Numerical simulations for radiation hydrodynamics. II: Transport limit
type: Item
instance of: scholarly article
title: Numerical simulations for radiation hydrodynamics. II: Transport limit
zbMATH Open document ID: 0941.76060
author: W. Wenlong Dai
author: Paul Woodward
published in: Journal of Computational Physics
publication date: 2000-06-04T00:00:00Z
review text: [For part I, see the authors, ibid. 142, No. 1, 182-207, Art. No. CP985940 (1998; Zbl 0933.76057).] From the summary: A finite difference scheme is proposed for two-dimensional radiation hydrodynamical equations in the transport limit. The scheme is of Godunov-type, in which the set of time-averaged flux needed in the scheme is calculated through Riemann problems. In the scheme, flow signals are explicitly treated, while radiation signals are treated implicitly. Flow fields and radiation fields are updated simultaneously. An iterative approach is proposed to solve the set of nonlinear algebraic equations arising from the implicitness of the scheme. The sweeping method used in the scheme significantly reduces the number of iterations or computer CPU time.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 1422637
zbMATH Keywords: Godunov-type scheme
zbMATH Keywords: implicit scheme
zbMATH Keywords: finite difference scheme
zbMATH Keywords: two-dimensional radiation hydrodynamical equations
zbMATH Keywords: transport limit
zbMATH Keywords: time-averaged flux
zbMATH Keywords: Riemann problems
zbMATH Keywords: flow signals
zbMATH Keywords: radiation signals
zbMATH Keywords: iterative approach
zbMATH Keywords: sweeping method
MaRDI profile type: Publication
full work available at URL: jcph.1999.6371
OpenAlex ID: W1971717630
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DOI: 10.1006/JCPH.1999.6371
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description: scientific article; zbMATH DE number 1422637