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A fully coupled finite volume solver for the solution of incompressible flows on locally refined non-matching block-structured grids

A fully coupled finite volume solver for the solution of inc...

引用

6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013

作者： Falk, Ulrich Schäfer, Michael Institute of Numerical Methods in Mechanical Engineering Technical University Darmstadt Dolivostraße 15 64293 Darmstadt Germany

A fully coupled solver for the solution of steady laminar incompressible flow problems on locally refined non-matching block-structured grids that promises improved convergence properties is presented. For this a coupled velocity-pressure algorithm developed by Darwish [1] that solves the momentum and pressure equations simultaneously is extended correspondingly. The spatial finite-volume discretisation applied is of second- order accuracy. All blocks are implicitly coupled and the method is fully conservative. The newly developed method is verified via comparisons with manufactured solutions. Its performance is evaluated by systematic comparisons with standard segregated pressure- correction solution techniques for representative test cases.

关键词： Computational fluid dynamics

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A DEEP LEARNING APPROACH FOR CURVATURE PREDICTION IN ALGEBRAIC VOLUME OF FLUID methods 9

A DEEP LEARNING APPROACH FOR CURVATURE PREDICTION IN ALGEBRA...

引用

9th International Conference on Computational methods for Coupled Problems in Science and engineering, COUPLED PROBLEMS 2021

作者： Kraus, Zacharias Friedrich, Jonas Köhler, Felix Schäfer, Michael Institute of Numerical Methods in Mechanical Engineering Technical University of Darmstadt Dolivostraße 15 Darmstadt64293 Germany

The accurate prediction of the curvature of fluid-fluid interfaces is crucial for appropriately modeling the surface forces when computing two-phase flows with immiscible fluids. The volume of fluid (VOF) method is often used for these computations to specify the different fluids and the interface by the so-called volume fraction field. In this study, a deep artificial neural network is trained to predict the interface curvature from the volume fraction values. This approach is investigated within an algebraic VOF framework. A rudimentary interface resharpening algorithm is introduced for the input stencils to enhance the accuracy and robustness when the interface can not be captured entirely sharp. The performance of different neural network architectures is evaluated by generic test data and the computation of two oscillating droplet flow configurations. © 2021 9th International Conference on Computational methods for Coupled Problems in Science and engineering, COUPLED PROBLEMS 2021. All rights reserved.

关键词： Volume fraction

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Acoustics simulation in the presence of moving interfaces in multiphase flows 6

Acoustics simulation in the presence of moving interfaces in...

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6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018

作者： Friedrich, Jonas Schäfer, Michael Institute of Numerical Methods in Mechanical Engineering Technische Universität Darmstadt Dolivostraße 15 Darmstadt64293 Germany

ISBN: (纸本)9788494731167

numerical simulations can help to understand the mechanisms of sound producing sources. In this work a numerical scheme for calculating surface tension dominated multiphase flows coupled with acoustics is presented. The Volume-of-Fluid (VOF) method is used to calculate the incompressible multiphase flow. Surface tension is taken into account by the Continuum Surface Force (CSF) method. An Expansion about Incompressible Flow (EIF) approach using the Linearized Euler Equations (LEE) is employed for the acoustics. The LEE are valid in each phase independently of the material parameters, but not at the interface. When the interface moves, unphysical acoustic sources arise. An approach which suppresses the sources in the interface region is applied. Comparing the new approach with the unchanged LEE in a moving drop test case, it is shown that the parasitic sound vanishes. An elliptic drop oscillating in a resting background flow serves as a second test case, in which the moving interface has to produce sound. A good agreement under 2.5 % between the frequencies of the oscillation and the acoustic pressure emitted by the drop is achieved. copyright © Crown copyright (2018).All right reserved.

关键词： Multiphase flow

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A NURBS-based approach for shape and topology optimization of flow domains 6

A NURBS-based approach for shape and topology optimization o...

