Toy Model of Shock Flow

V.A. Malyshev, S. V. Malyshev

2022, v.28, Issue 3, 477-488


We consider one-dimensional flow of point particles
towards the wall. The only interaction between neighboring particles
are elastic collisions. We consider the limiting transition to continuum
mechanics, when number of particles tends to infinity and the distance
between neighboring particles tends to zero. We show that, as a result
of the shock, the sharp break appears between regions with initial
and double initial densities.

Keywords: micro-macro continuum mechanics, shock flow, cellular automata, point particles, collisions


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