A variationally consistent mesh adaptation method for triangular elements in explicit Lagrangian dynamics

作者：Lahiri Sudeep K; Bonet Javier^*; Peraire Jaume

来源：International Journal for Numerical Methods in Engineering, 2010, 82(9): 1073-1113.

DOI：10.1002/nme.2784

• variationally consistent
• mesh adaptation
• explicit
• space-time discretization
• triangular elements

In this paper a variational formulation for mesh adaptation procedures, involving local mesh changes for triangular meshes, is presented. Such local adaptive changes are very well suited for explicit methods as they do not involve significant computational expense. They also greatly simplify the projection of field variables from the old to the new meshes. Crucially, the variational nature of the formulation used to derive the equilibrium equations at steps where adaptation takes place ensures that conservation of linear and angular momentum is obtained (Int. J. Numer Meth. Engng 2000; 49:1295-1325). Several examples in 2-D showing the application of the proposed adaptive algorithms are used to demonstrate the validity of the methodology proposed.

• 出版日期2010-5-28