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

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Marcel König

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

Series: Mechanik/Bruchmechanik

Volume 351 2018

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Coupled Problems S. 42-97

„… has converged. Last but not least, several convergence acceleration schemes are proposed and …” „… process and accelerate convergence, the use of an appropriate convergence acceleration scheme is …” „… indispensable. Numerous convergence acceleration schemes will therefore be discussed in the present thesis. 44 …”

Titelei/Inhaltsverzeichnis S. I-XVI

„… . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.7 Convergence Acceleration Schemes . . . . . . . . . . . . . . . . . . . . . . 83 4.7.1 Constant …” „… Convergence Acceleration Schemes . . . . . . . . . . . . . . . . . . 129 5.6 Adapter Data Structures …” „… element in the reference configuration A Convergence acceleration scheme b Body force vector Bk Influence …”

Software Library comana S. 98-157

„… the application of the predictor or convergence acceleration methods that manipulate a plain numeric …” „… available. 5.5.3 Convergence Acceleration Schemes It has already been discussed in Chapter 4 that a …” „… convergence acceleration scheme is essential to stabilize the partitioned solution procedure and to reduce the …”

Benchmark Problems S. 158-217

„… procedure as necessary – and to exchange the predictor, interpolation technique, or convergence acceleration …” „… convergence acceleration schemes proposed in Section 4.7. For this study, the convergence tolerance is further …” „… convergence criterion is fulfilled – and it is especially the convergence acceleration schemes which cannot be …”

Conclusions and Outlook S. 241-251

„… within a time increment until convergence is achieved, the use of a convergence acceleration scheme is …” „… advisable. A broad range of different convergence acceleration schemes based on vector sequence acceleration …” „… to stability issues or to poor convergence rates, and further research must be invested to achieve …”

Introduction S. 1-4

„… convergence acceleration schemes, which considerably reduce the number of required implicit iterations within …” „… computational efficiency. Furthermore, convergence acceleration schemes are recapitulated, adapted to the …” „… , adaptive time stepping, and the selection of different predictor, interpolation, and convergence …”

Bibliography S. 252-266

„… . [78] K. Iguchi. “Convergence property of Aitken’s Δ2-process and the applicable acceleration process …” „… Applications 74 (2017), pp. 1675–1689. [135] L. Radtke et al. “Convergence acceleration for partitioned …” „… ”. In: Transactions of FAMENA 30.2 (2006), pp. 1–20. [86] A. Jennings. “Accelerating the convergence of …”

Advanced Applications S. 218-240

„… absolute convergence criterion ‖rkj+1‖2 < εabs = 10−2 or the relative criterion ‖rkj+1‖2/‖r0j+1‖2 < εrel …” „… solution procedure requires 6.57 iterations on average to reach the convergence criterion. Figure 7.5 …” „… as the translational motion and acceleration of the towerhead versus time. In case of the JONSWAP …”

doi.org/10.51202/9783186351180

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

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Lars Radtke

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

Series: Mechanik/Bruchmechanik

Volume 353 2020

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Numerical investigations S. 153-219

„… algorithms and convergence acceleration schemes are investigated in terms of robustness and efficiency …” „… of the introduced coupling algorithms and convergence acceleration methods. 183 5 Numerical …” „… convergence acceleration methods. Left: System behavior over time. Right: Indexing of the point masses and …”

Titelei/Inhaltsverzeichnis S. I-X

„… parallel coupling algorithms as well as different methods for convergence acceleration, spatial …” „… . . . . . . . . . . . . . . . . . 112 4.3.1 Coupling algorithms . . . . . . . . . . . . . . . . . . 113 4.3.2 Convergence acceleration …” „… acceleration, spatial interpolation and temporal extrapolation of coupling quantities as well as convergence …”

Summary and Outlook S. 253-256

„… investigation of convergence acceleration methods that ensure stability and efficiency despite this nature of …” „… acceleration methods and predictors may even be applied to improve the convergence of vector sequences out of …” „… the problem. Together with predictors and suitable convergence criteria, they were used in combination …”

Numerical methods S. 69-152

„… building blocks such as convergence acceleration schemes, predictors, and interpolation methods. The …” „… is likely to suffer from instabilities. To improve the stability, convergence acceleration methods …” „… data processing blocks, namely convergence acceleration methods (Section 4.3.2), predictors (Section …”

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

„… behavior and lead to instabilities. The development of convergence acceleration methods that reduce the …” „… managers to enhance the flexibility of developing novel coupling algorithms and convergence acceleration …” „… in [163], novel convergence acceleration methods as the one proposed by [51] can yield stable …”

Introduction S. 1-5

„… single-field solvers) and convergence acceleration scheme (method to modify the result obtained from one solver …” „… convergence characteristics. In order to use the comparably coarse computational meshes that characterize this …”

