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Paper: A Godunov-Type Solver for Gravitational Flows: Towards a Time-Implicit Version in the HERACLES Code
Volume: 488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013)
Page: 279
Authors: Vides, J.; Van Criekingen, S.; Audit, E.; Szydlarski, M.
Abstract: We study the Euler equations with gravitational source terms derived from a potential which satisfies Poisson's equation for gravity. An adequate treatment of the source terms is achieved by introducing their discretization into an approximate Riemann solver, relying on a relaxation strategy. The associated numerical scheme is then presented and its performance demonstrated. The new method provides a straightforward extension to multidimensions and is applied to different types of problems under gravitational influence, including a one dimensional hydrostatic atmosphere and a three-dimensional Rayleigh-Taylor instability. We show the first results for the implicit version of the scheme, essential for many applications of physical interest and implemented in the code HERACLES.
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