The LS-STAG Immersed Boundary Method Modification for Viscoelastic Flow Computations

Recent Progress on the Ls-stag Immersed Boundary Method for the Computation of Viscoelastic and Pseudo-plastic Liquids

This communication presents a progress report on an ongoing project aiming at the computation of complex fluid flows with a realistic constitutive law, which would takes into account the pseudoplastic, viscoelastic and thixotropic behaviour of the materials. The flow solver is based on the LS-STAG method, which is an immersed boundary (IB) method that allows the computation of flows in complex ...

Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow

The immersed boundary method has been extensively used to simulate the motion of elastic structures immersed in a viscous fluid. For some applications, such as modeling biological materials, capturing internal boundary viscosity is important. We present numerical methods for simulating Kelvin-Voigt and standard linear viscoelastic structures immersed in zero Reynolds number flow. We find that t...

The LS-STAG Method : A new Immersed Boundary / Level-Set Method for the Computation of Incompressible Viscous Flows in Complex Geometries

Much attention has recently been devoted to the extension of Cartesian grid flow solvers to complex geometries by immersed boundary (IB) methods (see [4, 6] for recent reviews). In these methods, the irregular boundary is not aligned with the computational grid, and the treatment of the cells which are cut by the boundary remains an important issue. Indeed, the discretization in these cut-cells...

Stability and Convergence of Immersed Boundary Computations

The immersed boundary method : a

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.