✦ LIBER ✦

Implicit radiation hydrodynamics for 1D-problems

✍ Scribed by Ernst A. Dorfi

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 302 KB
Volume: 109
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00157-0

No coin nor oath required. For personal study only.

✦ Synopsis

A numerical method is reviewed and described in detail which allows an accurate solution of the equations of radiation hydrodynamics for one-dimensional spherical conÿgurations. Such problems occur in a large variety of astrophysical situations where the interaction of matter with radiation (and vice versa) plays an important role (e.g. stellar structure, stellar pulsations, star and planet formation, radiation driven winds, stellar explosions, etc.). The method relies on a conservative formulation of the physical equations and uses an adaptive grid to resolve and trace any steep features developing within the ow. Due to the wide temporal as well as spatial range of physical time scales the solution is advanced in time by an implicit discretization scheme resulting in a nonlinear system of algebraic equations which has to be solved by a Newton-Raphson procedure. A few examples concerning stellar pulsations of a class of luminous blue stars closes this article.

📜 SIMILAR VOLUMES

Fully implicit 1D radiation hydrodynamic

Fully implicit 1D radiation hydrodynamics: Validation and verification

✍ Karabi Ghosh; S.V.G. Menon 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 962 KB

A fully implicit finite difference scheme has been developed to solve the hydrodynamic equations coupled with radiation transport. Solution of the time-dependent radiation transport equation is obtained using the discrete ordinates method and the energy flow into the Lagrangian meshes as a result of

A fully second order implicit/explicit t

A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems

✍ Samet Y. Kadioglu; Dana A. Knoll 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 511 KB

We present a fully second order implicit/explicit time integration technique for solving hydrodynamics coupled with nonlinear heat conduction problems. The idea is to hybridize an implicit and an explicit discretization in such a way to achieve second order time convergent calculations. In this scop

An implicit difference method for temper

An implicit difference method for temperature determination in problems of radiation gas dynamics

✍ Yu.N. Kulikov; B.N. Chetverushkin 📂 Article 📅 1974 🏛 Elsevier Science ⚖ 784 KB

Iterative Implementation of an Implicit–

Iterative Implementation of an Implicit–Explicit Hybrid Scheme for Hydrodynamics

✍ Wenlong Dai; Paul R. Woodward 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 446 KB

are favored over their explicit counterparts for some problems, in which the time-step size necessary for procuring Iterative implementation of an implicit-explicit hybrid scheme for solving the Euler equations is described in this paper. The a required temporal accuracy may be significantly larger

A transformation for implicit extremal p

A transformation for implicit extremal problems

✍ U.E. Raitum 📂 Article 📅 1969 🏛 Elsevier Science ⚖ 619 KB

Manufactured solutions for the radiation

Manufactured solutions for the radiation-hydrodynamics equations

✍ Ryan G. McClarren; Robert B. Lowrie 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 505 KB

For the purposes of testing numerical methods, we develop two manufactured solutions to the P 1 radiation-hydrodynamics system. One solution is designed to test numerical methods in the equilibrium diffusion limit, while the other solution is valid in the streaming (small absorption) regime. We then