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论文:2019,Vol:37,Issue(5):968-976 |
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引用本文： |
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邱滋华, 徐敏, ZHANG Bin, LIANG Chunlei. 三维谱差分格式非结构混合网格求解方法[J]. 西北工业大学学报 |
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QIU Zihua, XU Min, ZHANG Bin, LIANG Chunlei. High-Order Spectral Difference Method on 3D Unstructured Grids via Mixed Elements[J]. Northwestern polytechnical university |
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| 三维谱差分格式非结构混合网格求解方法 |
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| 邱滋华1, 徐敏1, ZHANG Bin2, LIANG Chunlei2 |
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1. 西北工业大学 航天学院, 陕西 西安 710072;
2. 乔治华盛顿大学 机械与航空工程系, 美国 华盛顿特区 20052 |
| 摘要: |
| 高精度方法在多种网格单元上的推进是一个难点。提出了一种基于高精度谱差分格式（SD）的三维混合网格求解方法，用于求解三棱柱/四面体混合网格。通过一阶h-加密方法对混合网格进行加密，生成一套六面体网格，并保证网格在边界处的高阶精度。将设计于六面体单元上的SD格式应用于加密后的非结构网格。通过计算Euler Vortex流动以及Taylor-Couette流动，验证了求解器对于无黏和有黏流动的高精度特性；通过定常球体绕流数值模拟以及非定常三维圆柱绕流数值模拟，与现有文献结果进行对比，验证了方法的有效性。 |
| 关键词:
计算流体力学
谱差分方法
曲面边界条件
非结构网格
混合网格
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| High-Order Spectral Difference Method on 3D Unstructured Grids via Mixed Elements |
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| QIU Zihua1, XU Min1, ZHANG Bin2, LIANG Chunlei2 |
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1. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. Department of Mechanical and Aerospace Engineering, George Washington University, Washington, DC 20052, USA |
| Abstract: |
| The high-order methods is difficultly applied in various elements. The development of a 3D solver by using the spectral difference method of unstructured grids via mixed elements is presented. A mixed tri-prism and tetrahedral grid is firstly refined using one-level h-refinement to generate a hexahedral grid while keeping the curvature of wall boundaries. The SD method designed for hexahedral elements can subsequently be applied for refining the unstructured grid. Through a series of numerical tests, the present method is high-order accurate for both inviscid and viscous flows is demonstrated; the results obtained for inviscid and viscous compressible flows compare well with other published results. |
| Key words:
computational fluid dynamics
spectral difference method
curved wall boundary
unstructured grid
mixed elements
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| 收稿日期: 2018-09-20
修回日期:
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| DOI: 10.1051/jnwpu/20193750968 |
| 基金项目: 国家自然科学基金（11802179）资助 |
| 通讯作者:
Email： |
| 作者简介: 邱滋华(1991-),西北工业大学博士研究生,主要从事计算流体力学高精度格式研究。
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