2004/01/09 by Peter H. Hauschildt, E. Baron · 2 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Advanced Fluorescence Microscopy Techniques #Applied mathematics #Chemistry #Diffusion #Discretization #Fluid Dynamics and Turbulent Flows #Mathematical analysis #Mathematics #Meteorological Phenomena and Simulations #Numerical analysis #Numerical stability #Operator (biology) #Optics #Physics #Quantum mechanics #Radiative transfer #Scheme (mathematics) #Term (time) #Wavelength #astro-ph
paper · pdf · doi:10.1051/0004-6361:20034473
published as Astron.Astrophys. 417 (2004) 317-324 · 9 pages, 9 figures, A&A, in press
arxiv created 2004/01/09 · openalex publication_date 2004/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe two separate wavelength discretization schemes that can be used in the numerical solution of the comoving frame radiative transfer equation. We present an improved second order discretization scheme and show that it leads to significantly less numerical diffusion than the previous scheme. We also show that due to the nature of the second order term in some extreme cases it can become numerically unstable. We stabilize the scheme by introducing a mixed discretization scheme and present the results from several test calculations.