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....

A global methodology for simulating multiphase flows and heat transfers interacting with complex objects or interfaces is presented. Elliptic equations or Navier-Stokes equations are resolved on a fixed structured curvilinear grid and the solid objects are initially represented by triangular surface elements. Several difficulties arise as soon as these two non-conforming grids have to interact ...

An immersed interface-lattice Boltzmann method (II-LBM) is developed for modelling fluid-structure systems. The key element of this approach the determination jump conditions that are satisfied by distribution functions within framework lattice when forces imposed along a surface in an incompressible fluid. In initial II-LBM, discontinuity related to normal portion interfacial force sharply res...

In this paper, we introduce a locally conservative enriched immersed finite element method (EIFEM) to tackle the elliptic problem with interface. The is useful for handling interface mesh unfit However, all currently available under IFEM framework may not be designed consider flux conservation. We provide an efficient and effective remedy issue by introducing local piecewise constant enrichment...

∧ for determining the singular force for the boundary of a rigid objectwith prescribedmotion in 2D [Sheng Xu, The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow, J. Comput. Phys. 227 (2008) 5045–5071]. ∧ Necessary formulas for extending the approach to 3D ∧ are derived in this ∧ work. With the implementation of these formulas, the i...

In this manuscript we present a p-th degree immersed finite element method for solving boundary value problems with discontinuous coefficients. In this method, interface jump conditions are employed in the finite element basis functions, and the mesh does not have to be aligned with coefficient discontinuity. We show that under h refinement the immersed finite element solution converges to the ...