| TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS |
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| 引用本文： | 任春风,马逸尘. TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS[J]. 应用数学和力学(英文版), 2002, 23(7): 773-782. DOI: 10.1007/BF02456973 |
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| 作者姓名： | 任春风 马逸尘 |
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| 作者单位： | REN Chun-feng，MA Yi-chen (College of Science，Xi'an Jiaotong University，Xi'an 710049，P R China) (Communicated by DAI Shi-qiang) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 0 0 1 0 2 8) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＷｅｃｏｎｓｉｄｅｒｔｗｏ＿ｇｒｉｄｍｅｔｈｏｄｆｏｒｔｈｅｓｔｒｅａｍｆｕｎｃｔｉｏｎｆｏｒｍｏｆｔｈｅｓｔａｔｉｏｎａｒｙＮａｖｉｅｒ＿Ｓｔｏｋｅｓｅｑｕａｔｉｏｎｓ.Ｔｈｅａｄｖａｎｔａｇｅｓｏｆｔｈｅｓｔｒｅａｍｆｕｎｃｔｉｏｎｆｏｒｍａｒｅｔｈａｔｔｈｅｉｎｃｏｍｐｒｅｓｓｉｂｉｌｉｔｙｃｏｎｄｉｔｉｏｎｉｓｓａｔｉｓｆｉｅｄａｕｔｏｍａｔｉｃａｌｌｙａｎｄｔｈｅｐｒｅｓｓｕｒｅｉｓｎｏｔｐｒｅｓｅｎｔｉｎｔｈｅｗｅａｋｆｏｒｍ .Ｔｈｅｍｅｔｈｏｄｉｓｂａｓｅｄ…
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| 收稿时间： | 2001-01-15 |
Two-grid error estimates for the stream function form of Navier-Stokes equations |
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| Ren Chun-feng Doctor,Ma Yi-chen. Two-grid error estimates for the stream function form of Navier-Stokes equations[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(7): 773-782. DOI: 10.1007/BF02456973 |
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| Authors: | Ren Chun-feng Doctor Ma Yi-chen |
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| Affiliation: | College of Science, Xi'an Jiaotong University, Xl'an 710049, P R China |
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| Abstract: | The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem on the fine mesh system, and a linear correct problem on the coarse mesh. The algorithms with the correct problem and without the correct problem were discussed. The algorithms produce an approximate solution with the optimal, asymptotic accuracy for any fixed Reynolds number. |
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| Keywords: | Navier-Stokes equation two-grid method stream function |
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