RKDG有限元方法计算流体与刚体耦合

Discontinuous Galerkin method and computation of fluid-rigid interaction

摘要: 用Level set方法配合Runge-Kutta discontinuous Galerkin (RKDG)有限元方法求解流体与刚体耦合问题。用RKDG有限元方法求解欧拉方程，通过求解Level set方程对界面进行追踪，并用推广的Ghost fluid方法对流刚界面进行处理。数值实验表明,该方法具有较高的分辨率。由于该方法不需要对移动网格进行处理，因此可以处理任意形状的拓扑问题，并且很容易推广到三维。
- 流体力学 /
- 流刚耦合 /
- Ghost fluid方法 /
- 间断Galerkin法 /
- Level set方法
Abstract: Rigid and fluid interaction problems are solved by the level set method with the RKDG method. The system of the Eluer equations are solved by the RKDG method while the level set equation which describes the motion of the interface are solved by high-resolution WENO finite difference scheme. The extended ghost fluid method is used to deal with the solid and fluid boundary. Numerical tests on two dimensional flow are carried ou and satisfactory results are obtained. This method can be extended to three dimensional questions since no mesh modification is needed.
- fluid mechanics /
- rigid and fluid interaction /
- ghost fluid method /
- discontinuous Galerkin method /
- level set method