@Article{CiCP-28-4,
author = {Zhen-Hua, Jiang and Xi, Deng and Xiao, Feng and Yan, Chao and Yu, Jian},
title = {A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {4},
pages = {1609--1638},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0091},
url = {https://global-sci.com/article/79733/a-higher-order-interpolation-scheme-of-finite-volume-method-for-compressible-flow-on-curvilinear-grids}
}