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Partitioned solution strategies for electro-thermo-mechanical problems applied to the field-assisted sintering technology

Patrick Erbts

Reihe: Mechanik/Bruchmechanik

Band 345 2016

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„… coupling algorithm for the problem under consideration. In this thesis, robust partitioned solution …” „… partitioned coupling strategies as well as a summary of the current state-of-the-art. 1.1.1 Multi-physical …” „… typical for surfacecoupled systems. With respect to partitioned coupling approaches, important …”

Titelei/Inhaltsverzeichnis S. I-XVI

„… simulation – Partitioned coupling algorithm – Electro-thermo-mechanical modeling – Radiative heat transfer …” „… coupling algorithms is carried out to improve the convergence of the partitioned solution procedure …” „… . . . . . . . . . . . . . . . . 145 5.1.2 Partitioned coupling strategy . . . . . . . . . . . . . . . . . . 147 5.1.3 Results …”

Conclusions and outlook S. 171-173

„… . Another interesting point is concerned with an improved time integration of the partitioned coupling …” „… 171 CHAPTER6 Conclusions and outlook Within the scope of this thesis, partitioned solution …” „… flexible coupling strategy for an arbitrary number of physical fields that can be treated with specialized …”

Solution of coupled problems S. 79-144

„… , especially in cases using the term staggered. A decision for a partitioned coupling scheme may have …” „… to attain a decoupled formulation and to increase the chances for a stable partitioned coupling …” „… these methods are introduced and applied to accelerate the convergence of the partitioned coupling …”

Bibliography S. 186-204

„… . Düster. A flexible multi-physics coupling interface for partitioned solution approaches. Proceedings in …” „… , S. Hartmann, and A. Düster. Monolithic and partitioned coupling schemes for thermo-viscoplasticity …” „… . Verdonck. Implicit coupling of partitioned fluid-structure interaction problems with reduced order models …”

Numerical examples S. 145-170

„… 145 CHAPTER5 Numerical examples In this chapter, the proposed partitioned coupling strategy is …” „… , thermal and mechanical field are taken into account. An appropriate partitioned coupling strategy is …” „… N/m2 Shear modulus μ 0.802× 1011 0.303× 1011 N/m2 5.1.2 Partitioned coupling strategy In order to find …”

Appendix S. 174-185

„… := { z0, z1, ..., zn : zi ∈ Rd } , (A.14) which are the solution vectors from the partitioned coupling …” „… the partitioned coupling algorithm. A.2.2 Brezinski’s θ-algorithm Another method which shall be …” „… partitioned coupling process can be obtained, see Eqns. (4.63) and (4.65). A.2.3 W -algorithm The third vector …”

Numerical methods S. 45-78

„… partitioned coupling strategy, each of the fields only need to be linearized with respect to its primary …” „… discussed in [171, p. 142–145], for instance. 48 3. Numerical methods Due to the fact that a partitioned …” „… temperature-dependent material parameters, coupling terms and the boundary conditions. Before proceeding with the …”

doi.org/10.51202/9783186345189

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Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime Applications

Marcel König

Reihe: Mechanik/Bruchmechanik

Band 351 2018

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Introduction S. 1-4

„… partitioned approach deals with each of the subproblems separately and realizes the coupling between the …” „… integrity of the entire platform, it is vital to take the FSI into account. Neglecting the coupling effects …” „… [104, 141, 163], or coupling to control systems [145]. For the numerical analysis of coupled multifield …”

Bibliography S. 252-266

„… . “A coupling environment for partitioned multiphysics simulations applied to fluid-structure …” „… . Mehl et al. “Parallel coupling numerics for partitioned fluid-structure interaction simulations”. In …” „… . Yoshimura. “Performance evaluation of nonlinear algorithms with line-search for partitioned coupling …”

Conclusions and Outlook S. 241-251

„… 8 Conclusions and Outlook In the present thesis, the partitioned solution approach was successfully …” „… strongly-coupled FSI problems arising in the context of maritime applications. Major advantages of the partitioned …” „… discretization schemes for their numerical treatment. Following this, we presented a generic partitioned …”

Software Library comana S. 98-157

„… solvers into a partitioned analysis. Due to the modular architecture of the coupling extensions …” „… 5 Software Library comana For the partitioned solution of a general multifield problem, separate …” „… , modifications in the solvers are kept to a minimum. For the implementation of a custom partitioned solution …”

