WENOスキームを用いた界面捕獲法の改良(流体工学,流体機械)

概要

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The present study restructured a surface capturing method using the optimized WENO scheme for numerical simulations of free surface flows in order to decrease influences of numerical diffusion upon interfaces. Main modifications are as follows. The weight function in the optimized WENO scheme was modified in consideration of interface gradient. A compression parameter in the artificial compression method was modified to avoid over-compression in smooth regions and reduction of numerical accuracy. The method correcting the numerical flux on cell faces was restructured in order to suppress occurrence of non-physical volume fractions. The present surface capturing method was applied to two convective problems. Numerical diffusions are very low around discontinuous regions, and the present method can capture interfaces more sharply than the previous one proposed by the authors. The present method has good conservation property at the time of interface transport as well as the previous surface tracking methods and surface capturing methods. Therefore, the calculation accuracy was greatly improved.
一般社団法人日本機械学会の論文
2007-01-25