Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Three-dimensional adaptive mesh refinement for hyperbolic conservation laws
SIAM Journal on Scientific Computing
A projection method for locally refined grids
Journal of Computational Physics
Journal of Computational Physics
An Adaptive Mesh Projection Method for Viscous Incompressible Flow
SIAM Journal on Scientific Computing
Journal of Computational Physics
A projection method for low speed flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Journal of Computational Physics
A second order primitive preconditioner for solving all speed multi-phase flows
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
A Level Set-Boundary Element Method for the Simulation of Underwater Bubble Dynamics
SIAM Journal on Scientific Computing
A method for avoiding the acoustic time step restriction in compressible flow
Journal of Computational Physics
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Hi-index | 31.46 |
Adaptive solution techniques are presented for simulating underwater explosions and implosions. The liquid is assumed to be an adiabatic fluid and the solution in the gas is assumed to be uniform in space. The solution in water is integrated in time using a semi-implicit time discretization of the adiabatic Euler equations. Results are presented either using a non-conservative semi-implicit algorithm or a conservative semi-implicit algorithm. A semi-implicit algorithm allows one to compute with relatively large time steps compared to an explicit method. The interface solver is based on the coupled level set and volume-of-fluid method (CLSVOF) [M. Sussman, A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles, J. Comput. Phys. 187 (2003) 110-136; M. Sussman, E.G. Puckett, A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows, J. Comput. Phys. 162 (2000) 301-337]. Several underwater explosion and implosion test cases are presented to show the performances of our proposed techniques.