Title: Mesh Adaptation for Multiphysics Applications

Speaker: Glen Hansen, Idaho National Laboratory

Date/Time: Tuesday, January 23, 2007, 9:00 am – 10:00 am

Location: CSRI Building, Room 95 (Sandia NM)

Brief Abstract: This presentation will summarize some recent work in the area of solution-driven mesh refinement and adaptation to begin addressing requirements of multiphysics simulation within the Global Nuclear Energy Partnership (GNEP) Initiative. Specifically, this talk will summarize recent work in the areas of h- and r-adaptation supporting climate modeling and mesh generation for various computational physics applications.

This summary includes the use of the Laplace-Beltrami equations to support both r-refinement and the generation of quasi-conformal meshes in two- and three-dimensional applications. These equations allow the specification of mesh characteristics by using an approximate metric tensor. This metric prescribes the ultimate mesh state by forming, on an element-by-element basis, an ideal target element representation that is based upon the current mesh state. The use of a prescriptive target metric as a solution-dependent diffusion tensor in the Laplace-Beltrami solution procedure, results in the LBTM method. The proposed algorithm is an unstructured elliptic mesh generation method that is robust with respect to domains containing complex convex or concave boundaries. This overview discusses the mechanics of the LBTM method and its application to selected example problems.

CSRI POC: Scott Collis, (505) 284-1123