Accurate solutions to the square thermally driven cavity at high Rayleigh number
Computers and Fluids
SIAM Journal on Scientific and Statistical Computing
A continuum method for modeling surface tension
Journal of Computational Physics
A one-cell local multigrid method for solving unsteady incompressible multiphase flows
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Journal of Computational Physics
Solving unsymmetric sparse systems of linear equations with PARDISO
Future Generation Computer Systems - Special issue: Selected numerical algorithms
A one-parameter family of interpolating kernels for smoothed particle hydrodynamics studies
Journal of Computational Physics
A Lagrangian VOF tensorial penalty method for the DNS of resolved particle-laden flows
Journal of Computational Physics
Hi-index | 31.45 |
The numerical simulation of the interaction between a free surface flow and a moving obstacle is considered for the analysis of hydroplaning flows. A new augmented Lagrangian method, coupled to fictitious domains and penalty methods, is proposed for the simulation of multi-phase flows. The augmented Lagrangian parameter is estimated by an automatic analysis of the discretization matrix resulting from the approximation of the momentum equations. The algebraic automatic augmented Lagrangian 3AL approach is validated on the natural convection in a differentially heated cavity, a two-dimensional collapse of a water column, the three-dimensional settling of a particle in a tank and the falling of a dense cylinder in air. Finally, the 3AL method is utilized to simulate the hydroplaning of a tire under various pattern shape conditions.