Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Inexact and preconditioned Uzawa algorithms for saddle point problems
SIAM Journal on Numerical Analysis - Special issue: the articles in this issue are dedicated to Seymour V. Parter
High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
Reconstructing volume tracking
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Communications of the ACM
Journal of Computational Physics
An adaptive mesh algorithm for evolving surfaces: simulation of drop breakup and coalescence
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Hidden surface removal using polygon area sorting
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Second order accurate volume tracking based on remapping for triangular meshes
Journal of Computational Physics
Journal of Computational Physics
Computation of multiphase systems with phase field models
Journal of Computational Physics
Conservative multigrid methods for Cahn-Hilliard fluids
Journal of Computational Physics
A quadtree adaptive method for simulating fluid flows with moving interfaces
Journal of Computational Physics
A volume of fluid method based on multidimensional advection and spline interface reconstruction
Journal of Computational Physics
Journal of Computational Physics
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
Journal of Computational Physics
Adaptive unstructured volume remeshing - I: The method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A parallelized, adaptive algorithm for multiphase flows in general geometries
Computers and Structures
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid
Journal of Scientific Computing
An extended pressure finite element space for two-phase incompressible flows with surface tension
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
Transient adaptivity applied to two-phase incompressible flows
Journal of Computational Physics
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
Journal of Computational Physics
Interaction of two-phase flow with animated models
Graphical Models
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Short note: A volume of fluid approach for crystal growth simulation
Journal of Computational Physics
Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional stokes flow
Journal of Computational Physics
A new volume-of-fluid method with a constructed distance function on general structured grids
Journal of Computational Physics
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.51 |
We present an adaptive coupled level-set/volume-of-fluid (ACLSVOF) method for interfacial flow simulations on unstructured triangular grids. At each time step, we evolve both the level set function and the volume fraction. The level set function is evolved by solving the level set advection equation using a discontinuous Galerkin finite element method. The volume fraction advection is performed using a Lagrangian-Eulerian method. The interface is reconstructed based on both the level set and the volume fraction information. In particular, the interface normal vector is calculated from the level set function while the line constant is determined by enforcing mass conservation based on the volume fraction. Different from previous works, we have developed an analytic method for finding the line constant on triangular grids, which makes interface reconstruction efficient and conserves volume of fluid exactly. The level set function is finally reinitialized to the signed distance to the reconstructed interface. Since the level set function is continuous, the normal vector calculation is easy and accurate compared to a classic volume-of-fluid method, while tracking the volume fraction is essential for enforcing mass conservation. The method is also coupled to a finite element based Stokes flow solver. The code validation shows that our method is second order and mass is conserved very accurately. In addition, owing to the adaptive grid algorithm we can resolve complex interface changes and interfaces of high curvature efficiently and accurately.