| 求解Navier-Stokes方程组的组合紧致迎风格式 |
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| 引用本文： | 梁贤,田振夫.求解Navier-Stokes方程组的组合紧致迎风格式[J].计算物理,2008,25(6). |
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| 作者姓名： | 梁贤 田振夫 |
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| 作者单位： | 1. 上海市应用数学和力学研究所,上海大学,上海,200072;宁夏大学数学计算机学院,宁厦,银川,750021
2. 复旦大学数学科学学院,上海,200433;宁夏大学数学计算机学院,宁厦,银川,750021 |
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| 基金项目： | 国家自然科学基金，宁夏高等学校科学技术研究资助项目 |
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| 摘 要： | 给出一种新的至少有四阶精度的组合紧致迎风(CCU)格式,该格式有较高的逼近解率,利用该组合迎风格式,提出一种新的适合于在交错网格系统下求解Navier-Stokes方程组的高精度紧致差分投影算法.用组合紧致迎风格式离散对流项,粘性项、压力梯度项以及压力Poisson方程均采用四阶对称型紧致差分格式逼近,算法的整体精度不低于四阶.通过对Taylor涡列、对流占优扩散问题和双周期双剪切层流动问题的计算表明,该算法适合于对复杂流体流动问题的数值模拟.
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| 关 键 词： | 高精度 组合紧致迎风格式 投影法 数值模拟 |
Combined Compact Upwind Difference Schemes for Navier-Stokes Equations |
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| LIANG Xian,TIAN Zhenfu.Combined Compact Upwind Difference Schemes for Navier-Stokes Equations[J].Chinese Journal of Computational Physics,2008,25(6). |
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| Authors: | LIANG Xian TIAN Zhenfu |
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| Institution: | LIANG Xian~ |
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| Abstract: | A fourth-order combined compact upwind(CCU) finite difference scheme with high resolving efficiency is proposed.A high-order compact difference algorithm for Navier-Stokes(NS) equations based on projection method is developed with CCU scheme on staggered grids.Convection terms are discretized by CCU scheme.Viscous terms,pressure gradient terms and pressure Poisson equations are discretized with fourth-order compact symmetric finite difference schemes.Numerical examples validate capability of the proposed approach.It is shown that the method is accurate and robust,and is applicable to complex fluid flows. |
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| Keywords: | high-order accuracy combined compact upwind scheme projection method directly numerical simulation |
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