanced Multi-domain partitioned) interface conditions and extended here to high-order accuracy and to the advection-diffusion equations. The solutions in each material domain are advanced independently with an implicit method, and domains are coupled at the interface using the new CHAMP interface conditions. These conditions are based on usual interface matching conditions involving continuity of temperature and heat flux, together with additional compatibility conditions derived from the governing equations. The new CHAMP conditions are implemented numerically using an optimized Schwarz approach, with a Taylor expansion leading to an effective domain overlap, which significantly improves the convergence rate. The partitioned time-stepping schemes are found to be stable with none or just a few sub-time-step iterations for a wide class of CHT problems. The first part of this thesis focuses on the conjugate heat transfer problem for the diffusion equations and extends the current second-order accurate CHAMP schemes to higher-order accuracy. A detailed fourth-order accurate derivation is given to demonstrate the approach, with a general discussion on deriving a pth-order accurate method. The scheme is then analyzed to determine the optimal coupling coefficients in the CHAMP condition based on solving an optimization problem. The CHAMP iteration is studied in isolation while keeping the time-step fixed, and the iteration amplification factor of the CHAMP scheme is compared to the optimized Schwarz scheme with different overlap widths. The CHAMP time-stepping scheme is then studied for the case where no sub-iteration is taken. The un-iterated CHAMP time-stepping scheme is analyzed to show the overall fourth-order accuracy when a fourth-order accurate CHAMP interface

关键词： Advection diffusion CHAMP Conjugate heat transfer High order Partial differential equation partitioned algorithm

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A multi-vector interface quasi-Newton method with linear complexity for partitioned fluid-structure interaction

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2020年 361卷 112810-000页

作者： Spenke, Thomas Hosters, Norbert Behr, Marek Rhein Westfal TH Aachen CCES Chair Computat Anal Tech Syst CATS D-52062 Aachen Germany

In recent years, interface quasi-Newton methods have gained growing attention in the fluid-structure interaction community by significantly improving partitioned solution schemes: They not only help to control the inherent added-mass instability, but also prove to substantially speed up the coupling's convergence. In this work, we present a novel variant: The key idea is to build on the multi-vector Jacobian update scheme first presented by Bogaers et al. (2014) and avoid any explicit representation of the (inverse) Jacobian approximation, since it slows down the solution for large systems. Instead, all terms involving a quadratic complexity have been systematically eliminated. The result is a new multi-vector interface quasi-Newton variant whose computational cost scales linearly with the problem size. (C) 2020 Elsevier B.V. All rights reserved.

关键词： Fluid-structure interaction Interface quasi-Newton methods partitioned algorithm

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Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition

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JOURNAL OF SCIENTIFIC COMPUTING 2022年第1期93卷 33-33页

作者： Zhang, Hong Liu, Zhengyu Constantinescu, Emil Jacob, Robert Argonne Natl Lab Math & Comp Sci Div Lemont IL 60439 USA Ohio State Univ Dept Geog Columbus OH 43210 USA

Numerical stability is of critical importance in general circulation models because it affects the design of algorithms, time to solution, and computational costs associated with the simulations, which are very expensive in practice. In this paper we extend the stability analysis for ocean-atmosphere coupling proposed in [Zhang et al., J. Sci. Comput. 84, 44(2020)] to a more realistic model that includes horizontal advection. We analyze various time-stepping strategies. We find that advection has a stabilizing effect in scenarios common to climate models when bulk interface condition and explicit flux coupling are used. We also show that our method can be used to study the stability impact of advection for other interface conditions such as Dirichlet-Neumann conditions.

关键词： Stability analysis Coupled system partitioned algorithm Ocean-atmosphere

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Surrogate-based acceleration of quasi-Newton techniques for fluid-structure interaction simulations

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COMPUTERS & STRUCTURES 2022年 260卷 106720-106720页

作者： Delaisse, Nicolas Demeester, Toon Fauconnier, Dieter Degroote, Joris Univ Ghent Dept Electromech Syst & Met Engn Sint Pietersnieuwstr 41 B-9000 Ghent Belgium Univ Ghent Dept Electromech Syst & Met Engn Soete Lab Zwijnaarde 46 B-9052 Zwijnaarde Belgium Flanders Make UGent Core Lab EEDT MP Ghent Belgium

Quasi-Newton methods have proven to be an efficient way to couple partitioned solvers in fluid-structure interaction problems, as they are able to stabilize cases with high added-mass, as well as accelerate the convergence. However, these methods assume that the coupled system is a complete black-box, whereas often, its behavior is well approximated by a surrogate model. Such a model may be obtained by coarsening the system, simplifying the physics, reverting to analytical approximations or considering the system at a previous point in time. The principal idea of this work is to use an initial solution and a Jacobian provided by the surrogate model, to expedite the convergence even further. This article presents a new framework for the inclusion of surrogate models in quasi-Newton methods and positions several existing methods with respect to it. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： Fluid-structure interaction Quasi-Newton method Surrogate model partitioned algorithm

