Automatic parallelization of finite element CFD code using HPC middleware

Computational fluid analysis requires huge amounts of computational resources. However, for the usual developer, parallelization is difficult as it requires special programming skills. In this study, the “HPC Middleware” is employed, which supports parallelization and optimizations for easily developing parallel code. The parallel efficiency of...

Energy stable finite element schemes and their applications to two-fluid flow problems

We present energy stable finite element schemes for two-fluid problems with interfacial tension. The interface is captured by solving numerically ordinary differential equations and the interface tension is brought in into the weak formulation of the finite element scheme. Some numerical results of rising bubble problems show the robustness and...

On finite element variational multiscale methods for incompressible turbulent flows

Two realizations of finite element variational multiscale (VMS) methods for the simulation of incompressible turbulent flows are studied. The difference between the two approaches consists in the way the spaces for the large scales and the resolved small scales are chosen. The paper addresses issues of the implementation of these methods, the...

A (dis)continuous finite element model for generalized 2D vorticity dynamics

A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finite...

3D lid driven cavity flow by mixed boundary and finite element method

A numerical algorithm for the solution of the velocity-vorticity formulation of Navier-Stokes equations is presented. This formulation results in splitting of fluid flow into its kinematic and kinetic aspect. The Boundary Element Method (BEM) used for the solution of flow kinematics results in an implicit calculation of vorticity values at the...

Stabilized finite element methods in the inertial range: Monitoring artificial dissipation

In this note we will first discuss finite element discretizations of the incompressible Navier-Stokes equations with some artificial dissipation added in the form of either a turbulence model or some numerical stabilization term. We will then review some results on interior penalty stabilized finite element methods for incompressible flow. These...

A numerical investigation of the boundary commutation error in large eddy simulation

The boundary commutation error in large eddy simulation is studied numerically. It is shown that an accurate representation of the boundary commutation error has an important role in a reliable large eddy simulation of wall bounded flows. The numerical experiments in this paper are conducted for a 2D channel flow.