Total-variation-diminishing time discretizations
SIAM Journal on Scientific and Statistical Computing
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations
SIAM Journal on Numerical Analysis
A continuum method for modeling surface tension
Journal of Computational Physics
Computing minimal surfaces via level set curvature flow
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A fast level set method for propagating interfaces
Journal of Computational Physics
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Communications of the ACM
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
The point-set method: front-tracking without connectivity
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Some Improvements of the Fast Marching Method
SIAM Journal on Scientific Computing
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
Computational aspects of dynamic surfaces
Computational aspects of dynamic surfaces
A numerical method for large-eddy simulation in complex geometries
Journal of Computational Physics
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
A Eulerian level set/vortex sheet method for two-phase interface dynamics
Journal of Computational Physics
Discretization of Dirac delta functions in level set methods
Journal of Computational Physics
Adaptive unstructured volume remeshing - I: The method
Journal of Computational Physics
Journal of Computational Physics
Hierarchical RLE level set: A compact and versatile deformable surface representation
ACM Transactions on Graphics (TOG)
A quadrature-free discontinuous Galerkin method for the level set equation
Journal of Computational Physics
Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Journal of Computational Physics
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
A spectrally refined interface approach for simulating multiphase flows
Journal of Computational Physics
Journal of Scientific Computing
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Simulation of Primary Breakup for Diesel Spray with Phase Transition
Proceedings of the 16th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
A parallel Eulerian interface tracking/Lagrangian point particle multi-scale coupling procedure
Journal of Computational Physics
The constrained reinitialization equation for level set methods
Journal of Computational Physics
Journal of Computational Physics
A nonlinear PSE method for two-fluid shear flows with complex interfacial topology
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
A lattice Boltzmann method for immiscible two-phase Stokes flow with a local collision operator
Computers & Mathematics with Applications
Connectivity-free front tracking method for multiphase flows with free surfaces
Journal of Computational Physics
Journal of Computational Physics
A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Journal of Computational Physics
Approximation of Single Layer Distributions by Dirac Masses in Finite Element Computations
Journal of Scientific Computing
A balanced-force algorithm for two-phase flows
Journal of Computational Physics
A gradient augmented level set method for unstructured grids
Journal of Computational Physics
A localized re-initialization equation for the conservative level set method
Journal of Computational Physics
Hi-index | 31.52 |
A balanced force refined level set grid method for two-phase flows on structured and unstructured flow solver grids is presented. To accurately track the phase interface location, an auxiliary, high-resolution equidistant Cartesian grid is introduced. In conjunction with a dual-layer narrow band approach, this refined level set grid method allows for parallel, efficient grid convergence and error estimation studies of the interface tracking method. The Navier-Stokes equations are solved on an unstructured flow solver grid with a novel balanced force algorithm for level set methods based on the recently proposed method by Francois et al. [M.M. Francois, S.J. Cummins, E.D. Dendy, D.B. Kothe, J.M. Sicilian, M.W. Williams, A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework, J. Comput. Phys. 213 (2006) 141-173] for volume of fluid methods on structured grids. To minimize spurious currents, a second order converging curvature evaluation technique for level set methods is presented. The results of several different test cases demonstrate the effectiveness of the proposed method, showing good mass conservation properties and second order converging spurious current magnitudes.