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A multi-resolution weighted compact nonlinear scheme for hyperbolic conservation laws.
- Source :
-
International Journal of Computational Fluid Dynamics . Mar2020, Vol. 34 Issue 3, p187-203. 17p. - Publication Year :
- 2020
-
Abstract
- A typical weighted compact nonlinear scheme (WCNS) uses a convex combination of several low-order polynomials approximated over selected candidate stencils of the same width, achieving non-oscillatory interpolation near discontinuities and high-order accuracy for smooth solutions. In this paper, we present a new multi-resolution fifth-order WCNS by making use of the information of polynomials on three nested central spatial sub-stencils having first-, third- and fifth-order accuracy, respectively. The new scheme is capable of obtaining high-order spatial interpolation in smooth regions, and it is characterised by the feature of gradually degrading from fifth-order down to first-order accuracy as large stencils deemed to be crossing strong discontinuities. The advantages of the present scheme include the superior resolution for high-wavenumber fluctuations and the flexibility of implementing different numerical flux functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10618562
- Volume :
- 34
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- International Journal of Computational Fluid Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 144283455
- Full Text :
- https://doi.org/10.1080/10618562.2020.1722807