skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Tracer transport within an unstructured grid ocean model using characteristic discontinuous Galerkin advection

Journal Article · · Computers and Mathematics with Applications (Oxford)
; ; ;

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Biological and Environmental Research (BER); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-06NA25396; LA-UR-17-22608
OSTI ID:
1989728
Alternate ID(s):
OSTI ID: 1477647; OSTI ID: 1636880
Report Number(s):
LA-UR-17-22608; S0898122118305364; PII: S0898122118305364
Journal Information:
Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Vol. 78 Journal Issue: 2; ISSN 0898-1221
Publisher:
ElsevierCopyright Statement
Country of Publication:
United Kingdom
Language:
English
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

References (20)

Fully multidimensional flux-corrected transport algorithms for fluids journal June 1979
An Incremental Remapping Transport Scheme on a Spherical Geodesic Grid journal August 2005
Incremental Remapping as a Transport/Advection Algorithm journal May 2000
A multi-resolution approach to global ocean modeling journal September 2013
Anisotropic slope limiting for discontinuous Galerkin methods journal January 2017
An overview of research on Eulerian–Lagrangian localized adjoint methods (ELLAM) journal August 2002
An efficient WENO limiter for discontinuous Galerkin transport scheme on the cubed sphere journal September 2015
Evaluation of the arbitrary Lagrangian–Eulerian vertical coordinate method in the MPAS-Ocean model journal February 2015
Spurious dianeutral mixing and the role of momentum closure journal January 2012
A simple weighted essentially nonoscillatory limiter for Runge–Kutta discontinuous Galerkin methods journal January 2013
An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation journal December 1990
On Mass Conservation in High-Order High-Resolution Rigorous Remapping Schemes on the Sphere journal June 2013
A compatible and conservative spectral element method on unstructured grids journal August 2010
A Conservative Semi-Lagrangian Discontinuous Galerkin Scheme on the Cubed Sphere journal January 2014
A standard test case suite for two-dimensional linear transport on the sphere journal January 2012
A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid journal March 2010
A vertex-based hierarchical slope limiter for <mml:math altimg="si27.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>p</mml:mi></mml:math>-adaptive discontinuous Galerkin methods journal April 2010
A high order characteristic discontinuous Galerkin scheme for advection on unstructured meshes journal November 2016
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works journal January 1973
A “Vertically Lagrangian” Finite-Volume Dynamical Core for Global Models journal October 2004

Similar Records

A high order characteristic discontinuous Galerkin scheme for advection on unstructured meshes
Journal Article · Fri Aug 12 00:00:00 EDT 2016 · Journal of Computational Physics · OSTI ID:1989728
+2 more
A Flux-Form Semi-Lagrangian advection scheme for tracer transport on arbitrary meshes
Journal Article · Wed Feb 01 00:00:00 EST 2023 · Ocean Modelling · OSTI ID:1989728
Simulation of dynamic crystal plasticity with a Lagrangian discontinuous Galerkin hydrodynamic method
Journal Article · Wed Aug 25 00:00:00 EDT 2021 · Computer Methods in Applied Mechanics and Engineering · OSTI ID:1989728
+1 more

Related Subjects

97 MATHEMATICS AND COMPUTING
Discontinuous Galerkin
Semi Lagrangian
Advection equation
Unstructured grid
Arbitrary Lagrangian Eulerian vertical coordinate