The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式)
为提高一维双曲守恒律方程数值求解格式的分辨率和精度，提出了一种基于加权本质非振荡（weighted essentially non-oscillatory，WENO）重构保号的四阶熵稳定格式。该格式主要包含高阶熵守恒通量和数值耗散项，通过在单元交界面处用拉格朗日多项式对熵变量进行有限差分WENO重构，证明了重构前后跳跃值满足保号性，论证了所构造格式的熵稳定性。在数值算例中，将空间半离散格式与四阶Runge-Kutta格式相结合，并将该格式与熵稳定格式进行了比较，结果表明，该格式具有四阶精度、较高的分辨率和鲁棒性，且不产生非物理振荡。...
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2022-05-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2022.03.010 |
| _version_ | 1797235669841477632 |
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| author | ZHENGSupei(郑素佩) ZHAOQingyu(赵青宇) FENGJianhu(封建湖) |
| author_facet | ZHENGSupei(郑素佩) ZHAOQingyu(赵青宇) FENGJianhu(封建湖) |
| author_sort | ZHENGSupei(郑素佩) |
| collection | DOAJ |
| description | 为提高一维双曲守恒律方程数值求解格式的分辨率和精度，提出了一种基于加权本质非振荡（weighted essentially non-oscillatory，WENO）重构保号的四阶熵稳定格式。该格式主要包含高阶熵守恒通量和数值耗散项，通过在单元交界面处用拉格朗日多项式对熵变量进行有限差分WENO重构，证明了重构前后跳跃值满足保号性，论证了所构造格式的熵稳定性。在数值算例中，将空间半离散格式与四阶Runge-Kutta格式相结合，并将该格式与熵稳定格式进行了比较，结果表明，该格式具有四阶精度、较高的分辨率和鲁棒性，且不产生非物理振荡。 |
| first_indexed | 2024-04-24T16:51:38Z |
| format | Article |
| id | doaj.art-4602d37789cb4469bd8a3ebfb0590800 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:51:38Z |
| publishDate | 2022-05-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-4602d37789cb4469bd8a3ebfb05908002024-03-29T01:58:40ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972022-05-0149332933510.3785/j.issn.1008-9497.2022.03.010The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式)ZHENGSupei(郑素佩)0https://orcid.org/0000-0003-2502-6998ZHAOQingyu(赵青宇)https://orcid.org/0000-0001-7574-6917FENGJianhu(封建湖)1School of Science, Chang'an University, Xi'an 710064, China(长安大学 理学院，陕西 西安 710064)School of Science, Chang'an University, Xi'an 710064, China(长安大学 理学院，陕西 西安 710064)为提高一维双曲守恒律方程数值求解格式的分辨率和精度，提出了一种基于加权本质非振荡（weighted essentially non-oscillatory，WENO）重构保号的四阶熵稳定格式。该格式主要包含高阶熵守恒通量和数值耗散项，通过在单元交界面处用拉格朗日多项式对熵变量进行有限差分WENO重构，证明了重构前后跳跃值满足保号性，论证了所构造格式的熵稳定性。在数值算例中，将空间半离散格式与四阶Runge-Kutta格式相结合，并将该格式与熵稳定格式进行了比较，结果表明，该格式具有四阶精度、较高的分辨率和鲁棒性，且不产生非物理振荡。https://doi.org/10.3785/j.issn.1008-9497.2022.03.010双曲守恒律方程weno重构保号性四阶熵稳定 |
| spellingShingle | ZHENGSupei(郑素佩) ZHAOQingyu(赵青宇) FENGJianhu(封建湖) The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式) Zhejiang Daxue xuebao. Lixue ban 双曲守恒律方程 weno重构 保号性 四阶 熵稳定 |
| title | The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式) |
| title_full | The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式) |
| title_fullStr | The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式) |
| title_full_unstemmed | The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式) |
| title_short | The fourth order entropy stable scheme based on sign-preserving WENO reconstruction(基于WENO重构保号的四阶熵稳定格式) |
| title_sort | fourth order entropy stable scheme based on sign preserving weno reconstruction 基于weno重构保号的四阶熵稳定格式 |
| topic | 双曲守恒律方程 weno重构 保号性 四阶 熵稳定 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2022.03.010 |
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