上海交通大学学报（英文版） ›› 2012, Vol. 17 ›› Issue (4): 484-489.doi: 10.1007/s12204-012-1310-0

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Modified QUICK Schemes for 3D Advection-Diffusion Equation of Pollutants on Unstructured Grids

XING Ling-hang1 (刑领航), YAN Ming2 (严明), HUANG Guo-bing1 (黄国兵), LI Fei3 (李飞), TANG Wen-jian4 (唐文坚)   

  1. (1. Hydraulic Research Institute, Changjiang River Scientific Research Institute, Wuhan 430010, China; 2. College of Environmental Science and Engineering, Hohai University, Nanjing 210098, China; 3. Planning Projects Agency, Changjiang Water Resources Commission, Wuhan 430010, China; 4. International Science and Technology Cooperation Bureau, Changjiang Water Resources Commission, Wuhan 430010, China)
  • 出版日期:2012-08-30 发布日期:2012-11-16

Modified QUICK Schemes for 3D Advection-Diffusion Equation of Pollutants on Unstructured Grids

XING Ling-hang1 (刑领航), YAN Ming2 (严明), HUANG Guo-bing1 (黄国兵), LI Fei3 (李飞), TANG Wen-jian4 (唐文坚)   

  1. (1. Hydraulic Research Institute, Changjiang River Scientific Research Institute, Wuhan 430010, China; 2. College of Environmental Science and Engineering, Hohai University, Nanjing 210098, China; 3. Planning Projects Agency, Changjiang Water Resources Commission, Wuhan 430010, China; 4. International Science and Technology Cooperation Bureau, Changjiang Water Resources Commission, Wuhan 430010, China)
  • Online:2012-08-30 Published:2012-11-16

摘要： In the framework of finite volume method (FVM), two modified schemes of quadratic upstream interpolation for convective kinematics (QUICK), namely quasi-QUICK (Q-QUICK) and normal quasi-QUICK (NQ-QUICK), for improving the precision of convective flux approximation are verified in 3D unsteady advectiondiffusion equation of pollutants on unstructured grids. The constructed auxiliary nodes for Q-QUICK or NQQUICK are composed of two neighboring nodes plus the next upwind node; the later node is generated from intersection of the line of current neighboring nodes and their corresponding interfaces. The numerical results show that Q-QUICK and NQ-QUICK overwhelm central differencing scheme (CDS) in computational accuracy and behave similar numerical stability to upwind difference scheme (UDS), hybrid differencing scheme (HDS) and power difference scheme (PDS) after applying the deferred correction method. Their corresponding CPU time is approximately equivalent to that of traditional difference schemes. In addition, their abilities for adapting high grid deformation are robust. It is so promising to apply the suggested schemes to simulate pollutant transportation on arbitrary 3D natural boundary in the hydraulic or environmental engineering.

关键词: 3D unstructured grids, quadratic upstream interpolation for convective kinematics (Q-QUICK), normal quasi-QUICK (NQ-QUICK), finite volume method (FVM)

Abstract: In the framework of finite volume method (FVM), two modified schemes of quadratic upstream interpolation for convective kinematics (QUICK), namely quasi-QUICK (Q-QUICK) and normal quasi-QUICK (NQ-QUICK), for improving the precision of convective flux approximation are verified in 3D unsteady advectiondiffusion equation of pollutants on unstructured grids. The constructed auxiliary nodes for Q-QUICK or NQQUICK are composed of two neighboring nodes plus the next upwind node; the later node is generated from intersection of the line of current neighboring nodes and their corresponding interfaces. The numerical results show that Q-QUICK and NQ-QUICK overwhelm central differencing scheme (CDS) in computational accuracy and behave similar numerical stability to upwind difference scheme (UDS), hybrid differencing scheme (HDS) and power difference scheme (PDS) after applying the deferred correction method. Their corresponding CPU time is approximately equivalent to that of traditional difference schemes. In addition, their abilities for adapting high grid deformation are robust. It is so promising to apply the suggested schemes to simulate pollutant transportation on arbitrary 3D natural boundary in the hydraulic or environmental engineering.

Key words: 3D unstructured grids, quadratic upstream interpolation for convective kinematics (Q-QUICK), normal quasi-QUICK (NQ-QUICK), finite volume method (FVM)

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