【摘要】：對(duì)于自由面流動(dòng)問題,發(fā)展了一種新的數(shù)值模擬方法.在該方法中,自由面的捕捉通過求解Level Set方程實(shí)現(xiàn).該方程與流體力學(xué)控制方程耦合形成雙曲系統(tǒng)方程,并采用人工壓縮方法進(jìn)行求解.為了提高計(jì)算的分辨率,發(fā)展了一種有限體積框架下的高階WENO格式,并構(gòu)造了基于HLLC近似Riemann算子的通量函數(shù).對(duì)若干典型自由面流動(dòng)問題進(jìn)行了數(shù)值模擬,計(jì)算結(jié)果表明了該方法的有效性.
[Abstract]:A new numerical simulation method for free surface flow is developed. In this method, the capture of the free surface is realized by solving the Level Set equation. The equation is coupled with the governing equation of fluid dynamics to form a hyperbolic system equation, which is solved by artificial compression method. In order to improve the computational resolution, a high-order WENO scheme in finite volume frame is developed, and the flux function based on the HLLC approximation Riemann operator is constructed. Numerical simulations of some typical free surface flow problems are carried out, and the numerical results show the effectiveness of the proposed method.
【作者單位】： 復(fù)旦大學(xué)航空航天系;
【基金】：國(guó)家自然科學(xué)基金(11172070)
【分類號(hào)】：O35

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本文編號(hào)：2438510