The immersed boundary method is a general technique for modeling elastic boundaries immersed within a viscous, incompressible fluid. The method has been applied to several biological and engineering systems, including large scale models of the heart and cochlea. These simulations have the potential to improve our basic understanding of the biological systems they model and aid in the developmen...

Peskin’s Immersed Boundary (IB) method is one of the most popular numerical methods for many years and has been applied to problems in mathematical biology, fluid mechanics, material sciences, and many other areas. Peskin’s IB method is associated with discrete delta functions. It is believed that the IB method is first order accurate in the L∞ norm. But almost none rigorous proof could be foun...

To investigate the use of linear diode laser bars to optically stretch cells and measure their mechanical properties, we present numerical simulations using the immersed boundary method (IBM) coupled with classic ray optics. Cells are considered as three-dimensional (3D) spherical elastic capsules immersed in a fluid subjected to both optical and hydrodynamic forces in a periodic domain. We sim...

A novel smooth immersed boundary method (IBM) based on a direct-forcing formulation is proposed to simulate incompressible dense particle-laden flows. This IBM relies regularization of the transfer function between Eulerian grid points (to discretise fluid governing equations) and Lagrangian markers represent particle surface) fulfill no-slip condition at surfaces particles, allowing both symme...

We present a collocated-grid framework for direct numerical simulations of polydisperse particles submerged in viscous fluid. The fluid-particle forces are coupled with the immersed boundary method (IBM) while particle-particle modeled combination contact and lubrication models, adapted collocated grids. Our is modified from staggered-grid IBM previous authors to by adapting fluid particle solv...

The goal of this paper is to examine the evaluation of interfacial stresses using a standard, finite difference based, immersed boundary method (IMBM). This calculation is not trivial for two fundamental reasons. First, the immersed boundary is represented by a localized boundary force which is distributed to the underlying fluid grid by a discretized delta function. Second, this discretized de...

In this work, the inverse distance weighting (IDW) interpolation is introduced into implicit velocity correction-based immersed boundary method (IBM) for simulation of incompressible flows. original IBM, solid body must be in a uniform mesh region due to use smooth Dirac delta function, which utilized associate Lagrangian points with their surrounding Eulerian and only works meshes. The IDW has...

Osmotic forces and solute diffusion are increasingly seen as playing a fundamental role in cell movement. Here, we present a numerical method that allows for studying the interplay between diffusive, osmotic and mechanical effects. An osmotically active solute obeys a advection-diffusion equation in a region demarcated by a deformable membrane. The interfacial membrane allows transmembrane wate...

Abstract Development of a 3D sharp interface ghost node immersed boundary method (IBM) within fluid solver based on the compressible Navier–Stokes equations is underway. The objective IBM to accurately apply conditions at fluid–solid interfaces. currently being verified using various test cases, including classic cylinder in cross flow. As part this verification process, particular attention wa...