We show that a compact hyperbolizable acylindrical 3-manifold with non-empty incompressible boundary, in which every boundary component has genus at least two, necessarily contains a closed immersed essential surface.

Recent progress at IIHR on the development of CFDShip-Iowa version 6 is presented. Current focus is on a sharp interface Cartesian grid method for the large-eddy simulation (LES) of turbulent two-phase incompressible flows. In this method, the level set formulation for two-phase incompressible flows is adopted. The density and pressure jump conditions across the interface (the latter due to sur...

Many problems involving the interaction of an elastic structure and a viscous fluid can be solved by the immersed boundary (IB) method. In the IB approach to such problems, the elastic forces generated by the immersed structure are applied to the surrounding fluid, and the motion of the immersed structure is determined by the local motion of the fluid. Recently, the IB method has been extended ...

A strongly coupled algorithm is presented for the incompressible fluid–rigid body interaction using moving immersed boundary method. The pressure and force are treated as Lagrange multipliers to enforce incompressibility no-slip wall constraints. To compute two unknowns from velocity field, we adopt fractional step successively apply Poisson equation a derived force, respectively. As both coeff...

Immersed boundary methods (IBMs) are versatile and efficient computational techniques to solve flow problems in complex geometric configurations that retain the simplicity efficiency of Cartesian structured meshes. Although these became known 1970s gained credibility only new millennium, they had already been conceived implemented at beginning 1960s, even if early computers those times did not ...

We propose a computational framework to study the growth and spread of bacterial biofilms on interfaces, as well action antibiotics them. Bacterial membranes are represented by boundaries immersed in fluid matrix subject interaction forces. Growth, division death cells follow dynamic energy budget rules, response variations environmental concentrations nutrients, toxicants substances released c...

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...