The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flows

Details The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flows The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flows

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apjs...88..569l&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 88, no. 2, p. 569-588.

Astronomy and Astrophysics

Astrophysics

8

Gas Dynamics, H Ii Regions, Molecular Clouds, Predictor-Corrector Methods, Stellar Winds, Two Dimensional Flow, Euler-Lagrange Equation, Finite Difference Theory, Galactic Evolution, Hydrodynamics

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flows 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 The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The piecewise-linear predictor-corrector code - A Lagrangian-remap method for astrophysical flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1325460