Power diagrams: properties, algorithms and applications
SIAM Journal on Computing
Approximate Newton methods for nonsmooth equations
Journal of Optimization Theory and Applications
Reconstructing volume tracking
Journal of Computational Physics
Numerical simulation of free surface flows
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
On the Convergence of Pattern Search Algorithms
SIAM Journal on Optimization
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
A geometrical area-preserving volume-of-fluid advection method
Journal of Computational Physics
Journal of Computational Physics
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
Journal of Computational Physics
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 0.99 |
A numerical method for the reconstruction of interfaces in finite volume schemes for multiphase flows is presented. The computation of the triple point at the intersection of three materials in two dimensions of space is addressed. The determination of the normal vectors between pairs of materials is obtained with a finite element approximation. A numerical method for the localization of a triple point is described as the minimum of a constrained minimization problem inside an interfacial cell of the discretization. For given volume fractions of materials in the cell, an interior-point/Newton method is used for the reconstruction of the local geometry and the localization of the triple point. Initialization of the Newton method is performed with a derivative-free algorithm. Numerical results are presented for static and pure advection cases to illustrate the efficiency and robustness of the algorithm.