Abstract
A numerical 3D-model for investigation of non-stationary processes in a gravitating system with gas is created. The model is based on the solution of the Poisson equation for gravitational field, the Vlasov-Liouville equation for solids and equations of gas dynamics. For solution of the Poisson equation at each timestep an efficient iterational solver is created with extrapolation of the evolutionary prosesses under study. It provides fast convergence at high precision.
Discussed in detail are parallelisation technique and load balancing strategy. Given are the parameters of test computations that meet the requirements of the problem of protoplanetary disc simulation.
The present work was particularly supported by SB RAS integration project (grants 2 and 148), INCO-COPERNICUS program (grant 97-7120), RFBR (grants 99-07-90422 and 02-01-00864) and Federal Programme "Integration" (contract -0072/836)
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Kuksheva, E.A., Malyshkin, V.E., Nikitin, S.A., Snytnikov, A.V., Snytnikov, V.N., Vshivkov, V.A. (2003). Numerical Simulation of Self-Organisation in Gravitationally Unstable Media on Supercomputers. In: Malyshkin, V.E. (eds) Parallel Computing Technologies. PaCT 2003. Lecture Notes in Computer Science, vol 2763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45145-7_34
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DOI: https://doi.org/10.1007/978-3-540-45145-7_34
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