A Linear-Elasticity Solver for Higher-Order Space-Time Mesh Deformation

Diosady, Laslo T ; Murman, Scott M

关键词: COMPUTATIONAL GRIDS;    FINITE ELEMENT METHOD;    ELASTIC PROPERTIES;    DEFORMATION;    SPACE-TIME FUNCTIONS;    BOUNDARIES;    DISPLACEMENT;   

RP-ID  :  ARC-E-DAA-TN50822

学科分类：数值分析

美国|英语

来源: NASA Technical Reports Server

【 摘 要 】

A linear-elasticity approach is presented for the generation of meshes appropriate for a higher-order space-time discontinuous finite-element method. The equations of linear-elasticity are discretized using a higher-order, spatially-continuous, finite-element method. Given an initial finite-element mesh, and a specified boundary displacement, we solve for the mesh displacements to obtain a higher-order curvilinear mesh. Alternatively, for moving-domain problems we use the linear-elasticity approach to solve for a temporally discontinuous mesh velocity on each time-slab and recover a continuous mesh deformation by integrating the velocity. The applicability of this methodology is presented for several benchmark test cases.