Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Local simulation of two-phase flows including interface tracking with mass transfer
Journal of Computational Physics
A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
A volume of fluid based method for fluid flows with phase change
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
A boundary condition capturing method for incompressible flame discontinuities
Journal of Computational Physics
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A partial differential equation approach to multidimensional extrapolation
Journal of Computational Physics
Stability of approximate projection methods on cell-centered grids
Journal of Computational Physics
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
Direct numerical simulation of evaporating droplets
Journal of Computational Physics
Journal of Computational Physics
Numerical simulation of premixed combustion using an enriched finite element method
Journal of Computational Physics
Sharp interface immersed-boundary/level-set method for wave-body interactions
Journal of Computational Physics
Journal of Scientific Computing
A level set method for vapor bubble dynamics
Journal of Computational Physics
Journal of Computational Physics
A ghost fluid method for compressible reacting flows with phase change
Journal of Computational Physics
Journal of Scientific Computing
A sharp-interface phase change model for a mass-conservative interface tracking method
Journal of Computational Physics
Benchmarks and numerical methods for the simulation of boiling flows
Journal of Computational Physics
Segmentation of Stochastic Images using Level Set Propagation with Uncertain Speed
Journal of Mathematical Imaging and Vision
Hi-index | 31.50 |
In this paper, we describe a sharp interface capturing method for the study of incompressible multiphase flows with phase change. We use the level set method to keep track of the interface between the two phases and a ghost fluid approach to impose the jump conditions at the interface. This work builds on the work of Gibou et al. for the study of Stefan problems [F. Gibou, R. Fedkiw, L.-T. Cheng, M. Kang, A second-order-accurate symmetric discretization of the Poisson equation on irregular domains, J. Comput. Phys. 176 (2002) 205-227] and the work of Nguyen et al. for the simulation of incompressible flames [D. Nguyen, R. Fedkiw, M. Kang, A boundary condition capturing method for incompressible flame discontinuities, J. Comput. Phys. 172 (2001) 71-98]. We compare our numerical results to exact solutions in one spatial dimension and apply this algorithm to the simulation of film boiling in two spatial dimensions.