Numerical study of hybrid third order compact scheme for hyperbolic conservation laws. (February 2020)

• Record Type: Journal Article
• Authors: Wibisono, Indra; Yanuar, ; Kosasih, E.A.
• Is Part Of: Energy reports. Volume 6(2020)Supplement 2
• Page Start: 698
• Page End: 702
• Publication Date: 2020-02
• Subjects: WENO -- Hybrid numerical scheme -- Hyperbolic conservation laws -- Radius of curvature; Power resources -- Periodicals; Energy industries -- Periodicals; Power resources; Periodicals; Electronic journals; 621.04205
• DOI: 10.1016/j.egyr.2019.11.140
• Languages: English
• ISSNs: 2352-4847

Abstract

Abstract: In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes. This hybrid scheme primarily developed to reduce the computational time, but preserve the numerical accuracy. WENO-PZ3 is adopted to construct the physical flux in a small radius, and compact third-order TVD scheme otherwise. The numerical scheme is tested in quasi-one-dimensional Sod's shock tube problem. The results show that the hybrid schemes deliver 0.76 computational time ratios compared to the full WENO-PZ3 scheme and the numerical accuracy is maintained. We found that the radius of curvature is capable of detecting the discontinuous point, and the suitable radius of curvature to be categorized as the small radius is less than 0.025.