Titelei/Inhaltsverzeichnis S. I-XVI

„… Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 4.2 Generic Partitioned Coupling …” „… Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime …” „… Applications Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in …”

Coupled Problems S. 42-97

„… 4.2 Generic Partitioned Coupling Algorithm 4.2 Generic Partitioned Coupling Algorithm In a partitioned …” „… error measure for these schemes. 4.6 Convergence Criteria In the generic partitioned coupling procedure …” „… Acceleration Schemes An essential part of the generic partitioned coupling procedure depicted in Algorithm 1 is …”

Benchmark Problems S. 158-217

„… illustrate the effectiveness of the partitioned solution approach. Depending on the particular problem under …” „… appropriate subproblem solvers can be integrated into the partitioned solution strategy with little effort. A …” „… applied in every coupling iteration that have better chances to unveil their potential to accelerate the …”

Advanced Applications S. 218-240

„… 7 Advanced Applications In this chapter, the partitioned solution approach is applied to more …” „… that the partitioned solution approach is suitable even for such complex kinds of strongly-coupled …” „… of the FSI of the floating OWT, we follow a partitioned solution approach and split the coupled …”

doi.org/10.51202/9783186351180

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A partitioned solution approach for fluid-structure interaction problems in the arterial system

Lars Radtke

Reihe: Mechanik/Bruchmechanik

Band 353 2020

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Titelei/Inhaltsverzeichnis S. I-X

„… /VDI-Mitgliederpreis € 90,00. Keywords: fluid-structure interaction – blood flow – partitioned coupling – high-order …” „… partitioned solution approach for fluid-structure interaction problems in the arterial system A …” „… partitioned solution approach for fluid-structure interaction problems in the arterial system Vom …”

Summary and Outlook S. 253-256

„… problem. The resulting multifield problem is solved using a partitioned solution approach. The main …” „… achievement is the development of numerical methods that are needed to realize such a partitioned simulation …” „… in which specialized field solvers applying different numerical methods are coupled. Partitioned …”

Introduction S. 1-5

„… physical phenomenon where such a strong coupling prevails and an implicit solution approach is inevitable …” „… interaction problem, with a focus on efficient coupling procedures and the solution of the structural …” „… partitioned or monolithic methods. In the monolithic case, all fields are solved simultaneously taking into …”

Bibliography S. 269-288

„… of nonlinear algorithms with line-search for partitioned coupling techniques for fluid-structure …” „… , and P. Verdonck. “Implicit coupling of partitioned fluid-structure interaction problems with reduced …” „… . Bungartz, F. Lindner, M. Mehl, and B. Uekermann. “A plug-and-play coupling approach for parallel …”

Fluid-structure interaction in the arterial system S. 6-22

„… be classified as either monolithic or partitioned. A detailed explanation follows at the beginning of …” „… cost of a higher implementation effort and non-standard mathematical frameworks. In partitioned …” „… surface are prescribed as surface loads acting on the structure. Within such coupling procedures, the …”

Numerical methods S. 69-152

„… subproblems, the coupling quantities need to be interpolated. A typical example are 128 4.3 Partitioned …” „… part (Geometry and mesh generation) of this chapter. In the third part (Partitioned solution approach …” „… ), the coupling procedure according to the definition of the coupled problem introduced in Section 3.1 is …”

Numerical investigations S. 153-219

„… the second section, the partitioned solution approach is considered. The introduced coupling …” „… problems. The scenario FSI3 further poses a challenge for the partitioned coupling procedure. Due to the …” „… the partitioned coupling of the additional subproblems representing the reduced models, namely the …”

Applications S. 220-252

„… 6 Applications In this chapter, the partitioned solution approach is applied to investigate the …” „… demonstrating the usage of the partitioned solution approach this provides references for a later investigation …” „… developed partitioned simulation approach, the deformation of the vessel walls as well as the influence of …”

Mechanical modeling of the arterial system S. 23-68

„… partitioned solution approach is discussed in detail. Like the coupling software introduced there, it is …” „… these laws are applied. In view of the partitioned solution approach, this leads to separate subproblems …” „… difference between monolithic and partitioned solution approaches is illustrated and a common notation for a …”

doi.org/10.51202/9783186353184

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Partitioned Fluid-Structure Interaction Simulation of Maritime Applications

