Cristin-resultat-ID: 917540
Sist endret: 21. januar 2015, 15:07
NVI-rapporteringsår: 2012
Resultat
Vitenskapelig artikkel
2012

Velocity interpolation and streamline tracing on irregular geometries

Bidragsytere:
  • Runhild Aae Klausen
  • Atgeirr Flø Rasmussen og
  • Annette Stephansen

Tidsskrift

Computational Geosciences
ISSN 1420-0597
e-ISSN 1573-1499
NVI-nivå 1

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2012
Volum: 16
Hefte: 2
Sider: 261 - 276

Importkilder

Scopus-ID: 2-s2.0-84857922600
Isi-ID: 000303583500005

Beskrivelse Beskrivelse

Tittel

Velocity interpolation and streamline tracing on irregular geometries

Sammendrag

Streamline tracing on irregular grids requires reliable interpolation of velocity fields. We propose a new method for direct streamline tracing on polygon and polytope cells. While some numerical methods provide a basis function that can be used for interpolation, other methods provide only the fluxes at the faces of the elements. We introduce the concept of full- and raw-field methods. Full-field methods have built-in interpolation but are often not defined on general grids such as polygonal and polyhedral grids which we examine here. Also, reliability issues may arise on non-simplicial meshes in terms of not being able to reproduce constant velocity fields. We propose an interpolation in H(div) and H(curl) valid on general grids that is based on barycentric coordinates and that reproduces uniform flow. The interpolation can be used to compute the streamline directly on the complex cell geometry. The method generalizes to convex polytopes in 3D, with a restriction on the polytope topology near corners that is shown to be satisfied by several popular grid types. Numerical results confirm that the method is applicable to general grids and preserves uniform flow.

Bidragsytere

Runhild Aae Klausen

  • Tilknyttet:
    Forfatter
    ved Senter for matematikk for anvendelser ved Universitetet i Oslo

Atgeirr Flø Rasmussen

  • Tilknyttet:
    Forfatter
    ved Mathematics and Cybernetics ved SINTEF AS

Annette Stephansen

  • Tilknyttet:
    Forfatter
    ved NORCE Energi og teknologi ved NORCE Norwegian Research Centre AS
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