research-article

An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows

Author:

Lin FuAuthors Info & Claims

Journal of Scientific Computing, Volume 90, Issue 1

https://doi.org/10.1007/s10915-021-01722-6

Published: 01 January 2022 Publication History

Abstract

In this paper, an efficient low-dissipation high-order TENO scheme is proposed for ideal MHD flows. For high computational efficiency, a troubled-cell indicator based on the ENO-like stencil selection strategy in TENO schemes is introduced to isolate the discontinuities from smooth regions. While the high-order linear scheme is adopted for the smooth regions, a low-dissipation TENO scheme is applied for capturing discontinuities detected by the troubled-cell indicator. The case-independent parameters are given based on spectral analysis. Both the governing equations of the ideal MHD and the Hamilton–Jacobi type constrained transport equation for divergence-free condition can be solved by the newly proposed scheme. Since most computational regions are resolved by the linear scheme without expensive characteristic decomposition, flux splitting and nonlinear weight calculation, the proposed scheme is highly efficient. A set of benchmark cases has been simulated to demonstrate the performance of the proposed scheme. Numerical results reveal that remarkable speedup is achieved by the present scheme while the oscillation-free property and the high-order accuracy are preserved.

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Cited By

Ji ZLiang TFu L(2023)High-Order Finite-Volume TENO Schemes with Dual ENO-Like Stencil Selection for Unstructured MeshesJournal of Scientific Computing10.1007/s10915-023-02199-195:3Online publication date: 21-Apr-2023
https://dl.acm.org/doi/10.1007/s10915-023-02199-1
Ji ZLiang TFu L(2022)A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured MeshesJournal of Scientific Computing10.1007/s10915-022-01925-592:2Online publication date: 7-Jul-2022
https://dl.acm.org/doi/10.1007/s10915-022-01925-5

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Information

Published In

cover image Journal of Scientific Computing

Journal of Scientific Computing Volume 90, Issue 1

Jan 2022

1910 pages

ISSN:0885-7474

Issue’s Table of Contents

© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021.

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Plenum Press

United States

Publication History

Published: 01 January 2022

Accepted: 16 November 2021

Revision received: 23 October 2021

Received: 28 July 2021

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The Hong Kong University of Science and Technology
Shenzhen Municipal Central Government Guides Local Science and Technology Development Special Funds Funded Projects

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Cited By

Ji ZLiang TFu L(2023)High-Order Finite-Volume TENO Schemes with Dual ENO-Like Stencil Selection for Unstructured MeshesJournal of Scientific Computing10.1007/s10915-023-02199-195:3Online publication date: 21-Apr-2023
https://dl.acm.org/doi/10.1007/s10915-023-02199-1
Ji ZLiang TFu L(2022)A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured MeshesJournal of Scientific Computing10.1007/s10915-022-01925-592:2Online publication date: 7-Jul-2022
https://dl.acm.org/doi/10.1007/s10915-022-01925-5

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