# Compression of magnetohydrodynamic simulation data using singular value decomposition

## Abstract

Numerical calculations of magnetic and flow fields in magnetohydrodynamic (MHD) simulations can result in extensive data sets. Particle-based calculations in these MHD fields, needed to provide closure relations for the MHD equations, will require communication of this data to multiple processors and rapid interpolation at numerous particle orbit positions. To facilitate this analysis it is advantageous to compress the data using singular value decomposition (SVD, or principal orthogonal decomposition, POD) methods. As an example of the compression technique, SVD is applied to magnetic field data arising from a dynamic nonlinear MHD code. The performance of the SVD compression algorithm is analyzed by calculating Poincare plots for electron orbits in a three-dimensional magnetic field and comparing the results with uncompressed data.

- Authors:

- Oak Ridge National Laboratory, Oak Ridge, TN 37831 (United States)
- Oak Ridge National Laboratory, Oak Ridge, TN 37831 (United States). E-mail: hirshmansp@ornl.gov

- Publication Date:

- OSTI Identifier:
- 20991563

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Computational Physics; Journal Volume: 222; Journal Issue: 1; Other Information: DOI: 10.1016/j.jcp.2006.07.022; PII: S0021-9991(06)00355-X; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; APPROXIMATIONS; COMPUTERIZED SIMULATION; DATA TRANSMISSION; EQUATIONS; INTERPOLATION; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; ORBITS; PERFORMANCE; THREE-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Castillo Negrete, D. del, Hirshman, S.P., Spong, D.A., and D'Azevedo, E.F..
```*Compression of magnetohydrodynamic simulation data using singular value decomposition*. United States: N. p., 2007.
Web. doi:10.1016/j.jcp.2006.07.022.

```
Castillo Negrete, D. del, Hirshman, S.P., Spong, D.A., & D'Azevedo, E.F..
```*Compression of magnetohydrodynamic simulation data using singular value decomposition*. United States. doi:10.1016/j.jcp.2006.07.022.

```
Castillo Negrete, D. del, Hirshman, S.P., Spong, D.A., and D'Azevedo, E.F.. Thu .
"Compression of magnetohydrodynamic simulation data using singular value decomposition". United States.
doi:10.1016/j.jcp.2006.07.022.
```

```
@article{osti_20991563,
```

title = {Compression of magnetohydrodynamic simulation data using singular value decomposition},

author = {Castillo Negrete, D. del and Hirshman, S.P. and Spong, D.A. and D'Azevedo, E.F.},

abstractNote = {Numerical calculations of magnetic and flow fields in magnetohydrodynamic (MHD) simulations can result in extensive data sets. Particle-based calculations in these MHD fields, needed to provide closure relations for the MHD equations, will require communication of this data to multiple processors and rapid interpolation at numerous particle orbit positions. To facilitate this analysis it is advantageous to compress the data using singular value decomposition (SVD, or principal orthogonal decomposition, POD) methods. As an example of the compression technique, SVD is applied to magnetic field data arising from a dynamic nonlinear MHD code. The performance of the SVD compression algorithm is analyzed by calculating Poincare plots for electron orbits in a three-dimensional magnetic field and comparing the results with uncompressed data.},

doi = {10.1016/j.jcp.2006.07.022},

journal = {Journal of Computational Physics},

number = 1,

volume = 222,

place = {United States},

year = {Thu Mar 01 00:00:00 EST 2007},

month = {Thu Mar 01 00:00:00 EST 2007}

}