Development of CIP-Reversed Weighted Residual Method for Water Flow with Free Water Surface and Arbitrary Topography : Algorithmic Improvements and Applications(<Special Issue>CIP)

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概要

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• A new numerical method for solving a flow with a free water surface and an arbitrary topography is described. The method is based on the constrained interpolation profile (CIP) scheme and the finite-element method (FEM). Although advection terms are accurately solved using the conventional CIP scheme, nonadvection terms are solved by FEM. To solve nonadvection terms, the reversed weighted residual method (RWRM) based on FEM is proposed. Using the RWRM, surface boundary conditions can be imposed on an arbitrarily curved water surface appropriately even if a simple Cartesian mesh system is employed and the surface is not fitted to the boundaries of a computational mesh. Furthermore, in this paper, an algorithmic improvement in the pressure acceleration phase is proposed. By using the improved numerical procedure, the computational cost due to a matrix-solution can be reduced efficiently. The improved CIP-RWRM solver is applied to 2-D solutions to examine its efficiency and accuracy. The computational results show good agreements with the results calculated by other numerical methods for a multiphase flow.

• 一般社団法人日本機械学会の論文
• 2004-11-15

著者

• Kudo K

  Division Of Mechanical Science Graduate School Of Engineering Hokkaido University

• Kudo Kentaro

  Institute Of Environmental Informatics Metocean Environmental Inc.

• Ishikawa Tadaharu

  Department Of Environmental Science And Engineering Tokyo Institute Of Technology

• Ishikawa Tadaharu

  Department Of Environmental Physics And Engineering Tokyo Institute Of Technology

• Nakamura Takashi

  Department Of Cardiology Saiseikai Shiga Hospital

• 中村 恭志

  Department of Electrical and Electronics Engineering, Utsunomiya University

• 工藤 健太郎

  Department of Environmental Science and Engineering, Tokyo Institute of Technology

• 石川 忠晴

  Institute of Environmental Informatics, Metocean Environmental Inc.

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