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

T. Yabe, T. Ishikawa, P.Y. Wang, T. Aoki, Y. Kadota, F. Ikeda

doi:10.1016/0010-4655(91)90072-s

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

DOI Web Site Web Site 被引用文献67件

書誌事項

公開日: 1991-09

権利情報

https://www.elsevier.com/tdm/userlicense/1.0/

DOI

10.1016/0010-4655(91)90072-s

公開者: Elsevier BV

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説明

Abstract 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.