A stable and accurate immersed boundary method for simulating vesicle dynamics via spherical harmonics

Journal of Computational Physics(2022)

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Abstract
•Spherical harmonics are employed to obtain high accuracy of geometric quantities.•Logarithmic formulation of elastic tension is used for surface incompressibility.•Numerical stability is improved by using divergence form of elastic tension force.•Mesh control technique via filtering of interfacial tangential velocity is coupled.
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Key words
Vesicle,Immersed boundary method,Spherical harmonics,Viscosity contrast,Inertia effect,Mesh control
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