Power diagrams: properties, algorithms and applications
SIAM Journal on Computing
Generalizing the formula for areas of polygons to moments
American Mathematical Monthly
ENO schemes with subcell resolution
Journal of Computational Physics
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Reconstructing volume tracking
Journal of Computational Physics
Journal of Computational Physics
Incremental remapping as a transport&slash;advection algorithm
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Second order accurate volume tracking based on remapping for triangular meshes
Journal of Computational Physics
Material Interface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
An Eulerian-Lagrangian approach for simulating explosions of energetic devices
Computers and Structures
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
A numerical method for interface reconstruction of triple points within a volume tracking algorithm
Mathematical and Computer Modelling: An International Journal
A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
A compatible Lagrangian hydrodynamic scheme for multicomponent flows with mixing
Journal of Computational Physics
Hi-index | 31.46 |
A new, second-order accurate, volume conservative, material-order-independent interface reconstruction method for multi-material flow simulations is presented. First, materials are located in multi-material computational cells using a piecewise linear reconstruction of the volume fraction function. These material locator points are then used as generators to reconstruct the interface with a weighted Voronoi diagram that matches the volume fractions. The interfaces are then improved by minimizing an objective function that smoothes interface normals while enforcing convexity and volume constraints for the pure material subcells. Convergence tests are shown demonstrating second-order accuracy. Static and dynamic examples are shown illustrating the superior performance of the method over existing material-order-dependent methods.