Li, Qijie, Omar, Syazana, Deng, Xi and Yokoi, Kensuke ![]() |
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Abstract
We propose a fully conservative and less oscillatory multi-moment scheme for the approximation of hyperbolic conservation laws. The proposed scheme (CIP-CSL3ENO) is based on two CIP-CSL3 schemes and the essentially non-oscillatory (ENO) scheme. In this paper, we also propose an ENO indicator for the multi-moment framework, which intentionally selects non-smooth stencil but can efficiently minimize numerical oscillations. The proposed scheme is validated through various benchmark problems and a comparison with an experiment of two droplets collision/separation. The CIP-CSL3ENO scheme shows approximately fourth-order accuracy for smooth solution, and captures discontinuities and smooth solutions simultaneously without numerical oscillations for solutions which include discontinuities. The numerical results of two droplets collision/separation (3D free surface flow simulation) show that the CIP-CSL3ENO scheme can be applied to various types of fluid problems not only compressible flow problems but also incompressible and 3D free surface flow problems.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Advanced Research Computing @ Cardiff (ARCCA) Engineering |
Subjects: | T Technology > TA Engineering (General). Civil engineering (General) |
Publisher: | Global Science Press |
ISSN: | 1815-2406 |
Date of First Compliant Deposit: | 30 January 2017 |
Date of Acceptance: | 31 January 2017 |
Last Modified: | 07 Nov 2023 03:01 |
URI: | https://orca.cardiff.ac.uk/id/eprint/97760 |
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