Second-order-accurate radiative hydrodynamics and multidimensional protostellar collapse
✍ Scribed by Alan P. Boss; Elizabeth A. Myhill
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 466 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
A second-order-accurate numerical scheme for computing the radiative hydrodynamics of three-dimensional, collapsing protostellar clouds has been developed and implemented in both spherical and cartesian coordinates. The scheme employs spatially second-order-accurate advective fluxes based on van Leer monotonic interpolation and consistent advection. The advective fluxes also contain the terms necessary to make the scheme temporally second-order-accurate in the presence of spatially and temporally varying velocity fields. A predictor-corrector treatment of the source terms completes the requirements for second-order accuracy in time. The Poisson equation for the gravitational potential is solved by either a spherical harmonic expansion or a Green's function method. Radiative transfer in the Eddington approximation is handled through the solution of a mean intensity equation. The numerical scheme has been shown to be second-order-accurate through convergence testing and has been shown to improve the performance on a shock propagation problem compared to schemes that do not contain the spatially and temporally second-order-accurate terms.