A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids
Year: 2020
Author: Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
Communications in Computational Physics, Vol. 28 (2020), Iss. 4 : pp. 1609–1638
Abstract
A higher order interpolation scheme based on a multi-stage BVD (Boundary Variation Diminishing) algorithm is developed for the FV (Finite Volume) method on non-uniform, curvilinear structured grids to simulate the compressible turbulent flows. The designed scheme utilizes two types of candidate interpolants including a higher order linear-weight polynomial as high as eleven and a THINC (Tangent of Hyperbola for INterface Capturing) function with the adaptive steepness. We investigate not only the accuracy but also the efficiency of the methodology through the cost efficiency analysis in comparison with well-designed mapped WENO (Weighted Essentially Non-Oscillatory) scheme. Numerical experimentation including benchmark broadband turbulence problem as well as real-life wall-bounded turbulent flows has been carried out to demonstrate the potential implementation of the present higher order interpolation scheme especially in the ILES (Implicit Large Eddy Simulation) of compressible turbulence.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0091
Communications in Computational Physics, Vol. 28 (2020), Iss. 4 : pp. 1609–1638
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Higher order interpolation BVD scheme finite volume method ILES compressible turbulence simulation.