| 引用本文: | 范进之,李桦.用于有限体积法的中心WENO混合格式.[J].国防科技大学学报,2014,36(3):6-13.[点击复制] |
| FAN Jinzhi,LI Hua.Central WENO hybrid schemes used in the finite-volume method[J].Journal of National University of Defense Technology,2014,36(3):6-13[点击复制] |
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| 用于有限体积法的中心WENO混合格式 |
| 范进之, 李桦 |
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(国防科技大学 航天科学与工程学院， 湖南 长沙 410073)
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| 摘要: |
| 通过理论推导得到6阶中心格式与5阶WENO格式相结合的混合格式(CWENO6格式)，为了提高有限体积法中高精度格式的计算效率，引入3阶MUSCL反卷积方法以取代传统有限体积法中的反卷积方法。通过不同的算例比较了CWENO6格式与WENO5格式的数值表现。结果表明，相比于传统的WENO5格式，在网格量相同的前提下，由于数值耗散较小，CWENO6格式对流动细节的描述更为准确，为有限体积法模拟三维多尺度复杂提供了一种更为有效的方法。 |
| 关键词: 高精度格式 有限体积法 WENO格式 混合格式 |
| DOI：10.11887/j.cn.201403002 |
| 投稿日期：2013-09-14 |
| 基金项目:中国航天科技集团公司航天科技创新基金资助项目（CALT-16） |
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| Central WENO hybrid schemes used in the finite-volume method |
| FAN Jinzhi, LI Hua |
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(College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| The Central-WENO hybrid schemes (CWENO6 schemes) are developed based on the theory analysis. While the CWENO6 schemes were used in the finite volume method, the 3 order MUSCL deconvolution method was used instead of the origin 5 order WENO deconvolution method to reduce the deconvolution computation cost. According to the numerical test, it is found that the CWENO6 schemes have more powerful ability to represent the details of the flow filed because of its low numerical dissipation comparing to the WENO5 schemes under the same computation mesh. Finally, it is concluded that the CWENO6 schemes are an efficient method for the simulation of multi-dimension complex flow using finite volume method. |
| Keywords: high-order schemes finite volume method WENO hybrid schemes |
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