Stability of split-form flux-reconstruction schemes for airfoil flow simulation with high-order mesh

T. Watanabe; Y. Abe; T. Haga; R. Takaki; A. Oyama; T. Nonomura; K. Miyaji

Stability of split-form flux-reconstruction schemes for airfoil flow simulation with high-order mesh

T. Watanabe, Y. Abe, T. Haga, R. Takaki, A. Oyama, T. Nonomura, K. Miyaji

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper discusses numerical stability of the split-form FR scheme for a practical flow simulation involving wall boundary condition and high-order curved mesh, i.e., laminar flow simulation of the NACA0012 airfoil. Numerical stability of FR schemes in divergence form and FR schemes in split form is compared by investigating the allowable maximum time step width. The results show that the computation using the split-form FR schemes is stable whereas the computation using the divergence-form FR schemes blow up in the most conditions. This study also shows that the FR scheme in divergence form with the eighth-order solution approximation on a GP4 mesh works well for a practical flow simulation.

Original language	English
Publication status	Published - 2018
Event	10th International Conference on Computational Fluid Dynamics, ICCFD 2018 - Barcelona, Spain Duration: 2018 Jul 9 → 2018 Jul 13

Conference

Conference	10th International Conference on Computational Fluid Dynamics, ICCFD 2018
Country	Spain
City	Barcelona
Period	18/7/9 → 18/7/13

Keywords

Flux Reconstruction Scheme
High-Order Scheme
Numerical Stability

ASJC Scopus subject areas

Fluid Flow and Transfer Processes

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Stability of split-form flux-reconstruction schemes for airfoil flow simulation with high-order mesh. / Watanabe, T.; Abe, Y.; Haga, T.; Takaki, R.; Oyama, A.; Nonomura, T.; Miyaji, K.

2018. Paper presented at 10th International Conference on Computational Fluid Dynamics, ICCFD 2018, Barcelona, Spain.

Research output: Contribution to conference › Paper › peer-review

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title = "Stability of split-form flux-reconstruction schemes for airfoil flow simulation with high-order mesh",

abstract = "This paper discusses numerical stability of the split-form FR scheme for a practical flow simulation involving wall boundary condition and high-order curved mesh, i.e., laminar flow simulation of the NACA0012 airfoil. Numerical stability of FR schemes in divergence form and FR schemes in split form is compared by investigating the allowable maximum time step width. The results show that the computation using the split-form FR schemes is stable whereas the computation using the divergence-form FR schemes blow up in the most conditions. This study also shows that the FR scheme in divergence form with the eighth-order solution approximation on a GP4 mesh works well for a practical flow simulation.",

keywords = "Flux Reconstruction Scheme, High-Order Scheme, Numerical Stability",

author = "T. Watanabe and Y. Abe and T. Haga and R. Takaki and A. Oyama and T. Nonomura and K. Miyaji",

note = "Publisher Copyright: {\textcopyright} ICCFD 2018. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 10th International Conference on Computational Fluid Dynamics, ICCFD 2018 ; Conference date: 09-07-2018 Through 13-07-2018",

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TY - CONF

T1 - Stability of split-form flux-reconstruction schemes for airfoil flow simulation with high-order mesh

AU - Watanabe, T.

AU - Abe, Y.

AU - Haga, T.

AU - Takaki, R.

AU - Oyama, A.

AU - Nonomura, T.

AU - Miyaji, K.

PY - 2018

Y1 - 2018

N2 - This paper discusses numerical stability of the split-form FR scheme for a practical flow simulation involving wall boundary condition and high-order curved mesh, i.e., laminar flow simulation of the NACA0012 airfoil. Numerical stability of FR schemes in divergence form and FR schemes in split form is compared by investigating the allowable maximum time step width. The results show that the computation using the split-form FR schemes is stable whereas the computation using the divergence-form FR schemes blow up in the most conditions. This study also shows that the FR scheme in divergence form with the eighth-order solution approximation on a GP4 mesh works well for a practical flow simulation.

AB - This paper discusses numerical stability of the split-form FR scheme for a practical flow simulation involving wall boundary condition and high-order curved mesh, i.e., laminar flow simulation of the NACA0012 airfoil. Numerical stability of FR schemes in divergence form and FR schemes in split form is compared by investigating the allowable maximum time step width. The results show that the computation using the split-form FR schemes is stable whereas the computation using the divergence-form FR schemes blow up in the most conditions. This study also shows that the FR scheme in divergence form with the eighth-order solution approximation on a GP4 mesh works well for a practical flow simulation.

KW - Flux Reconstruction Scheme

KW - High-Order Scheme

KW - Numerical Stability

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