基于HLLC近似Riemann解的自由面流动数值模拟
发布时间：2019-03-11 18:31
【摘要】：对于自由面流动问题,发展了一种新的数值模拟方法.在该方法中,自由面的捕捉通过求解Level Set方程实现.该方程与流体力学控制方程耦合形成双曲系统方程,并采用人工压缩方法进行求解.为了提高计算的分辨率,发展了一种有限体积框架下的高阶WENO格式,并构造了基于HLLC近似Riemann算子的通量函数.对若干典型自由面流动问题进行了数值模拟,计算结果表明了该方法的有效性.
[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.
【作者单位】： 复旦大学航空航天系;
【基金】：国家自然科学基金(11172070)
【分类号】：O35
[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.
【作者单位】： 复旦大学航空航天系;
【基金】：国家自然科学基金(11172070)
【分类号】：O35
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