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

DOI:

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 anonlinear singular problem with an optimal control constrainedcondition. The physical problem is governed by a new model ofturbulent flow in circular tubes proposed by Luo et al. usingPrandtl's mixing-length theory. Our algorithm is formed by an outeriterative algorithm for handling the optimal control condition andan inner adaptive mesh redistribution algorithm for solving thesingular governing equations. We discretize the nonlinear problem byusing a upwinding approach, and the resulting nonlinear equationsare solved by using the Newton-Raphson method. The mesh is generatedand the grid points are moved by using the arc-lengthequidistribution principle. The numerical results demonstrate thatproposed algorithm is effective in capturing the boundary layersassociated 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 = {}, 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 anonlinear singular problem with an optimal control constrainedcondition. The physical problem is governed by a new model ofturbulent flow in circular tubes proposed by Luo et al. usingPrandtl's mixing-length theory. Our algorithm is formed by an outeriterative algorithm for handling the optimal control condition andan inner adaptive mesh redistribution algorithm for solving thesingular governing equations. We discretize the nonlinear problem byusing a upwinding approach, and the resulting nonlinear equationsare solved by using the Newton-Raphson method. The mesh is generatedand the grid points are moved by using the arc-lengthequidistribution principle. The numerical results demonstrate thatproposed algorithm is effective in capturing the boundary layersassociated 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 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 KW - Turbulent pipe flow KW - Boundary layer KW - Optimal control KW - Moving mesh AB -

This paper presents an efficient moving mesh method to solve anonlinear singular problem with an optimal control constrainedcondition. The physical problem is governed by a new model ofturbulent flow in circular tubes proposed by Luo et al. usingPrandtl's mixing-length theory. Our algorithm is formed by an outeriterative algorithm for handling the optimal control condition andan inner adaptive mesh redistribution algorithm for solving thesingular governing equations. We discretize the nonlinear problem byusing a upwinding approach, and the resulting nonlinear equationsare solved by using the Newton-Raphson method. The mesh is generatedand the grid points are moved by using the arc-lengthequidistribution principle. The numerical results demonstrate thatproposed algorithm is effective in capturing the boundary layersassociated with the turbulent model.

Yin Yang, Yanping Chen & Yunqing Huang. (2019). 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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