The hydrodynamics of aspherical planetary nebulae. I - Analytic evaluation of hydrodynamic difference schemes

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Finite Difference Theory, Hydrodynamic Equations, Planetary Nebulae, Stellar Envelopes, Stellar Winds, Diffusion Coefficient, Gray Scale, Red Giant Stars, Wave Equations

Scientific paper

The article begins a series devoted to the construction of numerical models of the hydrodynamic behavior of aspherical planetary nebulae. These models are based on the 'interacting-winds' picture of the formation of PN. A survey of the physics of the expected flow shows a formidable problem, because the outer wind can be hundreds of times slower and thousands of times denser than the inner wind. Such extreme circumstances require an extraordinarily cautious approach to the numerical solution of the relevant equations. The difficulties caused by these enormous discontinuities are discussed which are of a magnitude rarely encountered in other applications of numerical hydrocodes. A hydrodynamic code can be designed to deal with these problems, and first-order codes, such as particle-in-cell, are inadequate.

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