A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Journal of Computational Physics
The point-set method: front-tracking without connectivity
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
Journal of Computational Physics
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
Discretization of Dirac delta functions in level set methods
Journal of Computational Physics
A moving mesh interface tracking method for 3D incompressible two-phase flows
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
Computation of the curvature field in numerical simulation of multiphase flow
Journal of Computational Physics
Journal of Computational Physics
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
Journal of Computational Physics
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
Journal of Computational Physics
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
Three-dimensional, fully adaptive simulations of phase-field fluid models
Journal of Computational Physics
Connectivity-free front tracking method for multiphase flows with free surfaces
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
We present a new interface reconstruction technique, the Local Front Reconstruction Method (LFRM), for incompressible multiphase flows. This new method falls in the category of Front Tracking methods but it shares automatic topology handling characteristics of the previously proposed Level Contour Reconstruction Method (LCRM). The LFRM tracks the phase interface explicitly as in Front Tracking but there is no logical connectivity between interface elements thus greatly easing the algorithmic complexity. Topological changes such as interfacial merging or pinch off are dealt with automatically and naturally as in the Level Contour Reconstruction Method. Here the method is described for both two- and three-dimensional flow geometries. The interfacial reconstruction technique in the LFRM differs from that in the LCRM formulation by foregoing using an Eulerian distance field function. Instead, the LFRM uses information from the original interface elements directly to generate the new interface in a mass conservative way thus showing significantly improved local mass conservation. Because the reconstruction procedure is independently carried out in each individual reconstruction cell after an initial localization process, an adaptive reconstruction procedure can be easily implemented to increase the accuracy while at the same time significantly decreasing the computational time required to perform the reconstruction. Several benchmarking tests are performed to validate the improved accuracy and computational efficiency as compared to the LCRM. The results demonstrate superior performance of the LFRM in maintaining detailed interfacial shapes and good local mass conservation especially when using low-resolution Eulerian grids.