A Fast Algorithm for Non-Newtonian Flow.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The goals of the project described here are twofold First, to turn an existing pilot algorithm for the steady flow of non-Newtonian memory fluids into a robust and efficient algorithm. Second, render enhancements of the methods current capabilities computationally feasible. Such enhancements include fully coupled thermal dependence, material compressibility, and free surface flows. The pilot algorithm is a finite element method whose novelty lies in its computation of the stress field in a nonlinear iteration scheme. The stress at a point is a non-local functional of the current velocity iterate, and the pilot method has demonstrated the feasibility of reliable computation with such constitutive equations. Before the method can take its place as a reliable scientific and engineering tool, intensive effort must be made to reduce the computational cost in the manner described here. KeywordsEquations of motion Viscoelastic fluids Fluid flow. Author
- Theoretical Mathematics
- Fluid Mechanics