S0502-3-3 エントロピック格子ボルツマンモデルを用いた正方角柱周りの2次元チャネル流れの解析 : 計算効率改善に関する一検討([S0502-3]噴流,後流および剥離流れ現象の解明と制御(3))

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The Entropic Lattice Boltzmann Method (ELBM) which can get stable solution by satisfying the second principle of the thermodynamic by imposing the monotonicity and the minimality of the H-function is developed recently. In the algorithm of ELBM non-linear equation must be solved to calculate relaxation adjusting parameter. However using of the iteration methods causes the increasing of computational effort for parallel computing due to the load imbalance which is occurred by the differences of iteration number on each grid point. In this study, we suggest the two kinds of approximation methods based on Taylor series expansion which do not use iteration method and compared the results with those of Newton-Raphson method for the channel flow past a square cylinder. It was found that the results using our methods is agree with those using Newton-Raphson method and can decrease the computational time even in single computation.
2010-09-04