A method for reducing the spurious pressure oscillations observed when simulating moving boundary flow problems with sharp-interface immersed boundary methods (IBMs) is proposed. By first identifying the primary cause of these oscillations to be the violation of the geometric conservation law near the immersed boundary, we adopt a cut-cell based approach to strictly enforce geometric conservati...

The immersed boundary method is a computational framework for problems involving the interaction of a fluid and immersed elastic structures. Immersed boundary computations typically evaluate the elastic forces explicitly in the configuration of the immersed elastic structure. In many applications this results in a severe restriction on the time step. We present a semi-implicit and a fully impli...

In this paper we consider a modiication of the immersed boundary method based on a nite element approximation of the uid. Besides some theoretical considerations, we present two dimensional numerical examples which connrm the good behavior of the computed solutions.

Article history: Received 16 November 2010 Received in revised form 15 February 2011 Accepted 9 March 2011 Available online 16 March 2011

Article history: Received 7 April 2016 Received in revised form 10 November 2016 Accepted 25 November 2016 Available online 29 November 2016

Many insects are able to sense their surrounding fluid environment through induced motion of their filiform hairs. The mechanism by which the insect can sense a wide range of input signals using the canopy of filiform hairs of different length and orientation is of great interest. Most of the previous filiform hair models have focused on a single, rigid hair in an idealized air field. We have d...

The method of geodesic expansions is systematically explained. Based on the Haar measures of the group of geodesic expansions the semiclassical sum over immersed manifolds is constructed. Gauge fixing is performed via the Faddeev Popov method.

This work presents an immersed boundary–lattice Boltzmann method for free-swimming sperms in an incompressible viscous fluid. This method involves sperm model, fluid solver and fluid– structure interaction (FSI). The sperm is simplified as a nonlinear beam. To drive the swimming motion, an internal moment is introduced into the beam equation. The fluid dynamics is obtained by solving the lattic...