一类自适应运动网格的ALE方法

An Arbitrary Lagrangian-Eulerian Method with Adaptive Moving Mesh

从积分形式的二维Lagrange流体力学方程组出发,使用ENO高阶插值多项式,推广了四边形结构网格下的一阶有限体积格式,构造一类结构网格下的高精度有限体积格式.结合有效的守恒重映方法,发展一类高精度的ALE方法,并结合自适应运动网格技术,进行ALE方法的数值模拟,得到预期的效果.

A finite volume scheme is developed for Lagrangian equations in hydrodynamics. With ENO （essentially non-oscillatory） interpolating polynomials on structure grids, a high accurate finite volume scheme is constructed by modifying a first order finite volume scheme on rectangular meshes. Numerical experiments are made with an adaptive moving mesh and arbitrary Lagrangian-Eulerian method. It shows effectiveness of the method.