CAJ | 학술논문

构造可用于多介质流数值模拟的Runge?Kutta控制体积（ RKCV）间断有限元方法。对于多介质流模拟，使用线性和非线性的Riemann问题解法器计算界面处的数值流通量。该方法是一种高精度的数值方法且可以保证流体的局部守恒。数值结果表明，即使是利用线性Riemann问题解法器的计算格式也可获得较好的数值结果。与Runge?kutta间断Galerkin方法的比较展示了本文构造算法的优势。
구조가용우다개질류수치모의적Runge?Kutta공제체적（ RKCV）간단유한원방법。대우다개질류모의，사용선성화비선성적Riemann문제해법기계산계면처적수치류통량。해방법시일충고정도적수치방법차가이보증류체적국부수항。수치결과표명，즉사시이용선성Riemann문제해법기적계산격식야가획득교호적수치결과。여Runge?kutta간단Galerkin방법적비교전시료본문구조산법적우세。
Runge?Kutta control volume ( RKCV ) discontinuous finite element method for multi?medium fluid simulations is constructed. Linear and nonlinear Riemann solvers are used for numerical flux at fluid interfaces. The method preserves local conservation and high?resolution. Numerical results show that even with a linear Riemann solver the schemes works well. Comparisons with Runge?Kutta discontinuous Galerkin method show advantages of RKCV method.