Relaxing mixed integer optimal control problems using a time transformation

Relaxing mixed integer optimal control problems using a time transformation Thanks to the advancements in the digital era we are able to capture naturally grown and artificially manufactured microstructures with various scanning devices like CT and MRT and can transfer the digital image data to finite element models. In addition, there has been a permanent improvement in the quality of additive reproduction technology. Looking at the biomedical industry producing organic parts, porous materials saturated with fluids play an important role. For this reason, we also have to develop appropriate simulation technology providing a description for porous materials regarding the underlying microstructure. This contribution presents a numerical experiment for the flow through a porous body with different underlying microstructures applying the TPM2‐Method. The different macroscopic behavior for the displacements, pressure distribution, and volumetric fluid flow for an isotropic and two differently orientated anisotropic microstructures are shown in section 3. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Relaxing mixed integer optimal control problems using a time transformation

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710258
Publisher site
See Article on Publisher Site

Abstract

Thanks to the advancements in the digital era we are able to capture naturally grown and artificially manufactured microstructures with various scanning devices like CT and MRT and can transfer the digital image data to finite element models. In addition, there has been a permanent improvement in the quality of additive reproduction technology. Looking at the biomedical industry producing organic parts, porous materials saturated with fluids play an important role. For this reason, we also have to develop appropriate simulation technology providing a description for porous materials regarding the underlying microstructure. This contribution presents a numerical experiment for the flow through a porous body with different underlying microstructures applying the TPM2‐Method. The different macroscopic behavior for the displacements, pressure distribution, and volumetric fluid flow for an isotropic and two differently orientated anisotropic microstructures are shown in section 3. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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