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math.NA2023★ 7 cited
The Method of Harmonic Balance for the Giesekus Model under Oscillatory Shear
Shivangi Mittal, Yogesh M. Joshi, Sachin Shanbhag
The method of harmonic balance (HB) is a spectrally accurate method used to obtain periodic steady state solutions to dynamical systems subjected to periodic perturbations. We adap…
math.NA2018
Stable and contact-free time stepping for dense rigid particle suspensions
Lukas Bystricky, Sachin Shanbhag, Bryan D. Quaife
We consider suspensions of rigid bodies in a two-dimensional viscous fluid. Even with high-fidelity numerical methods, unphysical contact between particles occurs because of spatia…