Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-8856
Main Title: An Accurate Finite Element Method for the Numerical Solution of Isothermal and Incompressible Flow of Viscous Fluid
Author(s): Abali, Bilen Emek
Type: Article
Language Code: en
Abstract: Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms—allowing a robust and accurate simulation for any process—are still missing. Either a very high computational cost is necessary for a direct numerical solution (DNS) or some limiting procedure is used by adding artificial dissipation to the system. These stabilization methods are useful; however, they are often applied relative to the element size such that a local monotonous convergence is challenging to acquire. We need a computational strategy for solving viscous fluid flow using solely the balance equations. In this work, we present a general procedure solving fluid mechanics problems without use of any stabilization or splitting schemes. Hence, its generalization to multiphysics applications is straightforward. We discuss emerging numerical problems and present the methodology rigorously. Implementation is achieved by using open-source packages and the accuracy as well as the robustness is demonstrated by comparing results to the closed-form solutions and also by solving well-known benchmarking problems.
URI: https://depositonce.tu-berlin.de/handle/11303/9835
http://dx.doi.org/10.14279/depositonce-8856
Issue Date: 8-Jan-2019
Date Available: 20-Aug-2019
DDC Class: 600 Technik, Technologie
Subject(s): finite element method
fluid dynamics
computation
viscous fluid flow
License: https://creativecommons.org/licenses/by/4.0/
Journal Title: Fluids
Publisher: MDPI
Publisher Place: Basel
Volume: 4
Issue: 1
Article Number: 5
Publisher DOI: 10.3390/fluids4010005
EISSN: 2311-5521
Appears in Collections:FG Kontinuumsmechanik und Materialtheorie » Publications

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