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Circumstellar discs, from which planetary systems are formed, consist of gas,dust and solids. Simulations of self-consistent dynamics of gas, dust andsolids in circumstellar discs is a challenging problem. In the paper we presentfast algorithms for computing the drag force (momentum transfer) between solidphase and gas. These algorithms (a) are universal and applicable to dust andsolids with any sizes smaller than the mean free path of gas molecules, (b) canbe used to calculate the momentum transfer between dust and gas instead ofone-way effect, as it is done in many models, (c) can perform simulations,without a loss in accuracy, with the time step determined by gas-dynamicparameters rather than by drag force, and (d) are compatible with the widelyused parallel algorithms for solving 3D equations of gas dynamics, hydrodynamicequations for dust, and the collisionless Boltzmann equation for large bodies.Preliminary results of supercomputer simulation of the gas-dust disc dynamicswithin the developed approach are reported.

Development and application of fast methods for computing momentum transfer between gas and dust in supercomputer simulation of planet formation