Computer Science – Numerical Analysis
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apjs...89..345m&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 89, no. 2, p. 345-359
Computer Science
Numerical Analysis
32
Cartesian Coordinates, Computerized Simulation, Gravitational Collapse, Hydrodynamics, Numerical Analysis, Protostars, Binary Stars, Fourier Transformation, Interpolation, Poisson Density Functions, Poisson Equation, Radiative Transfer, Thermal Shock
Scientific paper
In Boss & Myhill (1992) we described the derivation and testing of a spherical coordinate-based scheme for solving the hydrodynamic equations governing the gravitational collapse of nonisothermal, nonmagnetic, inviscid, radiative, three-dimensional protostellar clouds. Here we discuss a Cartesian coordinate-based scheme based on the same set of hydrodynamic equations. As with the spherical coorrdinate-based code, the Cartesian coordinate-based scheme employs explicit Eulerian methods which are both spatially and temporally second-order accurate. We begin by describing the hydrodynamic equations in Cartesian coordinates and the numerical methods used in this particular code. Following Finn & Hawley (1989), we pay special attention to the proper implementations of high-order accuracy, finite difference methods. We evaluate the ability of the Cartesian scheme to handle shock propagation problems, and through convergence testing, we show that the code is indeed second-order accurate. To compare the Cartesian scheme discussed here with the spherical coordinate-based scheme discussed in Boss & Myhill (1992), the two codes are used to calculate the standard isothermal collapse test case described by Bodenheimer & Boss (1981). We find that with the improved codes, the intermediate bar-configuration found previously disappears, and the cloud fragments directly into a binary protostellar system. Finally, we present the results from both codes of a new test for nonisothermal protostellar collapse.
Boss Alan P.
Myhill Elizabeth A.
No associations
LandOfFree
Protostellar hydrodynamics: Constructing and testing a spacially and temporally second-order accurate method. 2: Cartesian coordinates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Protostellar hydrodynamics: Constructing and testing a spacially and temporally second-order accurate method. 2: Cartesian coordinates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Protostellar hydrodynamics: Constructing and testing a spacially and temporally second-order accurate method. 2: Cartesian coordinates will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-785570