A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids - Archive ouverte HAL
Article Dans Une Revue Communications in Computational Physics Année : 2020

A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

Zhen-Hua Jiang
  • Fonction : Auteur
Feng Xiao
  • Fonction : Auteur
Chao Yan
  • Fonction : Auteur
Jian Yu
  • Fonction : Auteur

Résumé

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 THING (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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Dates et versions

hal-02960145 , version 1 (07-10-2020)

Identifiants

Citer

Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu. A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids. Communications in Computational Physics, 2020, 28 (4), pp.1609-1638. ⟨10.4208/cicp.OA-2019-0091⟩. ⟨hal-02960145⟩
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