The local discontinuous Galerkin method and component design integration for 3D elasticity

S. Siddharth; J. Carrero; Bernardo Cockburn; Kumar K Tamma; R. Kanapady

The local discontinuous Galerkin method and component design integration for 3D elasticity

S. Siddharth, J. Carrero, Bernardo Cockburn, Kumar K Tamma, R. Kanapady

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, the focus is on the developments towards a local discontinuous Galerkin (LDG) method for 3D elasticity and its application to contemporary practical engineering design. On the theoretical front, the definition of the numerical flux that guarantees stability of the method, based on the energy identity of elasticity, is presented. Among the practical advantages of the LDG method is its ability to handle non-congruent meshes which is a very useful feature for designing complex structures. We demostrate this advantage via results of the analysis of an armored vehicle's barrel-breech system. Optimal convergence rates of the method are shown via numerical experiments using a P1 approximation, for congruent as well as non-congruent meshes.

Original language	English (US)
Title of host publication	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages	492-494
Number of pages	3
State	Published - 2005
Event	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States Duration: Jun 14 2005 → Jun 17 2005

Publication series

Name	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Other

Other	3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Country/Territory	United States
City	Boston, MA
Period	6/14/05 → 6/17/05

Keywords

3D elasticity
Local discontinuous galerkin method
Non-congruent meshes

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The local discontinuous Galerkin method and component design integration for 3D elasticity. / Siddharth, S.; Carrero, J.; Cockburn, Bernardo et al.
3rd M.I.T. Conference on Computational Fluid and Solid Mechanics. 2005. p. 492-494 (3rd M.I.T. Conference on Computational Fluid and Solid Mechanics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Siddharth, S, Carrero, J, Cockburn, B, Tamma, KK & Kanapady, R 2005, The local discontinuous Galerkin method and component design integration for 3D elasticity. in 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics. 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics, pp. 492-494, 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics, Boston, MA, United States, 6/14/05.

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AB - In this paper, the focus is on the developments towards a local discontinuous Galerkin (LDG) method for 3D elasticity and its application to contemporary practical engineering design. On the theoretical front, the definition of the numerical flux that guarantees stability of the method, based on the energy identity of elasticity, is presented. Among the practical advantages of the LDG method is its ability to handle non-congruent meshes which is a very useful feature for designing complex structures. We demostrate this advantage via results of the analysis of an armored vehicle's barrel-breech system. Optimal convergence rates of the method are shown via numerical experiments using a P1 approximation, for congruent as well as non-congruent meshes.

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The local discontinuous Galerkin method and component design integration for 3D elasticity

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Keywords

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