Changes between Version 35 and Version 36 of u/EricasLibrary
 Timestamp:
 03/11/13 11:18:32 (12 years ago)
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u/EricasLibrary
v35 v36 2 2 '''AMR''' 3 3 4 4 [[CollapsibleStart(Truelove, Klein, Mc Kee, et al. (‘98))]] 5 5 6 6 [http://iopscience.iop.org/0004637X/495/2/821/pdf/36882.pdf SelfGravitational hydrodynamics with 3d AMR: methodolgy and applications to molecular cloud collapse and fragmentation.] 7 7 8 8 9 10 9 === Summary === 10 Develops methods for AMR, dynamic grids that allot finer resolution over many length scales that is imperative for studying problems of gravitational collapse. The criteria for refinement is crucial, and it is the jeans condition. This sets the resolution smaller than the local Jean’s condition, allowing new benchmarks in the probing of the dynamics. They find uniformly rotating spherical clouds to collapse along the equatorial plane. When perturbed, these form ‘filamentary singularties’ that don’t fragment when isothermal. 11 11 12 13 12 === Methodology === 13 This paper goes through in extensive detail on the 3 components of their code methodology: the hyperbolic solvers that employ the Gudonov method for solution of the hydro equations, elliptic solvers that utilize AMR multigrid method to solve Poisson’s equation, and finally these two methods operation within an AMR framework. The use of stencils as different layers of cellcentered quantities used for averaging the node centered quantities (for self  gravity) is detailed. Paper refers to Almgren for discussion on AMR multigrid cycle procedures. 14 14 15 15 === AMR and refinement criteria ===