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Lihong Feng Peter Benner Jan G. Korvink 《International journal for numerical methods in engineering》2013,94(1):84-110
A fast computational technique that speeds up the process of parametric macro‐model extraction is proposed. An efficient starting point is the technique of parametric model order reduction (PMOR). The key step in PMOR is the computation of a projection matrix V, which requires the computation of multiple moment matrices of the underlying system. In turn, for each moment matrix, a linear system with multiple right‐hand sides has to be solved. Usually, a considerable number of linear systems must be solved when the system includes more than two free parameters. If the original system is of very large size, the linear solution step is computationally expensive. In this paper, the subspace recycling algorithm outer generalized conjugate residual method combined with generalized minimal residual method with deflated restarting (GCRO‐DR), is considered as a basis to solve the sequence of linear systems. In particular, two more efficient recycling algorithms, G‐DRvar1 and G‐DRvar2, are proposed. Theoretical analysis and simulation results show that both the GCRO‐DR method and its variants G‐DRvar1 and G‐DRvar2 are very efficient when compared with the standard solvers. Furthermore, the presented algorithms overcome the bottleneck of a recently proposed subspace recycling method the modified Krylov recycling generalized minimal residual method. From these subspace recycling algorithms, a PMOR process for macro‐model extraction can be significantly accelerated. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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D. Kauzlarić J. Lienemann L. Pastewka A. Greiner J. G. Korvink 《Microsystem Technologies》2008,14(12):1789-1796
We investigate simulation approaches for the modelling of the primary shaping processes micro powder injection moulding and
micro casting. We could reproduce the segregation during micro powder injection moulding (MicroPIM) with a simulation using
particle methods. The phase field method allows for accurate prediction of the dynamics of solidification of a melt, whereby
model order reduction is used to limit the computational effort. The results give valuable advice for the process conduct
and the dimensioning of the micro parts. 相似文献
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Mager D. Peter A. Tin L. D. Fischer E. Smith P. J. Hennig J. Korvink J. G. 《IEEE transactions on medical imaging》2010,29(2):482-487
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Deng Yongbo Zhang Weihong Liu Zhenyu Zhu Jihong Korvink Jan G. 《Structural and Multidisciplinary Optimization》2020,61(6):2523-2556
Structural and Multidisciplinary Optimization - This paper presents the topology optimization of hierarchical microtextures for wetting behavior in the Cassie-Baxter mode, considering a structural... 相似文献
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This paper describes a C++ idiom for replacing types. This idiom allows effective and elegant implementations of patterns such as virtual object construction, message dispatching and tables. It also improves compile‐time checks and simultaneously allows rows to be added dynamically to tables.SmartEnums have been developed within a project of numerical software for microsystem simulation. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献
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Kauzlarić D Pastewka L Meyer H Heldele R Schulz M Weber O Piotter V Hausselt J Greiner A Korvink JG 《Philosophical transactions. Series A, Mathematical, physical, and engineering sciences》2011,369(1944):2320-2328
We present the application of the smoothed particle hydrodynamics (SPH) discretization scheme to Phillips' model for shear-induced particle migration in concentrated suspensions. This model provides an evolution equation for the scalar mean volume fraction of idealized spherical solid particles of equal diameter which is discretized by the SPH formalism. In order to obtain a discrete evolution equation with exact conservation properties we treat in fact the occupied volume of the solid particles as the degree of freedom for the fluid particles. We present simulation results in two- and three-dimensional channel flow. The two-dimensional results serve as a verification by a comparison to analytic solutions. The three-dimensional results are used for a comparison with experimental measurements obtained from computer tomography of injection moulded ceramic microparts. We observe the best agreement of measurements with snapshots of the transient simulation for a ratio D(c)/D(η)=0.1 of the two model parameters. 相似文献
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Emanuele Bertarelli Alberto Corigliano Andreas Greiner Jan G. Korvink 《Microsystem Technologies》2011,17(1):165-173
A novel design strategy to avoid pull-in occurrence in electrostatic micro electro mechanical systems is proposed. It combines
charge control with ring electrodes, on a circular geometry. This idea is introduced here for the design of efficient and
reliable high stroke electrostatic diaphragm micropumps, while it has a broad potential applicability. A minimal lumped one
degree-of-freedom model is derived and used to introduce and demonstrate the proposed approach for a circular plate geometry.
Finite element models are subsequently adopted for a more detailed device modelling. As expected, charge control exhibits
a stabilizing effect with respect to voltage drive, but not sufficient to achieve a full-range stability for the considered
geometry. When the electrode area is properly defined, stability range can be extended up to gap closure in the central part
of the membrane. In this configuration, the increase in voltage required for full-range device drive would be relevant, while
in charge control the penalty is considerably lower. Finally, loading conditions and geometrical parameters for an optimized
actuation are suggested. 相似文献
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