| Abstract: |
| The immersed boundary (IB) method is widely used for the simulation of biological fluid dynamics and other problems where a structure is immersed in a Newtonian fluid. In the context of complex (viscoelastic) fluids, the IB method has enabled the study of a wide variety of dynamical problems including the settling of vesicles and the swimming of fibers in OldroydB fluids. However, to date, relatively little work has explored the accuracy or convergence properties of the numerical scheme. This talk will present benchmarking results for an IB solver for modeling viscoelastic flows in non-trivial geometries. To do so, I will present a variety of test cases, some inspired from experimental flow geometries and others based on numerical benchmarks obtained from more traditional finite element and finite volume methods.I will also compare the IB method against more complex finite element and finite volume viscoelastic flow solvers and, where possible, to real rheology experiments. |
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