Constrained Interpolation Profile Conservative Semi-Lagrangian Scheme Based on Third-Order Polynomial Functions and Essentially Non-Oscillatory (CIP-CSL3ENO) Scheme. (6th July 2017)

• Record Type: Journal Article
• Authors: Li, Qijie; Omar, Syazana; Deng, Xi; Yokoi, Kensuke
• Is Part Of: Communications in computational physics. Volume 22:Number 3(2017:Sep.)
• Page Start: 765
• Page End: 788
• Publication Date: 2017-07-06
• Subjects: 35L65, -- 65M06, -- 65M08, -- 76T10; CIP-CSL scheme, -- ENO scheme, -- conservation laws, -- free surface flows; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0117
• Languages: English
• ISSNs: 1815-2406

Abstract

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 multimoment 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.