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.

Summary
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
Dorothy.Koch@science.doe.gov

(PI Contact)
David Lee
Los Alamos National Laboratory

Funding
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.

Publication
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/j.jcp.2016.08.010]
(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-23.1 Climate 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

May 10, 2019
Quantifying Decision Uncertainty in Water Management via a Coupled Agent-Based Model
Considering risk perception can improve the representation of human decision-making processes in age [more...]

May 09, 2019
Projecting Global Urban Area Growth Through 2100 Based on Historical Time Series Data and Future Scenarios
Study provides country-specific urban area growth models and the first dataset on country-level urba [more...]

May 05, 2019
Calibrating Building Energy Demand Models to Refine Long-Term Energy Planning
A new, flexible calibration approach improved model accuracy in capturing year-to-year changes in bu [more...]

May 03, 2019
Calibration and Uncertainty Analysis of Demeter for Better Downscaling of Global Land Use and Land Cover Projections
Researchers improved the Demeter model’s performance by calibrating key parameters and establi [more...]

Apr 22, 2019
Representation of U.S. Warm Temperature Extremes in Global Climate Model Ensembles
Representation of warm temperature events varies considerably among global climate models, which has [more...]

List all highlights (possible long download time)