A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing
文献类型：期刊论文
| 作者 | Huang, Haohan5; Li, Xinliang4 ; Fu, Lin1,2,3,5; Li XL(李新亮)
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
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| 出版日期 | 2025 |
| 卷号 | 520页码:20 |
| 关键词 | PDEs Runge-Kutta discontinuous Galerkin methods TENO WENO Hyperbolic conservation laws |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2024.113459 |
| 通讯作者 | Fu, Lin(linfu@ust.hk) |
| 英文摘要 | In recent years, Runge-Kutta Discontinuous Galerkin (RKDG) methods have gained substantial attention in solving hyperbolic conservation laws, attributed to their high-order accuracy and adaptability to unstructured meshes. However, standard RKDG methods cannot capture discontinuities without oscillation unless they are supplemented with troubled cell indicators and limiters. Existing indicators, such as the total variation bounded (TVB) minmod indicator and the KXRCF indicator, typically depend on a critical parameter tied to the equation's solution, necessitating tuning for different cases. In terms of limiters, the popular limiters even fail to guarantee the high-order property in the smooth regions. The advent of Weighted Essentially Non-Oscillatory (WENO) schemes prompts the implementation of WENO limiters for RKDG methods, preserving high-order properties. However, WENO-family schemes exhibit significant numerical dissipation, potentially smearing small-scale flow structures. In this work, the Targeted Essentially Non-Oscillatory (TENO) indicator [1] is utilized, which leverages the nonlinear weighting strategy of the TENO scheme to separate high-wavenumber physical fluctuations and genuine discontinuities from smooth regions with a unified set of parameters. For troubled cells, a novel limiter is proposed for structured meshes, which combines a TENO scheme for resolving high-wavenumber physical fluctuations and a novel non-polynomial Tangent of Hyperbola for the INterface Capturing (THINC) scheme for resolving genuine discontinuities with extremely low numerical dissipation. Furthermore, the shifting between the TENO and THINC schemes is based on a new boundary variation diminishing (BVD) strategy, which only relies on compact neighborhoods and is significantly simpler than its predecessors. Meanwhile, a new strategy is proposed to ensure the consistency of the new limiter applied for 1D and 2D cases. A set of 1D and 2D benchmark cases including strong shockwaves and a broad range of flow length scales is simulated with uniform meshes for 1D cases and structured quadrilateral meshes for 2D cases to demonstrate the performance of the new numerical scheme. The indicator does not activate any limiters in the accuracy test cases to ensure the high-order property of the whole numerical |
| WOS关键词 | DISCONTINUOUS GALERKIN METHOD ; FINITE-ELEMENT-METHOD ; TARGETED ENO SCHEMES ; HERMITE WENO SCHEMES ; CONSERVATION-LAWS ; VOLUME METHOD ; EFFICIENT IMPLEMENTATION ; LIMITERS ; FLOW ; SIMULATIONS |
| 资助项目 | National Key R&D Program of China[2022YFA1004500] ; State Key Laboratory of High-Temperature Gas Dynamics[2023KF25] ; National Natural Science Foundation of China[12422210] ; Research Grants Council (RGC) of the Government of Hong Kong Special Administrative Region (HKSAR) ; RGC/ECS Project[26200222] ; RGC/GRF Project[16201023] ; RGC/STG Project[STG2/E-605/23-N] ; Project of Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone[HZQB-KCZYB-2020083] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001331109500001 |
| 资助机构 | National Key R&D Program of China ; State Key Laboratory of High-Temperature Gas Dynamics ; National Natural Science Foundation of China ; Research Grants Council (RGC) of the Government of Hong Kong Special Administrative Region (HKSAR) ; RGC/ECS Project ; RGC/GRF Project ; RGC/STG Project ; Project of Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/96975]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 通讯作者 | Fu, Lin |
| 作者单位 | 1.Hong Kong Univ Sci & Technol, Shenzhen Res Inst, Shenzhen, Peoples R China 2.HKUST Shenzhen Hong Kong Collaborat Innovat Res In, Shenzhen, Peoples R China 3.Hong Kong Univ Sci & Technol, Dept Mech & Aerosp Engn, Kowloon, Clear Water Bay, Hong Kong, Peoples R China 4.Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China 5.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Haohan,Li, Xinliang,Fu, Lin,et al. A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2025,520:20. |
| APA | Huang, Haohan,Li, Xinliang,Fu, Lin,&李新亮.(2025).A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing.JOURNAL OF COMPUTATIONAL PHYSICS,520,20. |
| MLA | Huang, Haohan,et al."A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing".JOURNAL OF COMPUTATIONAL PHYSICS 520(2025):20. |
入库方式： OAI收割
来源：力学研究所
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