Properties of n-dimensional triangulations
Computer Aided Geometric Design
Surface tension and viscosity with Lagrangian hydrodynamics on a triangular mesh
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
Local simulation of two-phase flows including interface tracking with mass transfer
Journal of Computational Physics
Construction of three-dimensional improved-quality triangulations using local transformations
SIAM Journal on Scientific Computing
An adaptive mesh algorithm for evolving surfaces: simulation of drop breakup and coalescence
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization
SIAM Journal on Scientific Computing
Analysis of an exact fractional step method
Journal of Computational Physics
Algebraic mesh quality metrics for unstructured initial meshes
Finite Elements in Analysis and Design
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
An iterative working-set method for large-scale nonconvex quadratic programming
Applied Numerical Mathematics
An auxiliary grid method for computations of multiphase flows in complex geometries
Journal of Computational Physics
A moving mesh interface tracking method for 3D incompressible two-phase flows
Journal of Computational Physics
Local remeshing for large amplitude grid deformations
Journal of Computational Physics
HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
Journal of Computational Physics
Journal of Computational Physics
Adaptive moment-of-fluid method
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Hi-index | 31.50 |
An unstructured, three-dimensional, moving-mesh algorithm is developed for free-surface flows with the capability of simulating large deformation. A robust edge swapping algorithm and an optimization-based mesh smoothing algorithm are used to improve mesh quality as the interface deforms. The edge swapping algorithm uses an optimal swap sequence to transform configurations with several tetrahedra sharing a common edge. The optimization-based mesh smoothing relocates vertex position so that the minimum quality of the incident cells is maximized. Also, edge contraction and bisection are used to adjust the mesh resolution according to surface curvature. These local refinements effectively maintain good mesh quality and appropriate mesh size while avoiding global re-meshing. This scheme's robustness and accuracy are demonstrated with deforming liquid ligaments, periodic jets, and colliding droplets.