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论文:2012,Vol:30,Issue(6):836-840 |
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引用本文： |
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廖飞, 叶正寅. 曲线网格下精确四阶精度有限体积紧致方法[J]. 西北工业大学 |
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Liao Fei, Ye Zhengyin. A Fourth-Order-Accurate and Compact Finite Volume Method (FVM) on Curvilinear Grids[J]. Northwestern polytechnical university |
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| 曲线网格下精确四阶精度有限体积紧致方法 |
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| 廖飞, 叶正寅 |
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| 西北工业大学 翼型叶栅空气动力学国防科技重点实验室, 陕西 西安 710072 |
| 摘要: |
| 研究了一种求解可压缩欧拉方程的精确四阶精度有限体积紧致方法。通过引入坐标变换,构造了精确四阶精度的体平均量近似和面平均量近似方法,以解决有限体积方法中的积分近似问题,并在曲线网格上辅助四阶精度Padé型紧致格式对欧拉方程进行空间离散。构造了积分型高精度紧致滤波方法代替人工粘性耗散,使计算过程收敛。通过计算欧拉圆柱绕流和Ringleb流动,验证了方法的正确性和有效性。 |
| 关键词:
计算流体力学
欧拉方程
有限体积法
积分近似
紧致格式
曲线网格
坐标变换
精确四阶精度
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| A Fourth-Order-Accurate and Compact Finite Volume Method (FVM) on Curvilinear Grids |
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| Liao Fei, Ye Zhengyin |
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| National Key Laboratory of Aerodynamic Design and Research,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| To our knowledge,it is difficult to apply the accurate and compact FVM to curvilinear grids because ofthe difficulty in calculating integral approximation accurately on curvilinear grids. With the coordinate transform,we derive the equations for calculating fourth-order-accurate cell-averaged variables and interface-averaged variablesso as to solve the integral approximation problem in the FVM and the curvilinear grid application problems. We usethe fourth-order Padé compact scheme to carry out the spatial discretization of the Euler equations. We derive an in-tegral-type high-order compact filtering equation to replace the artificial dissipation in order to converge the calcula-tion in the time marching process. Finally,we give two numerical simulation examples to verify the correctness andeffectiveness of our method. The simulation results,given in Figs. 2 through 6 and Table 1,show preliminarilythat: (1) the calculation of the flow over a cylinder and the Ringleb flow with our method can reach the fourth-or-der accuracy; (2) our method can accomplish high-order integral approximation and solve the curvilinear grid ap-plication problems. |
| Key words:
computational fluid dynamics
Euler equations
finite volume method
integral approximation
com-pact scheme
curvilinear grids
coordinate transform
fourth-order accuracy
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| 收稿日期: 2011-12-15
修回日期:
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| DOI: |
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Email： |
| 作者简介: 廖飞(1989-)，西北工业大学博士研究生，主要从事计算流体力学研究。
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| 作者相关文章 |
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| 廖飞 在本刊中的所有文章 |
| 叶正寅 在本刊中的所有文章 |
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参考文献: |
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