四面体有限要素を用いた並列ＬＥＳ解析　第１報　　実用問題における圧力損失精度評価

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  • Parallel Large Eddy Simulation Technique using Tetrahedral Finite-Element. 1st Report. Accuracy Evaluation for Pressure-Loss Prediction in a Realistic Problem.
  • 4メンタイ ユウゲン ヨウソ オ モチイタ ヘイレツ LES カイセキ ダイ1ポウ ジツヨウ モンダイ ニ オケル アツリョク ソンシツ セイド ヒョウカ

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This paper presents a parallel LES technique for viscous incompressible flow based on the finite-element method using tetrahedral elements. A new algorithm based on the SIMPLER method is proposed, in which the BTD technique is inrtoduced to ensure the stability of computation and the Crank-Nicholson method is used as a time integration scheme to improve the accuracy. The Smagorinsky model is applied to approximate the Reynolds stress term. Two types of parallelization techniques are applied in the present scheme. One is mesh partitioning by the finite elements to carry out the element-based calculations. The other is row-based domain decomposition of the global matrix to solve the linear equations. Estimates of parallel computing performance show good scalability on the Hitachi SR 2201. The code was verified by simulating the turbulent wake of a circular cylinder at Re=10, 000 and was applied to predict the pressure-loss of the airflow for the cooling of a turbine generator. Numerical results show good agreement with the experimental results and the computational results using the hexahedral finite-elements.

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