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 - <p style="text-align: justify;">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&#39;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.</p>