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| Titel |
Numerical wave propagation for the triangular P1DG - P2 finite element pair |
| VerfasserIn |
Colin Cotter, David Ham |
| Konferenz |
EGU General Assembly 2010
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 12 (2010) |
| Datensatznummer |
250044995
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| Zusammenfassung |
| The P1DG - P2 finite element pair was introduced as a discretisation for ocean and
atmospheric flows which would have no pressure modes and which would preserve
stationary geostrophic states exactly. In this presentation we will demonstrate some
additional properties of this element pair which make it especially suitable for large
scale geophysical flows. In particular, we will both prove and show through actual
simulations that the discretisation is third order accurare for inertia-gravity waves
and Rossby waves even though it is only second order accurate for general flow
problems.
We will also show that the only spurious modes admitted by this element pair are
spurious inertial oscillations which have frequency f, and which do not propagate. A
restriction of the velocity space of this element will be proposed in which these modes
are not present thereby resulting in a discretisation completely free of spurious
modes. |
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