The immersed boundary (IB) method is a mathematical formulation for fluid-structure interaction problems, where immersed incompressible visco-elastic bodies or boundaries interact with an incompressible fluid. The original numerical scheme associated to the IB method requires a smoothed approximation of the Dirac delta distribution to link the moving Lagrangian domain with the fixed Eulerian on...

In this paper, we present a combined immersed-boundary/ghost-fluid sharp interface method for the simulations of three-dimensional two-phase flows interacting with moving bodies on fixed Cartesian grids. This work is based on a sharp interface immersed boundary method for fluid flows interacting with moving bodies and a level set based ghost fluid method (GFM) for two-phase interface treatment....

We present an immersed interface method for the incompressible Navier Stokes equations capable of handling rigid immersed boundaries. The immersed boundary is represented by a set of Lagrangian control points. In order to guarantee that the no-slip condition on the boundary is satisfied, singular forces are applied on the fluid at the immersed boundary. The forces are related to the jumps in pr...

The boundary slip error resulting from the interpolation/spreading non-reciprocity of direct-forcing immersed-boundary method is analyzed based on a simple and generic theoretical framework. In explicit implementations, scales with Courant number, as predicted by analysis confirmed lattice-Boltzmann simulation results. Using an analytical approximation error, force can be corrected in order to ...

We present new algorithms for the parallelization of Eulerian–Lagrangian interaction operations in immersed boundary method. Our rely on two well-studied parallel primitives: key-value sort and segmented reduce. The use these primitives allows us to implement our both graphics processing units (GPUs) other shared-memory architectures. strong weak scaling tests problems involving scattered point...

in this study, we proposed a novel scheme for the implementation of the no-slip boundary condition in thelattice boltzmann method (lbm) . in detail , we have substituted the classical bounce-back idea by the direct immersed boundary specification . in this way we construct the equilibrium density functions in such a way that it feels the no-slip boundaries . therefore , in fact a kind of equili...