Numerical simulation of an extensible capsule using regularized Stokes kernels and overset finite differences

Dhwanit Agarwal, George Biros

Abstract: Highlights•Develops a scheme for deformable capsules in Stokesian fluid.•Employs integral equations with regularized Stokes kernels.•Utilizes atlas-based finite differences for shape derivatives.•Achieves O(N) complexity, surpassing O(N2log⁡N).•Leverages GPU for dynamic, high-resolution simulations of complex shapes.•Employs integral equations with regularized Stokes kernels.