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Nonlinear spherical gravitational downfall of gas onto a solid ball: Analytic and numerical results
Inst. de Matemat./Fis. Fundamental, CSIC.
Centro de Astrobiología, CSIC-INTA.ORCID iD: 0000-0002-4492-9650
2003 (English)In: Physica D: Non-linear phenomena, ISSN 0167-2789, E-ISSN 1872-8022, Vol. 183, no 1-2, 102-116 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2003. Vol. 183, no 1-2, 102-116 p.
National Category
Aerospace Engineering
Research subject
Atmospheric science
Identifiers
URN: urn:nbn:se:ltu:diva-66702DOI: 10.1016/S0167-2789(03)00157-XScopus ID: 2-s2.0-0043014723OAI: oai:DiVA.org:ltu-66702DiVA: diva2:1159377
Available from: 2017-11-22 Created: 2017-11-22 Last updated: 2017-11-24Bibliographically approved

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Zorzano, María Paz
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