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- W2176164027 abstract "Understanding the behavior of complex fluids in biology presents mathematical, modeling, and computational challenges not encountered in classical fluid mechanics, particularly in the case of fluids with large elastic forces that interact with immersed elastic structures. We discuss some of the characteristics of strongly elastic flows and introduce different models and methods designed for these types of flows. We describe contributions from analysis that motivate numerical methods and illustrate their performance on different models in a simple test problem. Biological problems often involve the coupled dynamics of active elastic structures and the surrounding fluid. The immersed boundary method has been used extensively for such problems involving Newtonian fluids, and the methodology extends naturally to complex fluids in conjunction with the algorithms described earlier in this chapter. We focus on implicit-time methods because the large elastic stresses in complex fluids necessitate high spatial resolution and long time simulations. As an example to highlight some of the challenges of strongly elastic flows, we use the immersed boundary method to simulate an undulatory swimmer in a viscoelastic fluid using a data-based model for the prescribed shape." @default.
- W2176164027 created "2016-06-24" @default.
- W2176164027 creator A5036083892 @default.
- W2176164027 creator A5072156472 @default.
- W2176164027 date "2014-10-30" @default.
- W2176164027 modified "2023-09-25" @default.
- W2176164027 title "Computational Challenges for Simulating Strongly Elastic Flows in Biology" @default.
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