MLPG method for convection-dominated flow problems
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作者:
Wu, Xue-Hong
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Zhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R ChinaZhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China
Wu, Xue-Hong
[1
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Chang, Zhi-Juan
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机构:
Zhengzhou Univ Light Ind, Sch Food & Biol Engn, Zhengzhou 450002, Henan, Peoples R ChinaZhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China
Chang, Zhi-Juan
[3
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Tao, Wen-Quan
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机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R ChinaZhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China
Tao, Wen-Quan
[2
]
Li, Zeng-Yao
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机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R ChinaZhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China
Li, Zeng-Yao
[2
]
Shen, Sheng-Ping
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Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R ChinaZhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China
Shen, Sheng-Ping
[2
]
机构:
[1] Zhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R China
[3] Zhengzhou Univ Light Ind, Sch Food & Biol Engn, Zhengzhou 450002, Henan, Peoples R China
In this paper, the Meshless Local Petrov-Galerkin (MLPG) method is applied to compute convection-dominated flow problems. The results of the MLPG method are compared with the results of the finite volume method. The results show that the first-order upwind (FUD) scheme exhibits the false diffusion at a larger-Peclet number; the QUICK scheme and the MLPG method can obtain much closed solutions; but they have small overshoots produced at larger-Peclet number. The results also indicate that the MLPG method is a highly effective and accurate numerical method to deal with convection-dominated flow problems and can eliminate the effect of the false diffusion.
机构:
Purdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA
Univ Texas Austin, Dept Petr & Geosyst Engn, Austin, TX 78712 USAPurdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA
Leng, Yu
Tian, Xiaochuan
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机构:
Univ Calif San Diego, Dept Math, San Diego, CA 92093 USAPurdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA
Tian, Xiaochuan
Demkowicz, Leszek
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机构:
Univ Texas Austin, Oden Inst Computat Engn & Sci, Austin, TX 78712 USAPurdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA
Demkowicz, Leszek
Gomez, Hector
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机构:
Purdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USAPurdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA
Gomez, Hector
Foster, John T.
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机构:
Univ Texas Austin, Dept Petr & Geosyst Engn, Austin, TX 78712 USAPurdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA
机构:
Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
Shihezi Univ, Coll Sci, Dept Math, Shihezi 832003, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
Qian, Lingzhi
Cai, Huiping
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机构:
Shihezi Univ, Coll Sci, Dept Math, Shihezi 832003, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
Cai, Huiping
Guo, Rui
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机构:
Shihezi Univ, Coll Sci, Dept Math, Shihezi 832003, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
Guo, Rui
Feng, Xinlong
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China