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A 3rd order ENO-like multi-moment method for solving hyperbolic conservation laws

Omar, Syazana and Yokoi, Kensuke ORCID: 2016. A 3rd order ENO-like multi-moment method for solving hyperbolic conservation laws. Presented at: 24th Conference of the Association for Computational Mechanics in Engineering, Cardiff, UK, 31 March - 1 April 2016.

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We propose a conservative multi-moment method based on 3rd order polynomial interpolation functions and the essentially non-oscillatory (ENO) scheme. Based on CIP-CSL3, the proposed method employs two multi-moment based 3rd order polynomial interpolation functions; CIP-CSL3D where three constraints are used in the upwind cell with one constraint in the downwind cell-centre, and a new, complementary method CIP-CSL3U, which uses a constraint in the upwind cell-centre instead. Based on the ENO (Essentially Non-Oscillatory) scheme, either CSL3D or CSL3U is chosen using a local smoothness indicator. Numerical results from common benchmark tests in one dimension (both linear and non-linear) show that this scheme maintains 4th order accuracy for smooth profiles while successfully reducing numerical oscillation around discontinuity without giving way to numerical diffusion. Its competitive results show that this is a promising highorder method for CFD applications given its algorithmic simplicity, and can be extended for multi-dimensions.

Item Type: Conference or Workshop Item (Paper)
Status: Unpublished
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Last Modified: 01 Nov 2022 10:01

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