Model of The Dynamics of a Polydisperse Vapor–Droplet Mixture with Gas-Dynamical Fragmentation of Droplets

Fast method to simulate dynamics of two-phase medium with intense interaction between phases by smoothed particle hydrodynamics: Gas-dust mixture with polydisperse particles, linear drag, one-dimensional tests

“…satisfies ( 13)- (16). Therefore, in a small neighborhood of ( 19), the solutions of initial systems and the system linearized on ( 19) are expected to be close.…”

“…The result is a mathematical model of multifluid hydrodynamics. The examples of such models in engineering and astrophysics can be found in [15,16,17,18,19]. The main feature of this approach is that in every local volume the velocity of each fraction of the dispersed phase has a single value, and there is no particle trajectory crossing (PTC) inside of one fraction.…”

“…The remained two roots of the polynomial P(ω) ω N+1 and ω N+2 can be expressed through found roots by using Vieta's formula Equations (C. 16) and (C.17) are equivalent to the second-order polynomial equation, which has two complex conjugate roots. By virtue of (C.5), waves, which correspond to these roots, are dynamical and can damp.…”