Abstract
Unstructured grid ocean models are advantageous for simulating the coastal ocean and river-estuary-plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive, which limits their applicability to real-life problems. In this paper, we describe a novel discontinuous Galerkin (DG) finite element discretization for the hydrostatic equations. The formulation is fully conservative and second-order accurate in space and time. Monotonicity of the advection scheme is ensured by using a strong stability-preserving time integration method and slope limiters. Compared to previous DG models, advantages include a more accurate mode splitting method, revised viscosity formulation, and new second-order time integration scheme. We demonstrate that the model is capable of simulating baroclinic flows in the eddying regime with a suite of test cases. Numerical dissipation is well-controlled, being comparable or lower than in existing state-of-the-art structured grid models.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4359-4382 |
| Number of pages | 24 |
| Journal | Geoscientific Model Development |
| Volume | 11 |
| Issue number | 11 |
| DOIs | |
| State | Published - Oct 30 2018 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Modeling and Simulation
- Earth and Planetary Sciences(all)
Cite this
Thetis coastal ocean model : Discontinuous Galerkin discretization for the three-dimensional hydrostatic equations. / Kärnä, Tuomas; Kramer, Stephan C.; Mitchell, Lawrence; Ham, David A.; Piggott, Matthew D.; Baptista, Antonio.
In: Geoscientific Model Development, Vol. 11, No. 11, 30.10.2018, p. 4359-4382.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thetis coastal ocean model
T2 - Discontinuous Galerkin discretization for the three-dimensional hydrostatic equations
AU - Kärnä, Tuomas
AU - Kramer, Stephan C.
AU - Mitchell, Lawrence
AU - Ham, David A.
AU - Piggott, Matthew D.
AU - Baptista, Antonio
PY - 2018/10/30
Y1 - 2018/10/30
N2 - Unstructured grid ocean models are advantageous for simulating the coastal ocean and river-estuary-plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive, which limits their applicability to real-life problems. In this paper, we describe a novel discontinuous Galerkin (DG) finite element discretization for the hydrostatic equations. The formulation is fully conservative and second-order accurate in space and time. Monotonicity of the advection scheme is ensured by using a strong stability-preserving time integration method and slope limiters. Compared to previous DG models, advantages include a more accurate mode splitting method, revised viscosity formulation, and new second-order time integration scheme. We demonstrate that the model is capable of simulating baroclinic flows in the eddying regime with a suite of test cases. Numerical dissipation is well-controlled, being comparable or lower than in existing state-of-the-art structured grid models.
AB - Unstructured grid ocean models are advantageous for simulating the coastal ocean and river-estuary-plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive, which limits their applicability to real-life problems. In this paper, we describe a novel discontinuous Galerkin (DG) finite element discretization for the hydrostatic equations. The formulation is fully conservative and second-order accurate in space and time. Monotonicity of the advection scheme is ensured by using a strong stability-preserving time integration method and slope limiters. Compared to previous DG models, advantages include a more accurate mode splitting method, revised viscosity formulation, and new second-order time integration scheme. We demonstrate that the model is capable of simulating baroclinic flows in the eddying regime with a suite of test cases. Numerical dissipation is well-controlled, being comparable or lower than in existing state-of-the-art structured grid models.
UR - http://www.scopus.com/inward/record.url?scp=85055848412&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055848412&partnerID=8YFLogxK
U2 - 10.5194/gmd-11-4359-2018
DO - 10.5194/gmd-11-4359-2018
M3 - Article
VL - 11
SP - 4359
EP - 4382
JO - Geoscientific Model Development
JF - Geoscientific Model Development
SN - 1991-959X
IS - 11
ER -