A Newton-Raphson approach for nonlinear diffusion equations in radiation hydrodynamics.

Details A Newton-Raphson approach for nonlinear diffusion equations in radiation hydrodynamics. A Newton-Raphson approach for nonlinear diffusion equations in radiation hydrodynamics.

Oct 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jqsrt..54..655d&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 54, issue 4, pp. 655-669

Computer Science

3

Radiative Transfer: Diffusion, Radiative Transfer: Hydrodynamics

Scientific paper

Numerical solutions of radiative transfer problems via a flux-limited diffusion equation coupled with the material energy balance equation are in general characterized by a standard explicit treatment of all the nonlinearities. An increase in accuracy has been recently obtained by analyzing the rate of convergence of a fully implicit treatment. In this paper a complete Newton-Raphson linearization algorithm at each time step is investigated. Numerical results are presented for radiation penetration into a cold slab driven by a constant incident surface intensity.

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