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Fast, Unstructured-Mesh Finite-Element Method for Nonlinear Subsonic Flow
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Flight Dynamics.ORCID iD: 0000-0002-3199-8534
2012 (English)In: Journal of Aircraft, ISSN 0021-8669, E-ISSN 1533-3868, Vol. 49, no 5, 1471-1479 p.Article in journal (Refereed) Published
Abstract [en]

A variable-order finite-element method for the solution of the steady nonlinear potential flow equations is presented. To achieve robustness and computational efficiency, the formulation is restricted to purely subsonic flow by means of a density Modification in sonic flow regions. A test case that triggers the activation of this modification is presented to show that the method yields pressure results that are very close to those obtained with a mature Euler solver while reducing computational cost by an order of magnitude. Linear and quadratic elements are implemented, and the substantial benefit of using higher-order elements is demonstrated by means of a mesh-convergence study, showing how the convergence of induced drag and neutral point location is improved by the use or quadratic elements. For large surface meshes, the computational cost is found to be competitive with a linearized-potential boundary-element code accelerated by panel clustering.

Place, publisher, year, edition, pages
American Institute of Aeronautics and Astronautics, 2012. Vol. 49, no 5, 1471-1479 p.
Keyword [en]
Finite elements, potential flow, aerodynamics
National Category
Aerospace Engineering
Identifiers
URN: urn:nbn:se:kth:diva-104608DOI: 10.2514/1.C031738ISI: 000309736200028Scopus ID: 2-s2.0-84868565749OAI: oai:DiVA.org:kth-104608DiVA: diva2:565349
Note

QC 20121108

Available from: 2012-11-08 Created: 2012-11-07 Last updated: 2017-12-07Bibliographically approved

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Eller, David

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