An efficient implicit high-order flux reconstruction method by automatic differentiation using operator overloading for flow simulation on unstructured hexahedral grids

Bo Xi Lin, Liang Zhang, Shu Sheng Chen, Bing Li, Zhen Hua Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An efficient implicit high-order flux reconstruction/correction procedure via reconstruction method (FR/CPR) is developed to solve the compressible Navier-Stokes equation on unstructured hexahedral grids. The convergence rate of the proposed solver is greatly improved compared to Lower-upper Symmetry Gauss Seidel (LU-SGS) method. The restart GMRES (restarted Generalized Minimal Residual) is used to tackle the linear system by FR/CPR temporal and spatial discretization, and an automatic differential (AD) by operator overloading is proposed to construct the Jacobian matrix of the discretization system. The effects of automatic differential on the convergence rate of the developed implicit scheme have been investigated. Inviscid and viscous test cases are performed to evaluate the performance of the developed implicit solver.

Original languageEnglish
Title of host publication2019 IEEE 10th International Conference on Mechanical and Aerospace Engineering, ICMAE 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages164-170
Number of pages7
ISBN (Electronic)9781728155357
DOIs
StatePublished - Jul 2019
Externally publishedYes
Event10th IEEE International Conference on Mechanical and Aerospace Engineering, ICMAE 2019 - Brussels, Belgium
Duration: 22 Jul 201925 Jul 2019

Publication series

Name2019 IEEE 10th International Conference on Mechanical and Aerospace Engineering, ICMAE 2019

Conference

Conference10th IEEE International Conference on Mechanical and Aerospace Engineering, ICMAE 2019
Country/TerritoryBelgium
CityBrussels
Period22/07/1925/07/19

Keywords

  • Automatic Differential
  • Compressible Navier-Stokes
  • Flux Reconstruction/Correction Procedure via Reconstruction
  • High-Order Methods
  • Implicit Methods
  • Operator Overloading

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