Nonlinear spherical gravitational downfall of gas onto a solid ball: Analytic and numerical results

Nonlinear spherical gravitational downfall of gas onto a solid ball : Analytic and numerical results

The process of downfall of initially homogeneous gas onto a solid ball due to the ball's gravity (relevant in astrophysical situations) is studied with a combination of analytic and numerical methods. The initial explicit solution soon becomes discontinuous and gives rise to a shock wave. Afterwards, there is a crossover between two intermediate asymptotic similarity regimes, where the shock wave propagates outwards according to two self-similar laws, initially accelerating and eventually decelerating and vanishing, leading to a static state. The numerical study allows one to investigate in detail this dynamical problem and its time evolution, verifying and complementing the analytic results on the initial solution, intermediate self-similar laws and static long-term solution.

Zorzano, María PazCentro de Astrobiología, CSIC-INTA(Swepub:ltu)marzor (author)
Inst. de Matemat./Fis. Fundamental, CSICCentro de Astrobiología, CSIC-INTA (creator_code:org_t)

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