発散型の対流項を用いた保存形有限要素法スキーム(流体工学,流体機械)

概要

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There are some formulations of the convection term in the Navier-Stokes equation, for example gradient form, divergence form, skew-symmetric form and rotational form. These formulations aren't equal to each other in our calculations because the continuity equation isn't completely satisfied. As a result, the numerical results by each formulation are different. In the present paper, we discuss the numerical accuracy of the different formulation of the convection term discretized by finite element method. The numerical models are the rid-driven flows in a square and a cubic cavity and the turbulent channel flow using Large Eddy Simulation. Turbulent model is the Smagorinsky model. Their results show that the divergence form is better one in terms of the numerical accuracy and the conservative property.
一般社団法人日本機械学会の論文
2002-02-25