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Finite-volume scheme for the solution of integral boundary layer equations
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering. (Flight Dynamics)ORCID iD: 0000-0003-1604-4262
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering. (Flight Dynamics)ORCID iD: 0000-0002-3199-8534
2016 (English)In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 132, 62-71 p.Article in journal (Refereed) PublishedText
Abstract [en]

An unstructured-mesh finite-volume formulation for the solution of systems of steady conservation laws on embedded surfaces is presented. The formulation is invariant to the choice of local tangential coordinate systems and is stabilized by a novel up-winding scheme applicable also to mixed-hyperbolic systems. The formulation results in a system of non-linear equations which is solved by a quasi-Newton method. While the finite volume scheme is applicable to a range of conservation laws, it is here implemented for the solution of the integral boundary layer equations, as a first step in developing a fully coupled viscous-inviscid interaction method. For validation purposes, integral boundary layer quantities computed using a minimal set of three-dimensional turbulent integral boundary layer equations are compared to experimental data and an established computer code for two-dimensional problems. The validation shows that the proposed formulation is stable, yields a well-conditioned global Jacobian, is conservative on curved surfaces and invariant to rotation as well as convergent with regard to mesh refinement.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 132, 62-71 p.
Keyword [en]
Embedded surfaces, Finite-volume method, Integral boundary layer equations, Steady conservation laws, Unstructured meshes, Up-wind scheme
National Category
Other Engineering and Technologies not elsewhere specified
Identifiers
URN: urn:nbn:se:kth:diva-186926DOI: 10.1016/j.compfluid.2016.04.002ISI: 000375814700007ScopusID: 2-s2.0-84962911736OAI: oai:DiVA.org:kth-186926DiVA: diva2:930149
Note

QC 20160523

Available from: 2016-05-23 Created: 2016-05-16 Last updated: 2016-06-09Bibliographically approved

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Lokatt, MikaelaEller, David
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