We study the numerical solution to two-phase problems using a four-equations model. In particular we focus the present study on HLLC numerical flux approximation and its extensions. These numerical methods are tested on expansion tube cases with a final goal of constructing higher order hybrid numerical tool for solving the problem of bubble collapsing by a shock wave.

1.
E.
Goncalves
and
D.
Zeidan
, “
Simulation of Compressible Two-Phase Flows Using a Void Ratio Transport Equation
”,
Commun. Comput. Phys.
,
24
(
1
), pp.
167
203
, (
2018
).
2.
B.
Leer
, “
Upwind and high-resolution methods for compressible flow: from donor cell to residual-distribution schemes
”,
16th AIAA Computational Fluid Dynamics Conference
, (
2003
).
3.
P.
Colella
,
P.R.
Woodward
, “
The piecewise parabolic method (PPM) for gas-dynamical simulations
”,
Journal of Computational Physics
,
54
(
1
), pp.
174
1984
, (
1984
).
This content is only available via PDF.
You do not currently have access to this content.