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A high performance approach for solving the high voltage direct current ion flow field problem by tensor‐structured finite element method

A high performance approach for solving the high voltage direct current ion flow field problem by... In order to achieve high performance for solving the ion flow field problem, an approach is proposed with the tensor‐structured finite element method (FEM) to accelerate the Newton iteration. The Poisson equation and the continuity equation are reformulated into the tensor expressions, respectively. The element level evaluation phase is decomposed into the concatenated tensor contraction operations, which is implemented by the highly optimised arithmetic operation provided in Matlab. In contrast to the traditional implemented FEM, the tensor‐structured FEM has significantly improved the throughput and achieved high performance. The accuracy and efficiency of the tensor‐based algorithm are verified under the unipolar and bipolar model, respectively. The tensor‐based algorithm provides one order of magnitude speedup over the traditional algorithm in the elemental evaluation phase. ‘Tensorization’ is an efficient way to bridge the algorithm and the hardware. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png High Voltage Wiley

A high performance approach for solving the high voltage direct current ion flow field problem by tensor‐structured finite element method

Cheng, Qiwen; Zou, Jun
High Voltage , Volume 8 (1) – Feb 1, 2023
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References (39)

Publisher
Wiley
Copyright
© 2023 The Authors. High Voltage published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology and China Electric Power Research Institute.
eISSN
2397-7264
DOI
10.1049/hve2.12252
Publisher site
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Abstract

In order to achieve high performance for solving the ion flow field problem, an approach is proposed with the tensor‐structured finite element method (FEM) to accelerate the Newton iteration. The Poisson equation and the continuity equation are reformulated into the tensor expressions, respectively. The element level evaluation phase is decomposed into the concatenated tensor contraction operations, which is implemented by the highly optimised arithmetic operation provided in Matlab. In contrast to the traditional implemented FEM, the tensor‐structured FEM has significantly improved the throughput and achieved high performance. The accuracy and efficiency of the tensor‐based algorithm are verified under the unipolar and bipolar model, respectively. The tensor‐based algorithm provides one order of magnitude speedup over the traditional algorithm in the elemental evaluation phase. ‘Tensorization’ is an efficient way to bridge the algorithm and the hardware.

Journal

High Voltage – Wiley

Published: Feb 1, 2023

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