Computational engineering analysis with the new-generation space–time methods
Computational engineering analysis with the new-generation space–time methods
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DOI：
10.1007/s00466-014-0999-z
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发表时间：
2014-03
影响因子：
4.1
通讯作者：
K. Takizawa
中科院分区：
文献类型：
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作者：
K. Takizawa
本文概述了我们采用时空(ST)方法解决和分析不同类别具有计算挑战性的工程问题的新方向。我们关注的问题类别包括受生物启发的扑翼空气动力学、风力涡轮机空气动力学和心血管流体力学。ST方法的新发展方向包括变分多尺度变形-空间域/稳定化ST方法，用NURBS基函数在时间上表示未知变量以及固体表面和流体网格的运动，在时间上连续表示的ST技术，以及具有拓扑变化的ST界面跟踪。我们描述了新的方向并提供了解决的具有挑战性的问题的例子。
This is an overview of the new directions we have taken the space–time (ST) methods in bringing solution and analysis to different classes of computationally challenging engineering problems. The classes of problems we have focused on include bio-inspired flapping-wing aerodynamics, wind-turbine aerodynamics, and cardiovascular fluid mechanics. The new directions for the ST methods include the variational multiscale version of the Deforming-Spatial-Domain/Stabilized ST method, using NURBS basis functions in temporal representation of the unknown variables and motion of the solid surfaces and fluid meshes, ST techniques with continuous representation in time, and ST interface-tracking with topology change. We describe the new directions and present examples of the challenging problems solved.