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
Computations of multi-fluid flows
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
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
SIAM Journal on Scientific Computing
Semi-Lagrangian methods for level set equations
Journal of Computational Physics
Tree methods for moving interfaces
Journal of Computational Physics
Fast tree-based redistancing for level set computations
Journal of Computational Physics
Numerical treatment of polar coordinate singularities
Journal of Computational Physics
A fast modular semi-Lagrangian method for moving interfaces
Journal of Computational Physics
Journal of Computational Physics
A remark on computing distance functions
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation
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
Journal of Computational Physics
A Simple Scheme for Volume-Preserving Motion by Mean Curvature
Journal of Scientific Computing
A Discontinuous Spectral Element Method for the Level Set Equation
Journal of Scientific Computing
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
Journal of Computational Physics
A coupled quadrilateral grid level set projection method applied to ink jet simulation
Journal of Computational Physics
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
Adaptive tetrahedral meshing in free-surface flow
Journal of Computational Physics
Journal of Computational Physics
A conservative level set method for two phase flow
Journal of Computational Physics
A semi-Lagrangian contouring method for fluid simulation
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
ACM SIGGRAPH 2006 Papers
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Journal of Computational Physics
A Level Set Method for vaporizing two-phase flows
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
A conservative level set method for two phase flow II
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
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
Short Note: Analytical and geometrical tools for 3D volume of fluid methods in general grids
Journal of Computational Physics
An Improved Sharp Interface Method for Viscoelastic and Viscous Two-Phase Flows
Journal of Scientific Computing
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
Journal of Scientific Computing
Journal of Computational Physics
A spectrally refined interface approach for simulating multiphase flows
Journal of Computational Physics
Adaptive moment-of-fluid method
Journal of Computational Physics
A grid based particle method for moving interface problems
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Journal of Computational Physics
A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow
SIAM Journal on Scientific Computing
A parallelized, adaptive algorithm for multiphase flows in general geometries
Computers and Structures
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
Journal of Computational Physics
An unconditionally stable fully conservative semi-Lagrangian method
Journal of Computational Physics
A local level-set method using a hash table data structure
Journal of Computational Physics
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
Journal of Scientific Computing
Hi-index | 31.45 |
A second-order hybrid level set-volume constraint method (HLSVC) for numerically simulating deforming boundaries is presented. We combine the HLSVC interface advection algorithm with a two phase flow solver in order to numerically capture deforming bubbles and drops whose actual volume (s) fluctuate about fixed ''target'' volume (s). Three novel developments are described: (1) a new method for enforcing a volume constraint in which the number of bubbles and drops can change due to merging or splitting, (2) a new, second order, semi-lagrangian narrow band level set reinitialization algorithm, and (3) validation of a two-phase flow numerical method by comparison with linear stability analysis results for a co-flowing liquid jet in gas. The new interface capturing method is tested on benchmark problems in which the velocity is prescribed (passive advection of interfaces) and in which the velocity is determined by the incompressible Navier-Stokes equations for two-phase flow. The error in interface position when using the hybrid level set-volume constraint method is reported for many benchmark problems in polar coordinates, cylindrical coordinates, and on an adaptive grid in which one criteria of adaptivity is the magnitude of the interface curvature.