Abstract
Particle based methods are required to simulate rarefied, reactive plasma flows. A combined Particle-in-Cell Direct Simulation Monte Carlo method is used here, allowing the modelling of electromagnetic interactions and collision processes. The electromagnetic field solver of the Particle-in-Cell method has been improved by switching to a discontinuous Galerkin spectral element method. The method offers a high parallelization efficiency, which is demonstrated in this paper. In addition, the parallel performances of the complete Particle-in-Cell module and the Direct Simulation Monte Carlo module are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Baganoff, D., McDonald, J.D.: A collision selection rule for a particle simulation method suited to vector computers. Phys. Fluids A 2, 1248–1259 (1990)
Bird, G.: Molecular Gas Dynamics and the Direct Simulation of Gas Flows. Oxford University Press, Oxford (1994)
Birdsall, C.K., Langdon, A.B.: Plasma Physics via Computer Simulation. Hilger, Bristol (1991)
Carpenter, M.H., Kennedy, C.A.: Fourth-order 2N-storage Runge-Kutta schemes. NASA Technical Memorandum 109112, 1–26 (1994)
Gassner, G., Kopriva, D.A.: A comparison of the dispersion and dissipation errors of Gauss and Gauss-Lobatto discontinuous Galerkin spectral element methods. SIAM J. Sci. Comput. 33(5), 2560–2579 (2011). doi:10.1137/100807211
Hindenlang, F., Gassner, G.J., Altmann, C., Beck, A., Staudenmaier, M., Munz, C.D.: Explicit discontinuous Galerkin methods for unsteady problems. Comput. Fluids 61, 69–93 (2012)
Hockney, R.W., Eastwood, J.W.: Computer Simulation Using Particles. McGraw-Hill, Inc., New York (1988)
Jacobs, G.B., Hesthaven, J.: High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. J. Comput. Phys. 214, 96–121 (2006)
Munz, C.D., Schneider, R., Voß, U.: A finite-volume particle-in-cell method for the numerical simulation of devices in pulsed power technology. Surv. Math. Ind. 8, 243–257 (1999)
Pfeiffer, M., Mirza, A., Stindl, T., Ortwein, P., Fasoulas, S., Munz, C.D.: Investigation of a parallel direct simulation monte carlo implementation. In: Poster at 16th HLRS Results and Review Workshop, Stuttgart (2013)
Stindl, T., Neudorfer, J., Stock, A., Auweter-Kurtz, M., Munz, C., Roller, S., Schneider, R.: Comparison of coupling techniques in a high-order discontinuous Galerkin based particle in cell solver. J. Phys. D: Appl. Phys. 44, 194,004 (2011)
Acknowledgements
We gratefully acknowledge the Deutsche Forschungsgemeinschaft (DFG) for funding within the project “Kinetic Algorithms for the Maxwell-Boltzmann System and the Simulation of Magnetospheric Propulsion Systems”. T. Stindl thanks the Landesgraduiertenförderung Baden-Württemberg and the Erich-Becker-Stiftung, Germany, for their previous financial support. Computational resources have been provided by the Bundes-Höchstleistungsrechenzentrum Stuttgart (HLRS).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Ortwein, P. et al. (2015). Parallel Performance of a Discontinuous Galerkin Spectral Element Method Based PIC-DSMC Solver. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘14. Springer, Cham. https://doi.org/10.1007/978-3-319-10810-0_44
Download citation
DOI: https://doi.org/10.1007/978-3-319-10810-0_44
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10809-4
Online ISBN: 978-3-319-10810-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)