AN ADAPTIVELY REFINED LEAST-SQUARES FINITE ELEMENT METHOD FOR GENERALIZED NEWTONIAN FLUID FLOWS USING THE CARREAU MODEL

作者：Lee Hsueh Chen^*

来源：SIAM Journal on Scientific Computing, 2014, 36(1): A193-A218.

DOI：10.1137/130912682

• least-squares
• Carreau model
• adaptive mesh refinement
• generalized Newtonian fluid

We implemented an adaptively refined least-squares finite element approach for the Navier-Stokes equations that govern generalized Newtonian fluid flows using the Carreau model. To capture the flow region, we developed an adaptive mesh refinement approach based on the least-squares method. The generated refined grids agree well with the physical attributes of the flows. We also proved that the least-squares approximation converges to the linearized versions solutions of the Carreau model at the best possible rate. Model problems considered in the study are the flow past a planar channel and 4-to-1 contraction problems. We presented the numerical results of the model problems, revealing the efficiency of the proposed scheme, and investigated the physical parameter effects.

• 出版日期2014