Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
Incremental remapping as a transport&slash;advection algorithm
Journal of Computational Physics
A new volume of fluid advection algorithm: the stream scheme
Journal of Computational Physics
A one-cell local multigrid method for solving unsteady incompressible multiphase flows
Journal of Computational Physics
Journal of Computational Physics
Fast and accurate computation of polyhedral mass properties
Journal of Graphics Tools
An efficient linearity-and-bound-preserving remapping method
Journal of Computational Physics
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
Journal of Computational Physics
A quadtree adaptive method for simulating fluid flows with moving interfaces
Journal of Computational Physics
The repair paradigm and application to conservation laws
Journal of Computational Physics
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
Journal of Computational Physics
Journal of Computational Physics
An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
Journal of Computational Physics
Adaptive tetrahedral meshing in free-surface flow
Journal of Computational Physics
A Cartesian grid embedded boundary method for hyperbolic conservation laws
Journal of Computational Physics
The repair paradigm: New algorithms and applications to compressible flow
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
A new interface tracking method: The polygonal area mapping method
Journal of Computational Physics
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Space-time discontinuous Galerkin finite element method for two-fluid flows
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
Journal of Scientific Computing
Journal of Scientific Computing
Hi-index | 31.46 |
A novel adaptive mesh refinement (AMR) strategy based on the moment-of-fluid (MOF) method for volume-tracking of evolving interfaces is presented. Moment-of-fluid method is a new interface reconstruction and volume advection method using volume fractions as well as material centroids. The mesh refinement criterion is based on the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. The centroid error indicator detects not only high curvature regions but also regions with complicated subcell structures like filaments. A new Lagrange+remap scheme is presented for advecting moments, which includes Lagrangian backtracking, polygon intersection-based remapping and forward tracking to define the material centroid. The effectiveness and efficiency of AMR-MOF method is demonstrated with classical test problems, such as Zalesak's disk and reversible vortex problem. The comparison with previously published results for these problems shows the superior accuracy of the AMR-MOF method over other methods. In addition, two new test cases with severe deformation rates are introduced, namely droplet deformation and S-shape deformation problems, for further demonstration of the capabilities of the AMR-MOF method.