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Exact and approximate boundary conditions at artificial boundaries

✍ Scribed by Georg Lill

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
664 KB
Volume
16
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The use of transformation methods for the derivation of boundary conditions at artificial boundaries had been initiated by Engquist and Majda [4. 5]. They considered the scalar wave equation and strictly hyperbolic systems. This has been extended by Gustafsson [11] to inhomogeneous conditions, by Hagstrom [15] to parabolic and Halpern et al. [17, 20] to incompletely parabolic systems. Here a systematic method is developed which unifies these approaches. Additionally, inhomogeneities with non‐compact support are taken into account. Exact and first‐order approximate boundary conditions for the compressible Navier–Stokes equations are presented.

📜 SIMILAR VOLUMES

Artificial boundary conditions for visco
Artificial boundary conditions for viscoelastic flows
✍ Sergueï A. Nazarov; Adélia Sequeira; Maria Specovius-Neugebauer; Juha H. Videman 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract The steady three‐dimensional exterior flow of a viscoelastic non‐Newtonian fluid is approximated by reducing the corresponding nonlinear elliptic–hyperbolic system to a bounded domain. On the truncation surface with a large radius __R__, nonlinear, local second‐order artificial boundary