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6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018

作者： Munz, Jakob Schäfer, Michael Institute of Numerical Methods in Mechanical Engineering Technische Universität Darmstadt Dolivostraße 15 Darmstadt64293 Germany

ISBN: (纸本)9788494731167

In the present work a NURBS-based framework for shape and topology optimization is presented. The methodology uses fixed grids with immersed boundaries based on a Brinkman penalization method. Compared to other available approaches for topology optimization the number of design variables is reduced and a mathematical description of the solid boundaries is given by NURBS. Two test cases are used to investigate the presented method. The first one compares the proposed method with a traditional shape optimization approach using body-fitted grids. The second one proves the capability of the method for topological changes of the flow domain during the optimization process. copyright © Crown copyright (2018).All right reserved.

关键词： Navier Stokes equations

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A fourth-order compact finite volume scheme for the convection-diffusion equation 9

A fourth-order compact finite volume scheme for the convecti...

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9th International Conference on Spectral and High Order methods, ICOSAHOM 2012

作者： Baur, Christine Schäfer, Michael Institute of Numerical Methods in Mechanical Engineering Technische Universität Darmstadt Dolivostr. 15 Darmstadt64293 Germany

ISBN: (纸本)9783319016009

A fourth-order compact scheme for the convection-diffusion equation is presented. To adopt this approach to non-Cartesian grids a coordinate transformation is applied. The convection-diffusion equation is solved with a three-dimensional finite volume solver using boundary fitted, block-structured grids. The grid arrangement is collocated. The verification of the fourth-order method is done for analytical test cases. To show the influence of the boundary conditions some calculations with various conditions are performed. Furthermore, the grid dependance of solutions is studied. It is shown that the proposed approach constitutes an efficient high-order solution method for the convection-diffusion equation. © Springer International Publishing Switzerland 2014.

关键词： Diffusion in liquids

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numerical STUDY ON THE FLUID-STRUCTURE INTERACTION AND AERODYNAMIC NOISE RADIATION OF A MEMBRANE AIRFOIL 9

NUMERICAL STUDY ON THE FLUID-STRUCTURE INTERACTION AND AEROD...

引用

9th International Conference on Computational methods for Coupled Problems in Science and engineering, COUPLED PROBLEMS 2021

作者： Kolb, Elena Schäfer, Michael Institute of Numerical Methods in Mechanical Engineering Technische Universität Darmstadt Dolivostraße 15 Darmstadt64293 Germany

This paper investigates the fluid-structure interaction phenomena and their effect on the aerodynamic noise radiation observed for a membrane airfoil subjected to a turbulent flow at a fixed angle of attack α = 20° . For this purpose, two cases with different Reynolds numbers (Re = 53,100 and Re = 79,700) are simulated. The applied partitioned fluid-structure interaction approach uses large eddy simulations to predict the incompressible flow problem and includes geometric non-linear effects for the structural problem. Following a hybrid method based on a hydrodynamic/acoustic splitting technique, the incompressible flow field solution provides the acoustic source term for the aeroacoustic computation. The results suggest a coupling between the vortex shedding, the dynamic structural response and the radiated aerodynamic sound for this configuration. © 2021 9th International Conference on Computational methods for Coupled Problems in Science and engineering, COUPLED PROBLEMS 2021. All rights reserved.

关键词： Reynolds number

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Efficient numerical simulation and optimization of fluid-structure interaction 1

引用

1st International Workshop on Computational engineering - Fluid-Structure Interactions, FSI 2009

作者： Schäfer, M. Sternel, D.C. Becker, G. Pironkov, P. Institute of Numerical Methods in Mechanical Engineering Technische Universität Darmstadt Dolivostr. 15 64293 Darmstadt Germany

ISBN: (数字)9783642142062

ISBN: (纸本)9783642142055

The paper concerns the efficient numerical simulation and optimization of fluid-structure interaction (FSI) problems. The basis is an implicit partitioned solution approach involving the finite-volume flow solver FASTEST, the finite-element structural solver FEAP, and the coupling interface MpCCI. Special emphasis is given to the grid moving techniques for which algebraic and elliptic approaches are considered. The possibilities for accelerating the computations by the usage of multigrid methods, adaptive underrelaxation, and displacement prediction are discussed. A concept for integrating the FSI solver into an optimization procedure for FSI problems is presented. numerical results are given to illustrate the capabilities of the approaches considered. © 2011 Springer.

