Numerical scheme for three-dimensional supersonic magnetohydrodynamical flows and implementation in a massively parallel multiprocessor environment

Wenlong Dai; Paul R. Woodward

doi:10.1016/S0965-9978(98)00041-6

Numerical scheme for three-dimensional supersonic magnetohydrodynamical flows and implementation in a massively parallel multiprocessor environment

Wenlong Dai, Paul R. Woodward

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

Abstract

We have proposed an approach to exactly maintain the eight conservation laws and the divergence-free condition in numerical simulations for supersonic magnetohydrodynamical flows. In this paper, we extend our algorithm from the two-dimensional to the three-dimensional situation. The algorithm is second order accurate in space and time, and no Poisson solver is involved to maintain the divergence-free condition. The algorithm has been implemented in a massively parallel multiprocessor environment.

Original language	English (US)
Pages (from-to)	353-358
Number of pages	6
Journal	Advances in Engineering Software
Volume	29
Issue number	3-6
DOIs	https://doi.org/10.1016/S0965-9978(98)00041-6
State	Published - 1998

Bibliographical note

Funding Information:
The work presented here was supported by the Department of Energy through grants DE-FG02-87ER25035 and DE-FG02-94ER25207, by the National Science Foundation through grant ASC-9309829, by NASA through grant USRA/555-23/NASA, and by the University of Minnesota through its Minnesota Supercomputer Institute.

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abstract = "We have proposed an approach to exactly maintain the eight conservation laws and the divergence-free condition in numerical simulations for supersonic magnetohydrodynamical flows. In this paper, we extend our algorithm from the two-dimensional to the three-dimensional situation. The algorithm is second order accurate in space and time, and no Poisson solver is involved to maintain the divergence-free condition. The algorithm has been implemented in a massively parallel multiprocessor environment.",

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note = "Funding Information: The work presented here was supported by the Department of Energy through grants DE-FG02-87ER25035 and DE-FG02-94ER25207, by the National Science Foundation through grant ASC-9309829, by NASA through grant USRA/555-23/NASA, and by the University of Minnesota through its Minnesota Supercomputer Institute. ",

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AU - Woodward, Paul R.

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Numerical scheme for three-dimensional supersonic magnetohydrodynamical flows and implementation in a massively parallel multiprocessor environment

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