Jorrid Lund

Reihe: Mechanik/Bruchmechanik

Band 360 2024

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Introduction S. 1-4

„… methods that arenecessary for partitioned coupling.The maritime applications presented in Chapter 5 are …” „… softwareframeworks implementing the partitioned coupling for multi-physic problems are, for ex-ample, MpCCI [9 …” „… academic and commercial softwareframeworks implementing the partitioned coupling for multi-physic problems …”

Titelei/Inhaltsverzeichnis S. I-VIII

„… , faserverstärkter KunststoffKeywords: fluid-structure interaction, partitioned coupling, finite element method …” „… , faserverstärkter KunststoffKeywords: fluid-structure interaction, partitioned coupling, finite element method …” „… Lund, M. Sc.HamburgPartitioned Fluid-Structure Interaction Simulation of Maritime ApplicationsCyan …”

Bibliography S. 124-138

„… . Lund, B. Wiegard, L. Radtke, M. König, A. Düster, Partitioned coupling of fluid-structure interaction …” „… :10.1080/17445302.2019.1565295.[83] J. Lund, B. Wiegard, L. Radtke, M. König, A. Düster, Partitioned coupling of fluid-structure …” „… parallel library for multi-physics surface coupling,Computers & Fluids 141 (2016) 250–258, Advances in …”

Fluid-structure interaction S. 35-48

„… stable than the parti-tioned approach, the partitioned coupling approach can be stabilized with …” „… iterationnonoyesyesinterpolation (Sec. 4.3)interpolation (Sec. 4.3)Figure 4.1: Partitioned coupling solution approach for FSI …” „… coupling approach is commonly used when the effect of one of the two fieldson the other remains small …”

Summary and outlook S. 118-123

„… computational time is essentialsince the partitioned coupling approach requires multiple evaluations of the …” „… computational time is essentialsince the partitioned coupling approach requires multiple evaluations of the …” „… 9 Summary and outlookThis work demonstrated the benefit of partitioned fully-coupled FSI …”

Fluid mechanics S. 21-34

„… generally more stable than the parti-tioned approach, the partitioned coupling approach can be stabilized …” „… iterative solution procedure, as detailed in the following.3.2.3 Velocity-pressure couplingOne of the …” „… iterative solution procedure, as detailed in the following.3.2.3 Velocity-pressure couplingOne of the …”

Floating windturbine S. 49-61

„… simulated using a partitioned FSI simulation with the coupling managercomana introduced in Sec. 4.6. For the …” „… FWT [84]5.3 Simulation setupThe FWT is simulated using a partitioned FSI simulation with the coupling …” „… “Institute for Fluid Dynamics andShip Theory” at TUHH, by Netzband et al. [85]. The coupling and the …”

Ship propeller S. 81-117

„… ANSYS. In the next part, the material model is applied to theship propeller.Bend-twist couplingShip …” „… due to an effect calledbend-twist coupling.Figure 8.12: Setup for bend-twist coupling simulation test …” „… propeller.Bend-twist couplingShip propellers made of anisotropic material (like carbon fiber-reinforced polymers …”

Structural mechanics S. 5-20

„… basis for the numerical methods that arenecessary for partitioned coupling.The maritime applications …”

doi.org/10.51202/9783186360182

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Softwareagenten-basierte Berechnung interdisziplinärer gekoppelter Simulation

Matthias Jüttner

Reihe: Rechnerunterstützte Verfahren

Band 469 2017

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Literaturverzeichnis S. 98-110

„… Elektrotechnik, 2015. [189] B. Uekermann, B. Gatzhammer und M. Mehl, „Coupling Algorithms for Partitioned …” „… . Gatzhammer und M. Mehl, „A Parallel, Black-Box Coupling Algorithm for Fluid-Structure Interaction“, in …” „… , M. Wick und W. M. Rucker, „Experimental Evaluation of Numerical Errors for Multiphysics Coupling …”

doi.org/10.51202/9783186469205

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International Conference on Gears 2019

VDI Wissensforum GmbH (Hrsg.)

