流固耦合方程组间断Galerkin方法的探索

Exploration of discontinuous Galerkin method for fluid solid coupled equations

主要通过对复杂接触表面问题以及流固耦合方程组中边界间断问题的分析,探讨其间断Galerkin方法的有限元计算.保留有限元线性离散的计算优势,有效地弱化了边界间断对流场中速度的影响,得到流固耦合方程组的空间半离散有限元格式,为数值计算提供了有力的理论支撑.

In this paper,through the complex contact interface and fluid solid cou-pled equations of the boundary discontinuity analysis,the discontinuous Galerkin method in the finite element calculation is explored.The method keeps finite element computational advantages of linear discretization,effectively avoids the boundary discontinuity effects on the velocity.The space semidiscrete finite ele-ment scheme of the fluid solid coupled equations is derived for numerical calcula-tions to provide strong support in theory.