Scalar advection schemes for ocean modelling on unstructured triangular grids |
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| Authors: | William Paul Budgell Anabela Oliveira Morten D Skogen |
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| Institution: | (1) Institute of Marine Research, P.O. Box 1870, Nordnes, 5817 Bergen, Norway;(2) Bjerknes Centre for Climate Research, Bergen, Norway;(3) Núcleo de Estuários e Zonas Costeiras, Departamento de Hidráulica e Ambiente, Laboratório Nacional de Engenharia Civil, Av. do Brasil, 101, 1700-066 Lisboa, Portugal |
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| Abstract: | Several schemes for scalar advection on unstructured triangular grids are assessed for possible use in ocean modelling applications.
Finite element, finite volume and finite volume–element approaches are evaluated. A series of tests, including a numerical
order of convergence analysis, idealized rotating cone and cylinder experiments, and transport of a tracer through the Stommel
Gyre representation of ocean basin-scale circulation, are carried out. Volume element Eulerian–Lagrangian and third-order
Runge-Kutta discontinuous Galerkin schemes are recommended for use in tracer studies. Taylor–Galerkin and second-order Runge–Kutta
discontinuous Galerkin are found to be robust and accurate second-order schemes. When positivity is required, a fluctuation
redistribution scheme was found to be an easily implemented, accurate, and computationally efficient approach.
Responsible editor: Phil Dyke |
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| Keywords: | Advection algorithms Unstructured grid Finite elements Ocean modeling |
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