Reihe: VDI-Berichte

Band 2355 2019

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F. Andary, G. Jacobs, J. Berroth Application of pre-calculated gear mesh stiffness on elastic gear bodies in multi-body simulation S. 1087-1098

„… . Since the load application region partitioned on a per-tooth basis, the stiffness calculation is also …” „… Reduction Consistent with the approach in [12], each of the gear bodies is partitioned with a radial …” „… coupled to the load application region at the lower partitioning circle with a load distributing coupling …”

doi.org/10.51202/9783181023556

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Systematic Derivation of Objective Requirements on Vehicle Steering System

Martin Ralf Münster

Reihe: Verkehrstechnik/Fahrzeugtechnik

Band 819 2023

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Deriving Requirements on Subsystem Level S. 35-62

„… multiple DoF, so that the substructures may be connected by many pairs of couplingDoFs. Moreover, the …” „… CouplingObjective Criteria Vehicle LevelObjective Criteria Subsystem LevelSimulation Vehicle LevelSimulation …” „… system. The developed framework of requirement derivation andsubsystem (de-) coupling will then be used …”

doi.org/10.51202/9783186819123

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International Conference on Gears 2022

VDI Wissensforum GmbH (Hrsg.)

Reihe: VDI-Berichte

Band 2389 2022

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A. Zhang, J. Wei, M. Cao, B. Peng Dynamic modeling and accuracy evaluation method for complex irregular components of aviation transmission S. 573-584

„… does not account for the real-time coupling effect between the gear-shafting subsystem and the casing …” „… coupling with a gear-shafting subsystem can effectively achieve a trade-off between accuracy and efficiency …” „… series of nodes are set at the key points of the shafting, and the coupling relationship between adjacent …”

doi.org/10.51202/9783181023891

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Reactor network synthesis with guaranteed robust performance

Xiao Zhao

Reihe: Verfahrenstechnik

Band 952 2017

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Summary and outlook S. 133-140

„… represents the coupling of candidate CV and MV. Both, the flowrate variables and the control gain matrix, are …” „… as parametric uncertainties, we assumed that they can be partitioned into a mean value and a bounded …” „… ), (7.1e) refer to the state equations of nc PI controllers and the coupling of candidate CV and MV (not …”

doi.org/10.51202/9783186952035

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The hierarchical finite cell method for problems in structural mechanics

Meysam Joulaian

Reihe: Mechanik/Bruchmechanik

Band 348 2017

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Local enrichment of the FCM S. 72-110

„… enrichment Ne are involved. For the coupled terms Kbe and Keb = (Kbe)T, there is a coupling between the …” „… . One possible way is to compute the coupling terms and create the augmented stiffness matrix and load …” „… . This method is referred to as the monolithic approach. Alternatively, we can apply a partitioned …”

Bibliography S. 140-154

„… staggered coupling schemes for problems of thermoelasticity at finite strains. Computers & Mathematics with …” „… conditions and coupling of trimmed and non-conforming patches. International Journal for Numerical Methods in …” „… . S. Debus, and A. Düster. Convergence acceleration for partitioned simulations of the fluid-structure …”

doi.org/10.51202/9783186348180

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Theory and Application of the Lang-Gilles Observer for Distillation Processes

Maxim Stuckert

Reihe: Mess-, Steuerungs- und Regelungstechnik

Band 1253 2016

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Application of the Lang-Gilles observer in distillation control S. 97-118

„… values which are close to 1 except for two values. Furthermore, there are couplings between the …” „… former (see the fth column of the RGA matrix). As there is only a minor coupling between controllers r1 …” „… and r2, we adopt the partitioning of the model into three sub-models disregarding this coupling. The …”

doi.org/10.51202/9783186253088

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ELIV 2023

VDI Wissensforum GmbH (Hrsg.)

Reihe: VDI-Berichte

Band 2423 2023

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S. K S, Tata Elxsi, N. Velinov Software-Defined Vehicle: Combining Real-Time Safety Critical Functions with Cloud Connectivity S. 543-558

„… partitioned in two classes. The first is the base software stack - consisting of the RTOS, a TCP/IP …” „… acceleration, and in this project – a display controller. To prevent coupling the DMS framework with the …”

doi.org/10.51202/9783181024232

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The hierarchical finite cell method for nonlinear problems: Moment fitting quadratures, basis function removel, and remeshing

Simeon Hubrich

Reihe: Mechanik/Bruchmechanik

Band 355 2021

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Bibliography S. 154-169

„… Dirichlet boundary conditions and coupling of trimmed and non-conforming patches. International Journal for …” „… 143–178, Berlin, Heidelberg, 2010. Springer Berlin Heidelberg. [169] M. König. Partitioned Solution …”

doi.org/10.51202/9783186355188

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