BER launches Environmental System Science Program. Visit our new website under construction!

U.S. Department of Energy Office of Biological and Environmental Research

BER Research Highlights

A High Order Characteristic Discontinuous Galerkin Scheme for Advection on Unstructured Meshes
Published: August 12, 2016
Posted: January 26, 2018

The Science
This publication details a novel advection scheme for tracer transport in climate model components.

The Impact
The Characteristic Discontinuous Galerkin (CDG) scheme is conservative, unconditionally stable with time step, may be implemented on unstructured grids, extends to high order accuracy and has a computational cost, which scales sub-linearly with the number of tracers being advected. These properties make it an appealing option for geophysical models, which involve the transport of large numbers of tracers and where the tracer transport time step may be decoupled from that on which the dynamics is solved.

The CDG scheme is based on a Lagrangian form of the tracer flux, which is swept back from the edge along velocity characteristics. It differs from other characteristic based flux form schemes in that the fluxes also serve to update the higher order components of the flux, which are solved via a system of linear equations for each cell, as opposed to other schemes where these higher order components are reconstructed from the mean values in neighboring cells.

Contacts (BER PM)
Dorothy Koch
Earth System Modeling Program

(PI Contact)
David Lee
Los Alamos National Laboratory

The U.S. Department of Energy Office of Science, Biological and Environmental Research supported this research as part of the Accelerated Climate Modeling for Energy (ACME) project of the Earth System Modeling (ESM) program.

Lee, D., R. Lowrie, M. Petersen, T. Ringler, and M. Hecht. "A High Order Characteristic Discontinuous Galerkin Scheme for Advection on Unstructured Meshes." Journal of Computational Physics 324,289-302 (2016). [DOI:10.1016/]
(Reference link)

Related Links
BER Highlight: A High Order Characteristic Discontinuous Galerkin Scheme for Advection on Unstructured Meshes

Topic Areas:

  • Research Area: Earth and Environmental Systems Modeling

Division: SC-33.1 Earth and Environmental Sciences Division, BER


BER supports basic research and scientific user facilities to advance DOE missions in energy and environment. More about BER

Recent Highlights

Mar 23, 2021
Molecular Connections from Plants to Fungi to Ants
Lipids transfer energy and serve as an inter-kingdom communication tool in leaf-cutter ants&rsqu [more...]

Mar 19, 2021
Microbes Use Ancient Metabolism to Cycle Phosphorus
Microbial cycling of phosphorus through reduction-oxidation reactions is older and more widespre [more...]

Feb 22, 2021
Warming Soil Means Stronger Microbe Networks
Soil warming leads to more complex, larger, and more connected networks of microbes in those soi [more...]

Jan 27, 2021
Labeling the Thale Cress Metabolites
New data pipeline identifies metabolites following heavy isotope labeling.

Analysis [more...]

Aug 31, 2020
Novel Bacterial Clade Reveals Origin of Form I Rubisco

  • All plant biomass is sourced from the carbon-fixing enzyme Rub [more...]

List all highlights (possible long download time)