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"Numerical Methods for Solving Problems of Gravitational Gas Dynamics" G. Lazareva (ICMMG SBRAS) Abstract: The questions of development of the numerical algorithms and program packages for solution of 3D astrophysical problems are considered. The 3D problems under consideration are the problems of non-stationary dynamics of multi-component media. The main peculiarity of the packages being presented is the availability of the solution with no dependence on the parameters of the numerical scheme. The choice of algorithms is stipulated by the peculiarities of the astrophysical problems and the necessity of program parallelization for clusters and supercomputers. The results of simulation of early stages of planet formation are presented. The approaches to simulation of 3D dynamics of gas and dust components of protoplanetary disc are discussed. Special attention is paid to the simulation in three-dimensional hydrodynamics.
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