An Adaptive Hp-finite Element Method for Incompressible Free-surface Flows of Generalized Newtonian Fluids
(1995) Zeitschrift für angewandte Mathematik und Physik — Vol. 46, p. S643-S678 (1995)
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- Abstract
- An adaptive hp-finite element method for free surface flows of incompressible viscous fluids is presented. Generalized Newtonian models and surface tension effects are included. Principal components of our method are a reliable discretization of the free surface, a moving grid algorithm, an a posteriori error estimator and an efficient adaptive strategy. A full Newton-Raphson iterative scheme and an adequate data structure are employed in the analysis. Numerical experiments that illustrate applications of the method to model free surface flows are included.
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Legat, V., & Oden, JT. (1995). An Adaptive Hp-finite Element Method for Incompressible Free-surface Flows of Generalized Newtonian Fluids. Zeitschrift für angewandte Mathematik und Physik, 46, S643-S678. https://hdl.handle.net/2078.5/144683 (Original work published 1995)