A Chimera method for the incompressible Navier-Stokes equations

A Chimera Method for the Incompressible Navier-Stokes Equations

The Chimera method was developed three decades ago as a meshing simplification tool. Different components are meshed independently and then glued together using a domain decomposition technique to couple the equations solved on each component. This coupling is achieved via transmission conditions (in the finite element context) or by imposing the continuity of fluxes (in the finite volume conte...

An Active Penalty Method for the Incompressible Navier-Stokes Equations

The volume penalty method provides a simple, efficient approach for solving the incompressible Navier-Stokes equations in domains with boundaries or in the presence of moving objects. Despite the simplicity, the method suffers from poor convergence in the penalty parameter, thereby restricting accuracy of any numerical method. We demonstrate that one may achieve high order accuracy by introduci...

Preconditioners for the incompressible Navier Stokes equations

Computational Fluid Dynamics is frequently used nowadays to understand the flow in rivers, blood veins, around cars and planes, etc. This tool can also be used to make better cars and planes and to design dams and dikes to protect against flooding. In this talk we consider simulation with the incompressible Navier Stokes equations. After discretization by the Finite Element Method and lineariza...

An Immersed Interface Method for Incompressible Navier-Stokes Equations

A Discrete Kinetic Approximation for the Incompressible Navier Stokes Equations

Abstract. In this paper we introduce a new class of numerical schemes for the incompressible Navier-Stokes equations, which are inspired by the theory of discrete kinetic schemes for compressible fluids. For these approximations it is possible to give a stability condition, based on a discrete velocities version of the Boltzmann H–theorem. Numerical tests are performed to investigate their accu...