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Volume 27, Issue 2-3
An Efficient Moving Mesh Method for a Model of Turbulent Flow in Circular Tubes

Yin Yang, Yanping Chen & Yunqing Huang

J. Comp. Math., 27 (2009), pp. 388-399.

Published online: 2009-04

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  • Abstract

This paper presents an efficient moving mesh method to solve a nonlinear singular problem with an optimal control constrained condition. The physical problem is governed by a new model of turbulent flow in circular tubes proposed by Luo et al. using Prandtl's mixing-length theory. Our algorithm is formed by an outer iterative algorithm for handling the optimal control condition and an inner adaptive mesh redistribution algorithm for solving the singular governing equations. We discretize the nonlinear problem by using an upwinding approach, and the resulting nonlinear equations are solved by using the Newton-Raphson method. The mesh is generated and the grid points are moved by using the arc-length equidistribution principle. The numerical results demonstrate that proposed algorithm is effective in capturing the boundary layers associated with the turbulent model.

  • Keywords

Eddy viscosity, Turbulent pipe flow, Boundary layer, Optimal control, Moving mesh.

  • AMS Subject Headings

65L10, 65L12.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-388, author = {Yin Yang, Yanping Chen and Yunqing Huang}, title = {An Efficient Moving Mesh Method for a Model of Turbulent Flow in Circular Tubes}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {2-3}, pages = {388--399}, abstract = {

This paper presents an efficient moving mesh method to solve a nonlinear singular problem with an optimal control constrained condition. The physical problem is governed by a new model of turbulent flow in circular tubes proposed by Luo et al. using Prandtl's mixing-length theory. Our algorithm is formed by an outer iterative algorithm for handling the optimal control condition and an inner adaptive mesh redistribution algorithm for solving the singular governing equations. We discretize the nonlinear problem by using an upwinding approach, and the resulting nonlinear equations are solved by using the Newton-Raphson method. The mesh is generated and the grid points are moved by using the arc-length equidistribution principle. The numerical results demonstrate that proposed algorithm is effective in capturing the boundary layers associated with the turbulent model.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8578.html} }
TY - JOUR T1 - An Efficient Moving Mesh Method for a Model of Turbulent Flow in Circular Tubes AU - Yin Yang, Yanping Chen & Yunqing Huang JO - Journal of Computational Mathematics VL - 2-3 SP - 388 EP - 399 PY - 2009 DA - 2009/04 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8578.html KW - Eddy viscosity, Turbulent pipe flow, Boundary layer, Optimal control, Moving mesh. AB -

This paper presents an efficient moving mesh method to solve a nonlinear singular problem with an optimal control constrained condition. The physical problem is governed by a new model of turbulent flow in circular tubes proposed by Luo et al. using Prandtl's mixing-length theory. Our algorithm is formed by an outer iterative algorithm for handling the optimal control condition and an inner adaptive mesh redistribution algorithm for solving the singular governing equations. We discretize the nonlinear problem by using an upwinding approach, and the resulting nonlinear equations are solved by using the Newton-Raphson method. The mesh is generated and the grid points are moved by using the arc-length equidistribution principle. The numerical results demonstrate that proposed algorithm is effective in capturing the boundary layers associated with the turbulent model.

Yin Yang, Yanping Chen and Yunqing Huang. (2009). An Efficient Moving Mesh Method for a Model of Turbulent Flow in Circular Tubes. Journal of Computational Mathematics. 27 (2-3). 388-399. doi:
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