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Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets

Walter Arne, Nicole Marheineke, Andreas Meister, Stefan Schiessl, Raimund Wegener
2015 Journal of Computational Physics  
The spinning of slender viscous jets can be described asymptotically by one-dimensional models that consist of systems of partial and ordinary differential equations.  ...  In this paper we present the first instationary simulations of a rod in a rotational spinning process for arbitrary parameter ranges with free and fixed jet end, for which the hitherto investigations longed  ...  We have proposed a finite volume approach with Radau time integration for the viscous Cosserat rod model consisting of a system of partial and ordinary differential equations that becomes stiff for small  ... 
doi:10.1016/j.jcp.2015.03.042 fatcat:szt42lhl7rd35h7rb63jin6zyi

ASYMPTOTIC TRANSITION FROM COSSERAT ROD TO STRING MODELS FOR CURVED VISCOUS INERTIAL JETS

WALTER ARNE, NICOLE MARHEINEKE, RAIMUND WEGENER
2011 Mathematical Models and Methods in Applied Sciences  
In terms of slenderbody theory we show the asymptotic reduction of a viscous Cosserat rod to a string system for vanishing slenderness parameter.  ...  This work deals with the modeling and simulation of slender viscous jets exposed to gravity and rotation, as they occur in rotational spinning processes.  ...  We use the incompressible viscous Cosserat rod model of [2] that was derived for fiber jets in rotational spinning processes on the basis of the work on viscous rope coiling by Ribe [20, 21] .  ... 
doi:10.1142/s0218202511005635 fatcat:opzw7lvrqzb3fnne6gkfq3n7hq

Analysis of the fiber laydown quality in spunbond processes with simulation experiments evaluated by blocked neural networks [article]

Simone Gramsch and Alex Sarishvili and Andre Schmeißer
2020 arXiv   pre-print
This forms the basis for the prediction of the fiber laydown characteristics and enables a quick ranking of the significance of the influencing effects.  ...  We present a simulation framework for spunbond processes and use a design of experiments to investigate the cause-and-effect-relations of process and material parameters onto the fiber laydown on a conveyor  ...  described by stationary Stokes equations; simulation by standard finite element or finite volume methods and shape optimization for spin pack design Navier-Stokes equations with turbulence models for  ... 
arXiv:1911.06213v2 fatcat:io4b2xeibbcqdbudhmuifmbh7q

Analysis of the Fiber Laydown Quality in Spunbond Processes with Simulation Experiments Evaluated by Blocked Neural Networks

Simone Gramsch, Alex Sarishvili, Andre Schmeißer
2020 Advances in Polymer Technology  
This forms the basis for the prediction of the fiber laydown characteristics and enables a quick ranking of the significance of the influencing effects.  ...  We present a simulation framework for spunbond processes and use a design of experiments to investigate the cause-and-effect relations of process and material parameters on the fiber laydown on a conveyor  ...  Acknowledgments is work was developed in the Fraunhofer Cluster of Excellence "Cognitive Internet Technologies." e authors would like to thank Walter Arne for performing the CFD simulations.  ... 
doi:10.1155/2020/7648232 fatcat:ylsxuab5lrcthpnmzlxqynrm54

Application of general semi-infinite programming to lapidary cutting problems

Anton Winterfeld
2008 European Journal of Operational Research  
It is shown, that the convexity assumption needed for the convergence of the algorithm can be satisfied by appropriate modelling.  ...  An iterative process consisting of GSIP optimization and adaptive refinement steps is then employed to obtain an optimal solution which is also feasible for the original problem.  ...  Keywords: fiber-fluid interaction; Cosserat rod; turbulence modeling; Kolmogorov's energy spectrum; double-velocity correlations; differentiable Gaussian fields Part II: Specific Taylor Drag In [12], an  ... 
doi:10.1016/j.ejor.2007.01.057 fatcat:6szzfosbgngsbhzmqpc3xac6ry

Domain Decomposition Approach for Automatic Parallel Generation of Tetrahedral Grids

E.G. Ivanov, H. Andrä, A.N. Kudryavtsev
2006 Computational Methods in Applied Mathematics  
The geometrical domain decomposition approach has been applied. It allows us to use classic 2D and 3D high-quality Delaunay mesh generators for independent and simultaneous volume meshing.  ...  Different aspects of load balancing methods are also explored in the paper. The MPI library and SPMD model are used for parallel grid generator implementation. Several 3D examples are shown.  ...  Keywords: fiber-fluid interaction; Cosserat rod; turbulence modeling; Kolmogorov's energy spectrum; double-velocity correlations; differentiable Gaussian fields Keywords: Flooding, simulation, urban elevation  ... 
doi:10.2478/cmam-2006-0009 fatcat:kfrmskwu4bgdpi3p4eyqyjvjb4

A Meshfree Method for Simulations of Interactions between Fluids and Flexible Structures [chapter]

Sudarshan Tiwari, Sergey Antonov, Dietmar Hietel, Jörg Kuhnert, Ferdinand Olawsky, Raimund Wegener
Lecture Notes in Computational Science and Engineering  
The dynamics of the sheet are computed by a finite difference method. We show the suitability of the meshfree method for simulations of fluid-structure interaction in several applications.  ...  This pressure difference is computed using the Finite Pointset Method (FPM) for the incompressible Navier-Stokes equations. FPM is a meshfree, Lagrangian particle method.  ...  Acknowledgment: We would like to thank the "Stiftung Rheinland-Pfalz für Innovation" for the financial support of our research.  ... 
doi:10.1007/978-3-540-46222-4_15 fatcat:ely6zir2a5ed3pozot4ympomj4