Simple adaptive grids for 1-D initial value problems

Details Simple adaptive grids for 1-D initial value problems Simple adaptive grids for 1-D initial value problems

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jcoph..69..175d&link_type=abstract

Journal of Computational Physics (ISSN 0021-9991), vol. 69, March 1987, p. 175-195.

Statistics

Computation

135

Boundary Value Problems, Computational Grids, Finite Difference Theory, One Dimensional Flow, Shock Tubes, Astrophysics, Finite Element Method, Gas Dynamics, Partial Differential Equations

Scientific paper

Sod's (1978) shock tube problem, and a supernova explosion, are presently treated by the solution of their one-dimensional initial value problems, on the basis of implicit finite difference methods using simple adaptive grids that are constructed to furnish local regions of high resolution. In the case of the supernova calculation, for which the complete gridpoint evolution is presented, the entire calculation ran without intervention or carefully chosen parameters. It required 4000 time-steps, and took 40 min on a CRAY-1 supercomputer. The largest time-step was 10 to the -12th sec; the largest, 10 to the 11th sec.

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