2007
DOI: 10.1002/fld.1663
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A new computational framework for multi‐scale ocean modelling based on adapting unstructured meshes

Abstract: SUMMARYA new modelling framework is presented for application to a range of three-dimensional (3D) multi-scale oceanographic problems. The approach is based upon a finite element discretization on an unstructured tetrahedral mesh which is optimized to represent highly complex geometries. Throughout a simulation the mesh is dynamically adapted in 3D to optimize the representation of evolving solution structures. The adaptive algorithm makes use of anisotropic measures of solution complexity and a load-balanced … Show more

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Cited by 156 publications
(135 citation statements)
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“…The model is based upon the fluid dynamics code Fluidity (Piggott et al, 2008), which solves the Navier-Stokes equations on a fully unstructured three-dimensional finite element mesh. The model formulation builds upon the work of Kimura et al (2013), with the addition of a large eddy simulation (LES) turbulence model (Smagorinsky, 1963) and the use of the synthetic eddy method (SEM) at the inlet (Jarrin et al, 2006).…”
Section: Plume Model and Submarine Melt Ratesmentioning
confidence: 99%
“…The model is based upon the fluid dynamics code Fluidity (Piggott et al, 2008), which solves the Navier-Stokes equations on a fully unstructured three-dimensional finite element mesh. The model formulation builds upon the work of Kimura et al (2013), with the addition of a large eddy simulation (LES) turbulence model (Smagorinsky, 1963) and the use of the synthetic eddy method (SEM) at the inlet (Jarrin et al, 2006).…”
Section: Plume Model and Submarine Melt Ratesmentioning
confidence: 99%
“…There exist standards already that tackle these challenges well. It is rather a new problem descriptor, like those for Fluidity (Piggott et al, 2008) and the TerraFERMA model of Wilson et al (2017), for fully describing the mesh generation problem specifically for geophysical model domains, following the approach that this requires solving the same types of challenges involved in numerical model set-up, which makes significant progress in meeting the tenets of Table 1.…”
Section: Discussionmentioning
confidence: 99%
“…For further comparison, the performance of the Navier-Stokes model is compared against an existing finite element code. Fluidity is a multi-purpose finite element CFD code with a diverse range of applications (see, for example, Piggott et al [61] and Davies et al [62]). Although a continuous adjoint model has previously been derived by hand [63,64], this is no longer available.…”
Section: Incompressible Navier-stokesmentioning
confidence: 99%