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High-order targeted essentially non-oscillatory scheme for two-fluid plasma model

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Abstract

The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model, which cannot describe certain nonequilibrium phenomena by finite collisions of particles, decreasing the fidelity of the solution. Based on an alternative formulation of the targeted essentially non-oscillatory (TENO) scheme, a novel high-order numerical scheme is proposed to simulate the two-fluid plasmas problems. The numerical flux is constructed by the TENO interpolation of the solution and its derivatives, instead of being reconstructed from the physical flux. The present scheme is used to solve the two sets of Euler equations coupled with Maxwell’s equations. The numerical methods are verified by several classical plasma problems. The results show that compared with the original TENO scheme, the present scheme can suppress the non-physical oscillations and reduce the numerical dissipation.

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Authors and Affiliations

  1. School of Aeronautics, Northwestern Polytechnical University, **’an, 710072, China

    Yuhang Hou & Yongliang Feng

  2. Institute of Extreme Mechanics, Northwestern Polytechnical University, **–an, 710072, China

    Yuhang Hou & Yongliang Feng

  3. Shaanxi Key Laboratory of Space Extreme Detection, **–an, 710071, China

    Ke ** & **ao**g Zheng

  4. Research Center for Applied Mechanics, **dian University, **–an, 710071, China

    Ke ** & **ao**g Zheng

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  1. Yuhang Hou
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  4. **ao**g Zheng
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Correspondence to **ao**g Zheng.

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Conflict of interest **ao**g ZHENG is an editorial board member for Applied Mathematics and Mechanics (English Edition) and was not involved in the editorial review or the decision to publish this article. The authors declare no conflict of interest.

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Project supported by the National Natural Science Foundation of China (Nos. 12072246, 11972272, and 11872286) and the National Numerical Wind Tunnel Project of China (No. NNW2020ZT3-A23)

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Hou, Y., **, K., Feng, Y. et al. High-order targeted essentially non-oscillatory scheme for two-fluid plasma model. Appl. Math. Mech.-Engl. Ed. 44, 941–960 (2023). https://doi.org/10.1007/s10483-023-3003-6

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  • DOI: https://doi.org/10.1007/s10483-023-3003-6

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