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Volume 28, Issue 4
A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan & Jian Yu

DOI: 10.4208/cicp.OA-2019-0091

Commun. Comput. Phys., 28 (2020), pp. 1609-1638.

Published online: 2020-08

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  • 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.

  • Keywords

Higher order interpolation, BVD scheme, finite volume method, ILES, compressible turbulence simulation.

  • AMS Subject Headings

35L65, 68U01, 76N06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-28-1609, author = {Jiang , Zhen-HuaDeng , XiXiao , FengYan , 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0091}, url = {http://global-sci.org/intro/article_detail/cicp/18190.html} }
TY - JOUR T1 - A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids AU - Jiang , Zhen-Hua AU - Deng , Xi AU - Xiao , Feng AU - Yan , Chao AU - Yu , Jian JO - Communications in Computational Physics VL - 4 SP - 1609 EP - 1638 PY - 2020 DA - 2020/08 SN - 28 DO - http://doi.org/10.4208/cicp.OA-2019-0091 UR - https://global-sci.org/intro/article_detail/cicp/18190.html KW - Higher order interpolation, BVD scheme, finite volume method, ILES, compressible turbulence simulation. AB -

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.

Jiang , Zhen-HuaDeng , XiXiao , FengYan , Chao and Yu , Jian. (2020). A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids. Communications in Computational Physics. 28 (4). 1609-1638. doi:10.4208/cicp.OA-2019-0091
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