关键词： Fluid structure interaction

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Acceleration of sampling methods for uncertainty quantification in computational fluid dynamics

Acceleration of sampling methods for uncertainty quantificat...

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作者： Thiem, C.W.T. Schäfer, M. Institute of Numerical Methods in Mechanical Engineering Graduate School Computational Engineering Technische Universität Darmstadt Germany

This paper presents a method to reduce the computation time of sampling methods for uncertainty quantification (UQ) in computational fluid dynamics (CFD) for steadystate flow problems. The acceleration method takes advantage of numerical properties of the mentioned procedure for UQ as well as of a finite-volume method based CFD solver. In the latter it is about the characteristic that the flow field is solved by an iterative procedure. Through that the number of iterations until convergence and hence the computing time depends among others on the initially chosen solution. This implies that the solving process takes less time the better the chosen initial solution is. For instance, good initial solutions for flow problems that are connected with UQ are previously calculated flow fields of other sampling points, because there are only small variations in parameters. This, combined with the property of sampling methods that all necessary sample points can be computed independently of each other, is the basic idea of our acceleration method. Thus, there exist favorable and unfavorable orders to calculate the sampling points. Accordingly, the presented technique is a method to optimize the order in which the sampling points should be calculated with respect to the computation time. © Civil-Comp Press, 2014.

关键词： Computational fluid dynamics

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Some remarks on parametric excitation in circulatory systems

Some remarks on parametric excitation in circulatory systems

引用

89th Annual Meeting on the International Association of Applied Mathematics and Mechanics, GAMM 2018

作者： Karev, Artem Debroeck, Lara Hagedorn, Peter Technische Universität Darmstadt Institute of Numerical Methods in Mechanical Engineering Dolivostr. 15 Darmstadt64293 Germany

Dynamical systems with time-periodic coefficients, i.e. with parametric excitation, have been studied in different fields for over a hundred years. It is well known that the presence of parametric excitation acts mostly destabilizing, leading to the emergence of instability regions depending on the amplitude and frequency of excitation. However, most of the work is done on systems with synchronous parametric excitation, while there are only few papers dealing with out-of-phase time-periodicity. At the same time little to no research in this context is done on systems containing gyroscopic or circulatory terms. The present paper demonstrates different approaches for stability assessment of time-periodic systems featuring nonconservative terms. In particular, out-of-phase parametric excitation as well as circulatory forces are considered in an example which is treated analytically and numerically. The derived stability boundaries show that the interaction of both features leads to the occurrence of rather unexpected resonance areas. The results extend the understanding of the influence of parametric excitation and encourage study of more general systems. © 2018 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.

关键词： Dynamical systems

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Dynamic two-way parallelization of non-intrusive methods for uncertainty quantification 3rd

Dynamic two-way parallelization of non-intrusive methods for...

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3rd International Workshop on Computational engineering, CE 2014

作者： Thiem, C. Schäfer, M. Institute of Numerical Methods in Mechanical Engineering Graduate School Computational Engineering Technische Universität Darmstadt Dolivostr. 15 DarmstadtD-64293 Germany

ISBN: (纸本)9783319229966

This work deals with a two-way parallelizationmethod of numerical flow simulations under uncertainties with sampling methods for the uncertainty quantification. In general, for such simulations, there are two possibilities to distribute the computation on multiple processors in order to reduce the overall computing time. One approach is to divide the flow domain into several blocks which can be calculated by different processors. The other is to solve the various independent deterministic problems that arise from the sampling method for uncertainty quantification in parallel. Both methods have advantages and disadvantages and can be applied simultaneously, depending on the provided number of processors for the simulation. The presented method assigns the available processors dynamically to both parallelization methods during the simulation of the uncertain flow problem. The aim is to reduce the overall computing time compared to a static parallelization strategy. © Springer International Publishing Switzerland 2015.

关键词： numerical methods

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