A new hybrid velocity integration method applied to elastic wave propagation
A new hybrid velocity integration method applied to elastic wave propagation
复制标题
一种应用于弹性波传播的新型混合速度积分方法
DOI：
10.1002/nme.2167
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发表时间：
2008
影响因子：
2.9
通讯作者：
S. Diebels
中科院分区：
文献类型：
--
作者：
Zhiyun Chen;H. Steeb;S. Diebels
提出了一种求解二阶时间相关问题的时空伽辽金方法。通过隐式地引入位移-速度关系，将控制方程组重新表述为速度场中存在未知数的一阶单场问题。所得到的方程依次由时间不连续的伽辽金方法求解。j .号码。分析的。冰毒。Geomech。2006;30:1113-1134)，其中时间间隔之间的连续性被特殊的逆风通量处理弱地加强。求解未知速度方程后，在后处理步骤中后验计算位移场量。数值算例验证了该方法的有效性和可靠性。给出了关于h -和p -细化和不同离散化技术的收敛性研究。版权所有©2007 John Wiley & Sons， Ltd
We present a novel space–time Galerkin method for solutions of second‐order time‐dependent problems. By introducing the displacement–velocity relationship implicitly, the governing set of equations is reformulated into a first‐order single field problem with the unknowns in the velocity field. The resulting equation is in turn solved by a time‐discontinuous Galerkin approach (Int. J. Numer. Anal. Meth. Geomech. 2006; 30:1113–1134), in which the continuity between time intervals is weakly enforced by a special upwind flux treatment. After solving the equation for the unknown velocities, the displacement field quantities are computed a posteriori in a post‐processing step. Various numerical examples demonstrate the efficiency and reliability of the proposed method. Convergence studies with respect to the h‐ and p‐refinement and different discretization techniques are given. Copyright © 2007 John Wiley & Sons, Ltd.