A NEW NUMERICAL METHOD FOR A 2-D NON-LINEAR SHALLOW WATER EQUATION SATISFAYING BOUNDARY CONDITIONS ON ARBITRARY TOPOGRAPHY AND WATER SURFACE

DOI DOI Web Site Web Site 30 References

Bibliographic Information

Other Title
  • 境界条件を計算領域内部に設定する流体運動計算手法の開発
  • Development of CIP Reversed Weighted Residual Method for Water Flow with Free Water Surface and Arbitrary Topography Algorithmic Improvements and Applications

Search this article

Abstract

A new scheme of numerical simulation for a flow with a free water surface is proposed. First, a technique of weight residual method using “reversed weight function” is presented, with which physical condition such as “pressure is constant at a surface” can be set inside the computational domain. As a result, flow with a free water surface on a complicated topography can be simulated on a coarse grid system, which contains the surface and the bottom of water inside. Then, the theory is formulated for FEM with rectangular regular grid system, and a demonstration is made for 2-D waves in a tank with a bottom undulation. The simulation result shows a good agreement with that from CCUP method though the grid of the former is far coarser than the latter's.

Journal

References(30)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top