An efficient numerical method developed recently in Russia for calculations of dilute particle phase flow fields in two-phase gas-particle flows is presented in this paper. The method is based on the full Lagrangian approach (FLA) to the description of the regular motion of the particle phase. The collisionless “gas” of particles is treated as a continuum for which all basic equations, namely, the continuity equation, the momentum equation and the energy equation are written in the Lagrangian coordinates. The traditional Lagrangian approach (LA) widely used in the West does not deal with the explicit form of the continuity equation for the particle phase, and this is the key difference between FLA and LA. The FLA-method has some advantages over the traditional Lagrangian technique. Examples of numerical calculations of two-phase flows with a complex particle phase flow structure illustrate this method.

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