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

[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.

[发布日期] 2018-01-08

[学科分类] 数值分析

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