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Stability Analysis of Interface Conditions for Ocean-Atmosphere Coupling

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JOURNAL OF SCIENTIFIC COMPUTING 2020年第3期84卷 44-44页

作者： Zhang, Hong Liu, Zhengyu Constantinescu, Emil Jacob, Robert Argonne Natl Lab Math & Comp Sci Div Lemont IL 60439 USA Ohio State Univ Dept Geog Columbus OH 43210 USA Argonne Natl Lab Div Environm Sci Lemont IL USA

In this paper we analyze the stability of different coupling strategies for multidomain PDEs that arise in general circulation models used in climate simulations. We focus on fully coupled ocean-atmosphere models that are needed to represent and understand the complicated interactions of these two systems, becoming increasingly important in climate change assessment in recent years. Numerical stability issues typically arise because of different time-stepping strategies applied to the coupled PDE system. In particular, the contributing factors include using large time steps, lack of accurate interface flux, and single-iteration coupling. We investigate the stability of the coupled ocean-atmosphere models for various interface conditions such as the Dirichlet-Neumann condition and the bulk interface condition, which is unique to climate modeling. By analyzing a simplified model, we demonstrate how the parameterization of the bulk condition and other numerical and physical parameters affect the coupling stability and establish stability conditions for different coupling strategies.

关键词： Stability analysis Coupled system partitioned algorithm Ocean-atmosphere

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A localized lagrange multipliers approach for the problem of vehicle-bridge-interaction

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ENGINEERING STRUCTURES 2018年第Aug.1期168卷 82-92页

作者： Zeng, Qing Stoura, Charikleia D. Dimitrakopoulos, Elias G. Hong Kong Univ Sci & Technol Dept Civil & Environm Engn Hong Kong Peoples R China

This paper proposes a time-integration analysis scheme for the vehicle-bridge-interaction problem. Key feature is the introduction of artificial auxiliary contact points between the wheels and the bridge deck elements in contact. The artificial points allow the formulation of two sets of kinematic constraints and two sets of contact forces (i.e. localized Lagrange multipliers), between the vehicle and the bridge, that enable the partitioned, non iterative, dynamic analysis of the two subsystems. To demonstrate the accuracy of the proposed approach, the paper first examines a simple example of a single sprung-mass model traversing a simply supported bridge. Then, it considers a more realistic problem of eight train vehicles crossing an arch bridge. The train vehicles are simulated as multibody assemblies and the bridge with a three-dimensional finite element model. The results prove the computational efficiency of the proposed scheme compared to existing algorithms.

关键词： Vehicle-bridge-interaction Localized Lagrange multipliers method Finite element method Multibody dynamics partitioned algorithm

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Fluid Structure Interaction of Buoyant Bodies with Free Surface Flows: Computational Modelling and Experimental Validation

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WATER 2019年第5期11卷 1048页

作者： Facci, Andrea Luigi Falcucci, Giacomo Agresta, Antonio Biscarini, Chiara Jannelli, Elio Ubertini, Stefano Univ Tuscia Dept Econ Engn Soc & Business Org I-01100 Viterbo Italy Univ Roma Tor Vergata Dept Enterprise Engn Mario Lucertini I-001133 Rome Italy Harvard Univ Johna A Paulson Sch Engn & Appl Sci 33 Oxford St Cambrdige MA 02138 USA Univ Foreigners Perugia UNESCO Chair Water Resources Management & Culture I-06125 Perugia Italy Univ Naples Parthenope Dept Engn I-80143 Naples Italy

In this paper we present a computational model for the fluid structure interaction of a buoyant rigid body immersed in a free surface flow. The presence of a free surface and its interaction with buoyant bodies make the problem very challenging. In fact, with light (compared to the fluid) or very flexible structures, fluid forces generate large displacements or accelerations of the solid and this enhances the artificial added mass effect. Such a problem is relevant in particular in naval and ocean engineering and for wave energy harvesting, where a correct prediction of the hydrodynamic loading exerted by the fluid on buoyant structures is crucial. To this aim, we develop and validate a tightly coupled algorithm that is able to deal with large structural displacement and impulsive acceleration typical, for instance, of water entry problems. The free surface flow is modeled through the volume of fluid model, the finite volume method is utilized is to discretize the flow and solid motion is described by the Newton-Euler equations. Fluid structure interaction is modeled through a Dirichlet-Newmann partitioned approach and tight coupling is achieved by utilizing a fixed-point iterative procedure. As most experimental data available in literature are limited to the first instants after the water impact, for larger hydrodynamic forces, we specifically designed a set of dedicated experiments on the water impact of a buoyant cylinder, to validate the proposed methodology in a more general framework. Finally, to demonstrate that the proposed numerical model could be used for a wide range of engineering problems related to FSI in multiphase flows, we tested the proposed numerical model for the simulation of a floating body.

关键词： fluid structure interaction free surface partitioned algorithm volume of fluid tight coupling fluid dynamics

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