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Polymeric Fluid Dynamics on Parallel Supercomputers

Osman Yasargif, David S. Malkusgif and Tai-Ping Tsaigif


Constitutive properties of Polymeric (non-Newtonian) Fluids has been a topic for many researchers in the last several decades. Understanding polymer fluid dynamics is important for the industry in connection with plastics manufacture, performance of lubricants, application of paints, processing of foodstuffs, and movement of biological fluids. Numerical schemes have been developed to match the experiments both qualitatively and quantitatively. One of the most common examples to test the numerical schemes is the contraction flow problem. Although the cause of numerical breakdowns remain a controversy, one approach is to include the spurt phenomena in the model, which requires that fully dynamic equations be considered. Solution of a non-Newtonian flow is computationally intensive because of the nonlinearity both in the equation of motion and in the constitutive equations. Also, solving fully dynamic equations is time-consuming due to the small time steps. We describe a parallel finite element algorithm and its implementation on the Intel architectures to tackle this problem. Parallel versions (on 16 nodes) run almost 10 times faster than the serial version on Sun SPARCstations. The parallel efficiency has been measured to be more than 70 % and the performance on 16 nodes is 2 times better than the CRAY Y-MP version.

Osman Yasar
Tue Jan 21 16:43:41 EST 1997