A universal solver for hyperbolic equations by cubic-polynomial interpolation II. Two- and three-dimensional solvers

✍ Scribed by T. Yabe; T. Ishikawa; P.Y. Wang; T. Aoki; Y. Kadota; F. Ikeda

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 592 KB
• Volume: 66
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(91)90072-s

✦ Synopsis

A new numerical method is proposed for multidimensional hyperbolic equations. The scheme uses a cubic spatial profile within grids, and is described in an explicit finite-difference form by assuming that both the physical quantity and its spatial derivative obey the master equation. The method gives a stable and less diffusive result than the old methods without any flux limiter. Extension to nonlinear equations with nonadvection terms is straightforward.