Numerical Simulation Of Fluid Interface Instabilities Using Ghost FLuid Method

The disturbed interface of a heavy fluid and a light fluid will loss the stability and two fluids will mix turbulently, when the interface is in the gravitational field whose direction is from the heavy fluid to the light fluid or it interacts with a shock wave. We call the instability caused by shock wave the Ritchmyer-Meshkov instability (we abbreviate it R-M instability) and the instability caused by gravity the Rayleigh-Taylor instability (abbreviate it R-T instability). Recently the R-T and R-M instabilities have attracted the attention of many researchers all over the world for its important role in the controlled nuclear fusion with inertial confinement (ICF), electromagnetic implosion and the evolution of an astrophysical object such as the formation of a supernova. The key point in the research of the instability is how to capture exactly the movement of the contact interface. In this paper, we developed a new kind of interface capturing method which use the level set equation to keep track of the interface location as the zero level and use the ghost fluid method to propagate the contact interface disturbed by R-M instability or R-T instability. The new interface capturing method has the features of simply implementation and maintenance of the sharp resolution of the contact interface.