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| Paper: |
Semi-Lagrangian Implicit Integrations in SPH modeling:
A Model for the Accretion Disc in a Microquasar |
| Volume: |
459, 6th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2011) |
| Page: |
99 |
| Authors: |
Lanzafame, G. |
| Abstract: |
Courant–Friedrichs–Lewy (CFL) condition on the time step progression Δ tCFL heavily limits explicit integration techniques in fluid
dynamics. CPU time consuming Eulerian implicit integration techniques perform stable computational fluid dynamics, paying the price of a small
inaccuracy in calculations, without suffering such a strict temporal limitation. We present an effective way to perform Free Lagrangian Smooth
Particle Hydrodynamics (SPH) implicit integrations without any Jacobian matrix inversion operation. Application to a SPH accretion disc simulation
around a massive black hole (MBH) in a binary stellar system is shown, together with a comparison to the same result obtained according to the
traditional explicit integration techniques. A 1D critical test is also discussed to check the validity of the new technique. |
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