Overset meshing coupled with hybridizable discontinuous Galerkin finite elements

Kauffman, Justin A.; Sheldon, Jason P.; Miller, Scott T.

doi:10.1002/nme.5512

Overset meshing coupled with hybridizable discontinuous Galerkin finite elements

Journal Article · Wed Mar 01 00:00:00 EST 2017 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.5512· OSTI ID:1399894

^[1]; Sheldon, Jason P. ^[2]; Miller, Scott T. ^[3]

Pennsylvania State Univ., University Park, PA (United States). Applied Research Lab.; Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Pennsylvania State Univ., University Park, PA (United States). Applied Research Lab.
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

We introduce the use of hybridizable discontinuous Galerkin (HDG) finite element methods on overlapping (overset) meshes. Overset mesh methods are advantageous for solving problems on complex geometrical domains. We also combine geometric flexibility of overset methods with the advantages of HDG methods: arbitrarily high-order accuracy, reduced size of the global discrete problem, and the ability to solve elliptic, parabolic, and/or hyperbolic problems with a unified form of discretization. This approach to developing the ‘overset HDG’ method is to couple the global solution from one mesh to the local solution on the overset mesh. We present numerical examples for steady convection–diffusion and static elasticity problems. The examples demonstrate optimal order convergence in all primal fields for an arbitrary amount of overlap of the underlying meshes.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA).

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1399894

Report Number(s):: SAND2016--0713J; 643547

Journal Information:: International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 5 Vol. 112; ISSN 0029-5981

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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