| HIGH－ORDER I－STABLE CENTERED DIFFERENCE SCHEMES FOR VISCOUS COMPRESSIBLE FLOWS |
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| 引用本文： | WeizhuBao ShiJin. HIGH－ORDER I－STABLE CENTERED DIFFERENCE SCHEMES FOR VISCOUS COMPRESSIBLE FLOWS[J]. 计算数学(英文版), 2003, 21(1): 101-112 |
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| 作者姓名： | WeizhuBao ShiJin |
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| 作者单位： | [1]DepartmentofComputationalScienceComputationalScience,NationalUniversityofSingapore,Singapore117543 [2]DepartmentofMathematicalScience,TsinghuaUniversity,Beijing10084,ChinaandDepartmento |
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| 基金项目： | Research supported by the National University of Singapore grant No. R-151-000-016-112. Email address: bao@cz3.nus.edu.sg. |
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| 摘 要： | In this paper we present high-order I-stable centered difference schemes for the numerical simulation of viscous compressible flows.Here I-stability refers to time discretizations whose linear stability regions contain part of the imaginary axis,This class of schemes has a numerical stability independent of the cell-Reynolds number Rc,thus allows one to simulate high Reynolds number flows with relatively larger Rc,or coarser grids for a fixed Rc.On the other hand,Rc cannot be arbirarily large if one tries to obtain adequate numerical resolution of the viscous behavior,We investigate the behavior of hight-order I-stable schemes for Burgers‘ equation and the compressible Navier-Stokes equations.We demonstrate that,for the second order scheme,Rc≤3 is an appropriate constraint for numerical resolution of the viscous profile,while for the fourth-order schems the constraint can be relaxed to Rc≤6.Our study indicates that the fourth order order scheme is preferable:better accuracy,higher resolution,and larger cell-Reynolds numbers.
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| 关 键 词： | 中心差分格式稳定性 粘性可压缩流Bwrgers方程 Cell-Reyholds数 Navier-Stokes方程 约束 守恒定律 离散化 |
HIGH-ORDER I-STABLE CENTERED DIFFERENCE SCHEMES FOR VISCOUS COMPRESSIBLE FLOWS |
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| Weizhu. HIGH-ORDER I-STABLE CENTERED DIFFERENCE SCHEMES FOR VISCOUS COMPRESSIBLE FLOWS[J]. Journal of Computational Mathematics, 2003, 21(1): 101-112 |
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| Authors: | Weizhu |
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| Abstract: | |
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| Keywords: | I-stable Viscous compressible flow Burgers' equation Cell-Reynolds number constraint. |
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