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Other TitleProposal for New Higher-Order Flux Quadrature Scheme for Finite-Volume Method
Author(jpn)玉置, 義治; 今村, 太郎
Author(eng)Tamaki, Yoshiharu; Imamura, Taro
Author Affiliation(jpn)東京大学; 東京大学
Author Affiliation(eng)The University of Tokyo; The University of Tokyo
Issue Date2015-03-25
Japan Aerospace Exploration Agency (JAXA)
Publication title宇宙航空研究開発機構特別資料: 第46回流体力学講演会/第32回航空宇宙数値シミュレーション技術シンポジウム論文集
JAXA special publication: Proceedings of the 46th Fluid Dynamics Conference / 32nd Aerospace Numerical Simulation Symposium
Start page93
End page98
Publication date2015-03-25
AbstractIn this paper, a new higher-order flux quadrature scheme for finite-volume methods (FVM) is proposed. The scheme is especially for unstructured Cartesian grids; therefore only the information (values and its spatial gradients) of the two cells which shares the face is used to calculate the flux. On the FVM, cell-averaged values are updated in each cell. The values are interpolated onto the cell-interface to calculate numerical flux, and then the flux is integrated over the cell-interface. The spatial accuracy of the entire scheme depends on the accuracy of both the variable interpolation and the flux quadrature. In the conventional flux quadrature, the flux evaluated at one point on each face of the cell is multiplied with the area of the face, but the accuracy is only second-order. In order to enhance the accuracy of the quadrature, at first, the error terms of the conventional scheme are clarified. The error term is represented with the variables and its gradient value along the face, thus can be calculated using the value of the both cell sharing the face. Adding this error term as a modifying flux to the conventional second-order integrated flux, the accuracy of quadrature is enhanced to fourth-order. The new scheme is implemented in the verification problems on Burgers and Euler equations on the FVM framework, and the results show fourth-order convergence correctly.
Description会議情報: 第46回流体力学講演会/第32回航空宇宙数値シミュレーション技術シンポジウム (2014年7月3日-4日. 弘前文化センター), 弘前市, 青森県
形態: カラー図版あり
Meeting Information: 46th Fluid Dynamics Conference / 32nd Aerospace Numerical Simulation Symposium (July 3-4, 2014. Hirosaki Bunka Center), Hirosaki, Aomori, Japan
Physical characteristics: Original contains color illustrations
Document TypeConference Paper
JAXA Category特別資料
NASA Subject CategoryFluid Mechanics and Thermodynamics
Report NoJAXA-SP-14-010

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