Li, Qijie, Omar, Syazana, Deng, Xi and Yokoi, Kensuke  ORCID: https://orcid.org/0000-0001-7914-6050
2017.
Constrained interpolation profile conservative semi-Lagrangian scheme based on third-order polynomial functions and essentially non-oscillatory (CIP-CSL3ENO) scheme.
Communications in Computational Physics
22
(3)
, pp. 765-788.
10.4208/cicp.OA-2016-0117
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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 |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Professional Services > Advanced Research Computing @ Cardiff (ARCCA) Schools > 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: | 28 Nov 2024 12:45 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/97760 |
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