Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations
SIAM Journal on Numerical Analysis
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
A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
SIAM Journal on Scientific Computing
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A volume of fluid based method for fluid flows with phase change
Journal of Computational Physics
A remark on computing distance functions
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
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
Journal of Computational Physics
A partial differential equation approach to multidimensional extrapolation
Journal of Computational Physics
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
A Level Set Method for vaporizing two-phase flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
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
Hi-index | 31.46 |
This paper describes a finite-difference computational method suitable for the simulation of vapor-liquid (or gas-liquid) flows in which the dynamical effects of the vapor can be approximated by a time-dependent, spatially uniform pressure acting on the interface. In such flows it is not necessary to calculate the velocity and temperature fields in the vapor (or gas). This feature simplifies the solution of the problem and permits the computational effort to be focussed on the temperature field, upon which the interfacial mass flux is critically dependent. The interface is described by a level set method modified with a high-order ''subcell fix'' with excellent mass conservation properties. The use of irregular stencils is avoided by suitably extrapolating the velocity and temperature fields in the vapor region. Since the accurate computation of momentum effects does not require the same grid refinement as that of the temperature field, the velocity field is interpolated on a finer grid used for the temperature calculation. Several validation and grid refinement axi-symmetric tests are described which demonstrate the intended first-order time, second-order space accuracy of the method. As an illustration of the capabilities of the computational procedure, the growth and subsequent collapse of a laser-generated vapor bubble in a microtube are described.