Efficient spectral and pseudospectral algorithms for 3D simulations of whistler-mode waves in a plasma

Journal Article · Fri Apr 01 00:00:00 EDT 2011 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2010.12.038· OSTI ID:21499788

Gumerov, Nail A., E-mail: [e-mail] ^[1]; Karavaev, Alexey V., E-mail: [e-mail] ^[2]; Surjalal Sharma, A., E-mail: [e-mail] ^[2]; Shao Xi, E-mail: [e-mail] ^[2]; Papadopoulos, Konstantinos D., E-mail: [e-mail] ^[2]

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1. Institute for Advanced Computer Studies, University of Maryland, College Park, MD 20742 (United States)
2. Department of Astronomy, University of Maryland, College Park, MD 20742 (United States)

Efficient spectral and pseudospectral algorithms for simulation of linear and nonlinear 3D whistler waves in a cold electron plasma are developed. These algorithms are applied to the simulation of whistler waves generated by loop antennas and spheromak-like stationary waves of considerable amplitude. The algorithms are linearly stable and show good stability properties for computations of nonlinear waves over tens of thousands of time steps. Additional speedups by factors of 10-20 (comparing single core CPU and one GPU) are achieved by using graphics processors (GPUs), which enable efficient numerical simulation of the wave propagation on relatively high resolution meshes (tens of millions nodes) in personal computing environment. Comparisons of the numerical results with analytical solutions and experiments show good agreement. The limitations of the codes and the performance of the GPU computing are discussed.

• OSTI ID: 21499788
• Journal Information: Journal of Computational Physics, Vol. 230, Issue 7; Other Information: DOI: 10.1016/j.jcp.2010.12.038; PII: S0021-9991(10)00712-6; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
ANALYTICAL SOLUTION
ANTENNAS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
NONLINEAR PROBLEMS
PLASMA
WAVE PROPAGATION
WHISTLER INSTABILITY
ELECTRICAL EQUIPMENT
EQUIPMENT
EVALUATION
INSTABILITY
MATHEMATICAL LOGIC
MATHEMATICAL SOLUTIONS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SIMULATION