13 research outputs found
High-order adaptive time stepping for vesicle suspensions with viscosity contrast
We construct a high-order adaptive time stepping scheme for vesicle
suspensions with viscosity contrast. The high-order accuracy is achieved using
a spectral deferred correction (SDC) method, and adaptivity is achieved by
estimating the local truncation error with the numerical error of physically
constant values. Numerical examples demonstrate that our method can handle
suspensions with vesicles that are tumbling, tank-treading, or both. Moreover,
we demonstrate that a user-prescribed tolerance can be automatically achieved
for simulations with long time horizons