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The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flowsWe describe a time-explicit finite-difference algorithm for solving the nonlinear fluid equations. The method is similar to existing Eulerian schemes in its use of operator-splitting and artificial viscosity, except that we solve the Lagrangian equations of motion with a predictor-corrector and then remap onto a fixed Eulerian grid. The remap is formulated to eliminate errors associated with coordinate singularities, with a general prescription for remaps of arbitrary order. We perform a comprehensive series of tests on standard problems. Self-convergence tests show that the code has a second-order rate of convergence in smooth, two-dimensional flow, with pressure forces, gravity, and curvilinear geometry included. While not as accurate on idealized problems as high-order Riemann-solving schemes, the predictor-corrector Lagrangian-remap code has great flexibility for application to a variety of astrophysical problems.
Document ID
19940033879
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Lufkin, Eric A.
(Alabama Univ. Tuscaloosa; Virginia Univ., Charlottesville, United States)
Hawley, John F.
(Virginia Univ. Charlottesville, United States)
Date Acquired
August 16, 2013
Publication Date
October 1, 1993
Publication Information
Publication: Astrophysical Journal Supplement Series
Volume: 88
Issue: 2
ISSN: 0067-0049
Subject Category
Astrophysics
Accession Number
94A10534
Funding Number(s)
CONTRACT_GRANT: NAGW-2376
CONTRACT_GRANT: NAGW-1510
CONTRACT_GRANT: NSF AST-89-19180
CONTRACT_GRANT: NSF PHY-90-18251
Distribution Limits
Public
Copyright
Other

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