Simulations of short pulse laser-matter interaction

Studies of ultra-fast laser-matter interaction are important for many applications. Such interaction triggers extreme physical processes which are localized in the range from $\sim 10$ nanometers to micron spatial scales and developing within picosecond$-$nanosecond time range. Thus the experimental observations are difficult and methods of applied mathematics are necessary to understand these processes. Here we describe our simulation approaches and present solutions for a laser problem significant for applications. Namely, the processes of melting, a liquid jet formation, and its rupture are considered. Motion with the jet is caused by a short $\sim 0.1-1$ ps pulse illuminating a small spot on a surface of a thin $\sim 10-100$ nm film deposited onto substrate.