Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection
Abstract
In a previous article a characteristic discontinuous Galerkin (CDG) advection scheme was presented for tracer transport (Lee et al., 2016). The scheme is conservative, unconditionally stable with respect to time step and scales sub-linearly with the number of tracers being advected. Here in this paper, we present the implementation of the CDG advection scheme for tracer transport within MPAS-Ocean, a Boussinesque unstructured grid ocean model with an arbitrary Lagrangian Eulerian vertical coordinate. The scheme is implemented in both the vertical and horizontal dimensions, and special care is taken to ensure that the scheme remains conservative in the context of moving vertical layers. Consistency is ensured with respect to the dynamics by a renormalization of the fluxes with respect to the volume fluxes derived from the continuity equation. For spherical implementations, the intersection of the flux swept regions and the Eulerian grid are determined for great circle arcs, and the fluxes and element assembly are performed on the plane via a length preserving projection. Lastly, solutions are presented for a suite of test cases and comparisons made to the existing flux corrected transport scheme in MPAS-Ocean.
- Authors:
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER); USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1989728
- Alternate Identifier(s):
- OSTI ID: 1477647; OSTI ID: 1636880
- Report Number(s):
- LA-UR-17-22608
Journal ID: ISSN 0898-1221; S0898122118305364; PII: S0898122118305364
- Grant/Contract Number:
- AC52-06NA25396; LA-UR-17-22608
- Resource Type:
- Published Article
- Journal Name:
- Computers and Mathematics with Applications (Oxford)
- Additional Journal Information:
- Journal Name: Computers and Mathematics with Applications (Oxford) Journal Volume: 78 Journal Issue: 2; Journal ID: ISSN 0898-1221
- Publisher:
- Elsevier
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Discontinuous Galerkin; Semi Lagrangian; Advection equation; Unstructured grid; Arbitrary Lagrangian Eulerian vertical coordinate
Citation Formats
Lee, D., Petersen, M., Lowrie, R., and Ringler, T. Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection. United Kingdom: N. p., 2019.
Web. doi:10.1016/j.camwa.2018.09.024.
Lee, D., Petersen, M., Lowrie, R., & Ringler, T. Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection. United Kingdom. https://doi.org/10.1016/j.camwa.2018.09.024
Lee, D., Petersen, M., Lowrie, R., and Ringler, T. Mon .
"Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection". United Kingdom. https://doi.org/10.1016/j.camwa.2018.09.024.
@article{osti_1989728,
title = {Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection},
author = {Lee, D. and Petersen, M. and Lowrie, R. and Ringler, T.},
abstractNote = {In a previous article a characteristic discontinuous Galerkin (CDG) advection scheme was presented for tracer transport (Lee et al., 2016). The scheme is conservative, unconditionally stable with respect to time step and scales sub-linearly with the number of tracers being advected. Here in this paper, we present the implementation of the CDG advection scheme for tracer transport within MPAS-Ocean, a Boussinesque unstructured grid ocean model with an arbitrary Lagrangian Eulerian vertical coordinate. The scheme is implemented in both the vertical and horizontal dimensions, and special care is taken to ensure that the scheme remains conservative in the context of moving vertical layers. Consistency is ensured with respect to the dynamics by a renormalization of the fluxes with respect to the volume fluxes derived from the continuity equation. For spherical implementations, the intersection of the flux swept regions and the Eulerian grid are determined for great circle arcs, and the fluxes and element assembly are performed on the plane via a length preserving projection. Lastly, solutions are presented for a suite of test cases and comparisons made to the existing flux corrected transport scheme in MPAS-Ocean.},
doi = {10.1016/j.camwa.2018.09.024},
journal = {Computers and Mathematics with Applications (Oxford)},
number = 2,
volume = 78,
place = {United Kingdom},
year = {Mon Jul 01 00:00:00 EDT 2019},
month = {Mon Jul 01 00:00:00 EDT 2019}
}
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https://doi.org/10.1016/j.camwa.2018.09.024
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