Efficient dimension-by-dimension higher order finite-volume methods for a Cartesian grid with cell-based refinement

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• 作者：Yoshiharu Tamaki ; ^{ytamaki@g.ecc.u-tokyo.ac.jp} ; Taro Imamura
• 关键词：Higher-order scheme ; Finite-volume method ; Cartesian grid
• 刊名：Computers & Fluids
• 出版年：2017
• 出版时间：2 February 2017
• 年：2017
• 卷：144
• 期：Complete
• 页码：74-85
• 全文大小：1905 K
• 卷排序：144

文摘

High-order FVM is developed for Cartesian grids with cell-based refinement. The quadrature modification flux eliminates multi-point flux quadrature. The scheme retains second-order accuracy near hanging-nodes. The formulation is defined by only the values stored in face-left and right cells. The scheme reproduces higher resolution than the conventional scheme.