Bibliography S. 269-288

„… . 1675–1689. [163] L. Radtke, A. Larena-Avellaneda, E. S. Debus, and A. Düster. “Convergence acceleration for …” „… 40.1 (2008), pp. 367–393. [138] A. J. Macleod. “Acceleration of vector sequences by multi-dimensional …”

doi.org/10.51202/9783186353184

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

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Patrick Erbts

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

Series: Mechanik/Bruchmechanik

Volume 345 2016

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Solution of coupled problems S. 79-144

„… comparison with monolithic schemes, algorithms to improve the convergence by means of acceleration methods …” „… (4.30) can be achieved. The convergence acceleration of vector sequences is a solid research field in …” „… Aitken’s Δ2-process for convergence acceleration. Some of them shall be briefly reviewed here. A detailed …”

Numerical examples S. 145-170

„… additional field. For this example, all issues discussed in Chapter 4 – convergence acceleration, data …” „… . Acceleration schemes are employed to improve the convergence. The entire coupling strategy is outlined in …” „… performance of the convergence acceleration schemes. In particular, the Dynamic Secant Relaxation (DSR) and …”

Appendix S. 174-185

„… ] = [ 637.308 119.336 ] W . (A.13) A.2. Vector sequence acceleration methods 177 A.2 Vector sequence …” „… acceleration methods The vector sequence acceleration methods generate sets of transformed vectors which can be …” „… exhibits better convergence properties. Based on this definition, j is the column index that denotes the …”

Titelei/Inhaltsverzeichnis S. I-XVI

„… – Numerical thermal radiation – Convergence acceleration – Fluid-structure interaction – Coupled problems …” „… coupling algorithms is carried out to improve the convergence of the partitioned solution procedure …” „… formulation . . . . . . . . . . . . . . . . . . . . . 81 4.2 Convergence acceeleration and stabilization …”

Conclusions and outlook S. 171-173

„… convergence accelerationmethods are applied. As demonstrated for this example, the point of application of …” „… vector sequence acceleration methods are applied. However, in-depth performance studies on simple and …” „… academic examples show that these procedures cannot achieve the same convergence rates as Aitken relaxation …”

Introduction S. 1-7

„… fields to be called in. Moreover, the point of application of the convergence acceleration methods during …” „… convergence rates and, moreover, data need to be transferred in every iteration. On the other hand, the …” „… . Such algorithms serve to increase the stability itself, and they also improve the convergence …”

Bibliography S. 186-204

„… . Convergence acceleration during the 20th century. Journal of Computational and Applied Mathematics …” „… and superlinear convergence of quasi-Newton methods. Journal of the Institute of Mathematics and its …” „… Notices Royal Astronomical Society, 78:28–36, 1917. [95] A. Jennings. Accelerating the Convergence of …”

doi.org/10.51202/9783186345189

Sascha Steyer - Grid-Based Object Tracking

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Sascha Steyer

Grid-Based Object Tracking

Series: Mess-, Steuerungs- und Regelungstechnik

Volume 1272 2021

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Evaluation S. 127-164

„… camera-based dynamic occupancy convergence is further evaluated for two more urban scenarios that contain …” „… indicating the accumulation as well as the slight convergence of the static environment. Static and dynamic …” „… drawback of that approach. Although particles at the road boundaries show a slow but correct convergence …”

Titelei/Inhaltsverzeichnis S. I-XII

„… - and Camera-Based Occupancy Classification . . 58 3.4.4 Adapted Occupancy Convergence by Object …” „… . Abbreviations CTRA Constant Turn Rate and Acceleration (motion model) DST Dempster–Shafer Theory of evidence [34 …” „… classification fD Function for the particle-based convergence toward dynamic occupancy (D) βS, βD Sensor-based …”

Object State Estimation S. 101-126

„… filtered by a Kalman filter. A constant 2-D acceleration model is used by decoupling the x- and y-direction …” „… state estimation on the object-level can be robustly derived, e.g., the velocity or acceleration of the …” „… corresponding acceleration a = v̇, and the orientation φ with the turn rate ω = φ̇. 105 5 Object State …”

doi.org/10.51202/9783186272089

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VDI Wissensforum GmbH (ed.)

ELIV 2021

Series: VDI-Berichte

Volume 2384 2021

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L. Gonzales-Fuentes, M. Harihar, M. Cassol Trajectory tracking using Neural Network for Autonomous Driving Systems S. 75-82

„… longitudinal acceleration/decelation of automobiles and ride comfort,“ The Japanese journal of ergonomics, Bd …” „… sample-based methodology is evaluated in terms of convergence to the desired trajectory and error measurement …” „… car [7]. For instance lack of constraint in lateral acceleration can cause a car to understeer and …”

doi.org/10.51202/9783181023846

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