by Charles S. Peskin

Courant Institute of Mathematical Sciences, New York University

with vectorized delta-function routines by Tristan Goodwill

The above notes are an expository introduction

to the content of the following paper by Devendran & Peskin:

An immersed boundary energy-based method for incompressible viscoelasticity

J Comput. Phys. 231: 4613–4642, 2012

Phys. Fluids 28: 033603, 2016

Homework related to the rigid pIB method

Statement an algorithm that implements the pIB method for this homework problem,

by Ramiro Rebolledo

SIAM J Sci. Comput. 31(1): 273–302, 2008

Matlab programs for a nice triangulation of a sphere to any level of refinement

Simulation of osmotic swelling by the stochastic immersed boundary method

SIAM J Sci Comput 37(4):B660–B688, 2015

Stochastic reductions for inertial fluid-structure interactions subject to thermal fluctuations

SIAM J Appl Math 75(4):1884–1914, 2015

Fluctuating hydrodynamics methods

for dynamic coarse-grained implicit-solvent simulations in LAMMPS

SIAM J Sci Comput 38(5):S62–S77, 2016

with divergence-free velocity interpolation and force spreading

J Comput. Phys. 347: 183-206, 2017

Gaussian-like immersed boundary kernels

with three continuous derivatives and improved translation invariance

arXiv:1505.07529v4

Derived from the Mathematical Formulation of the IB Method