Acoustic waves in the solar atmosphere. IV - On the efficiency of one-dimensional hydrodynamic codes

Details Acoustic waves in the solar atmosphere. IV - On the efficiency of one-dimensional hydrodynamic codes Acoustic waves in the solar atmosphere. IV - On the efficiency of one-dimensional hydrodynamic codes

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....65..273h&link_type=abstract

Astronomy and Astrophysics, vol. 65, no. 2, Apr. 1978, p. 273-277.

Astronomy and Astrophysics

Astrophysics

8

Hydrodynamics, Ion Acoustic Waves, Mathematical Models, Solar Atmosphere, Astronomical Models, Atmospheric Models, Chromosphere, Finite Difference Theory, Fortran, Gravitational Effects, Viscosity

Scientific paper

Various forms of modified characteristics methods (MCM) are compared with the leapfrog type finite difference method (FDM) for accuracy and efficiency in modelling acoustic waves in the solar atmosphere. Hydrodynamic codes are computed with FORTRAN IV software for all the methods discussed. Also considered is the case of a sinusoidal piston with gravity, as well as nonhydrodynamic criteria for the computation of acoustic waves. Results indicate that the MCM, with its three interpolations (by quadratic- and weighted quadratic parabolas, and by natural cubic spline functions) offers, in general, a slower but more accurate method of calculation than does the FDM. It is noted, however, that the FDM and the quadratic parabola interpolation of the MCM differ only to the extent that the former method requires a pseudoviscosity and a greater number of timesteps. The overall preferred method is the MCM with natural cubic spline interpolation.

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