Abstract
Set of Matlab scripts to investigate properties of IMEX time stepping methods. Scripts include discretization of a system of linearized equations. One script plots numerical dispersion against analytical dispersion of the system. Another set of scripts uses the system to break it into stiff and non stiff part to investigate stability of Implicit-Explicit Runge-Kutta methods.
Scripts are based on
Thuburn, J. and Woollings, T. J., Vertical Discretizations for Compressible Euler Equation Atmospheric Models Giving Optimal Representation of Normal Modes , 2005 and
Lock, S.-J. and Wood, N. and Weller, H., Numerical analyses of Runge-Kutta implicit-explicit schemes for horizontally explicit, vertically implicit solutions of atmospheric models, 2014
expanding ideas from these two papers.
Scripts are used to develop IMEX schemes. SAND2020-12594 M
Sandia National Laboratories is a multimission laboratory managed and operated by National Technology & Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA0003525.
- Developers:
-
Guba, Oksana [1] ; Steyer, Andrew [1]
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Release Date:
- 2020-04-06
- Project Type:
- Open Source, Publicly Available Repository
- Software Type:
- Scientific
- Programming Languages:
-
MATLAB
- Version:
- 1.01
- Licenses:
-
BSD 3-clause "New" or "Revised" License
- Sponsoring Org.:
-
USDOEPrimary Award/Contract Number:NA0003525
- Code ID:
- 47024
- Site Accession Number:
- SCR#2488
- Research Org.:
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- Country of Origin:
- United States
Citation Formats
Guba, Oksana, and Steyer, Andrew.
sta-imex (scripts to investigate stability of IMEX methods).
Computer Software.
https://github.com/E3SM-Project/sta-imex.
USDOE.
06 Apr. 2020.
Web.
doi:10.11578/dc.20201113.2.
Guba, Oksana, & Steyer, Andrew.
(2020, April 06).
sta-imex (scripts to investigate stability of IMEX methods).
[Computer software].
https://github.com/E3SM-Project/sta-imex.
https://doi.org/10.11578/dc.20201113.2.
Guba, Oksana, and Steyer, Andrew.
"sta-imex (scripts to investigate stability of IMEX methods)." Computer software.
April 06, 2020.
https://github.com/E3SM-Project/sta-imex.
https://doi.org/10.11578/dc.20201113.2.
@misc{
doecode_47024,
title = {sta-imex (scripts to investigate stability of IMEX methods)},
author = {Guba, Oksana and Steyer, Andrew},
abstractNote = {Set of Matlab scripts to investigate properties of IMEX time stepping methods. Scripts include discretization of a system of linearized equations. One script plots numerical dispersion against analytical dispersion of the system. Another set of scripts uses the system to break it into stiff and non stiff part to investigate stability of Implicit-Explicit Runge-Kutta methods.
Scripts are based on
Thuburn, J. and Woollings, T. J., Vertical Discretizations for Compressible Euler Equation Atmospheric Models Giving Optimal Representation of Normal Modes , 2005 and
Lock, S.-J. and Wood, N. and Weller, H., Numerical analyses of Runge-Kutta implicit-explicit schemes for horizontally explicit, vertically implicit solutions of atmospheric models, 2014
expanding ideas from these two papers.
Scripts are used to develop IMEX schemes. SAND2020-12594 M
Sandia National Laboratories is a multimission laboratory managed and operated by National Technology & Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA0003525.},
doi = {10.11578/dc.20201113.2},
url = {https://doi.org/10.11578/dc.20201113.2},
howpublished = {[Computer Software] \url{https://doi.org/10.11578/dc.20201113.2}},
year = {2020},
month = {apr}
}