On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems
Abstract In the present work, the discontinuous Galerkin (DG) method is applied to linear elasticity for two-dimensional and three-dimensional settings. A locking-free element formulation based on reduced integration and physically-based hourglass stabilization (Q1SP) is coupled for the first time w...
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doaj-e969cce3348a4be09c5470cd59b7ff392020-11-25T02:16:44ZengSpringerOpenAdvanced Modeling and Simulation in Engineering Sciences2213-74672018-05-015111610.1186/s40323-018-0103-xOn the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problemsHamid Reza Bayat0Stephan Wulfinghoff1Steffen Kastian2Stefanie Reese3Institute of Applied Mechanics, RWTH Aachen UniversityInstitute of Applied Mechanics, RWTH Aachen UniversityInstitute of Applied Mechanics, RWTH Aachen UniversityInstitute of Applied Mechanics, RWTH Aachen UniversityAbstract In the present work, the discontinuous Galerkin (DG) method is applied to linear elasticity for two-dimensional and three-dimensional settings. A locking-free element formulation based on reduced integration and physically-based hourglass stabilization (Q1SP) is coupled for the first time with the DG framework. The incomplete interior penalty Galerkin method is chosen, being one example of different variations of DG methods. Several 2D and 3D typical benchmark problems of linear elasticity are investigated. A selection of numerical integration schemes for the boundary terms is presented, namely reduced and mixed integration schemes. The treatment of the surface terms by means of different rules of integration shows a significant influence on the performance of the resulting DG method in combination with the standard Q1 element. This intelligent treatment of the surface part leads to a DG variant with very good convergence properties.http://link.springer.com/article/10.1186/s40323-018-0103-xDiscontinuous GalerkinReduced integrationIncompressibilityLinear elasticity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hamid Reza Bayat Stephan Wulfinghoff Steffen Kastian Stefanie Reese |
spellingShingle |
Hamid Reza Bayat Stephan Wulfinghoff Steffen Kastian Stefanie Reese On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems Advanced Modeling and Simulation in Engineering Sciences Discontinuous Galerkin Reduced integration Incompressibility Linear elasticity |
author_facet |
Hamid Reza Bayat Stephan Wulfinghoff Steffen Kastian Stefanie Reese |
author_sort |
Hamid Reza Bayat |
title |
On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems |
title_short |
On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems |
title_full |
On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems |
title_fullStr |
On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems |
title_full_unstemmed |
On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems |
title_sort |
on the use of reduced integration in combination with discontinuous galerkin discretization: application to volumetric and shear locking problems |
publisher |
SpringerOpen |
series |
Advanced Modeling and Simulation in Engineering Sciences |
issn |
2213-7467 |
publishDate |
2018-05-01 |
description |
Abstract In the present work, the discontinuous Galerkin (DG) method is applied to linear elasticity for two-dimensional and three-dimensional settings. A locking-free element formulation based on reduced integration and physically-based hourglass stabilization (Q1SP) is coupled for the first time with the DG framework. The incomplete interior penalty Galerkin method is chosen, being one example of different variations of DG methods. Several 2D and 3D typical benchmark problems of linear elasticity are investigated. A selection of numerical integration schemes for the boundary terms is presented, namely reduced and mixed integration schemes. The treatment of the surface terms by means of different rules of integration shows a significant influence on the performance of the resulting DG method in combination with the standard Q1 element. This intelligent treatment of the surface part leads to a DG variant with very good convergence properties. |
topic |
Discontinuous Galerkin Reduced integration Incompressibility Linear elasticity |
url |
http://link.springer.com/article/10.1186/s40323-018-0103-x |
work_keys_str_mv |
AT hamidrezabayat ontheuseofreducedintegrationincombinationwithdiscontinuousgalerkindiscretizationapplicationtovolumetricandshearlockingproblems AT stephanwulfinghoff ontheuseofreducedintegrationincombinationwithdiscontinuousgalerkindiscretizationapplicationtovolumetricandshearlockingproblems AT steffenkastian ontheuseofreducedintegrationincombinationwithdiscontinuousgalerkindiscretizationapplicationtovolumetricandshearlockingproblems AT stefaniereese ontheuseofreducedintegrationincombinationwithdiscontinuousgalerkindiscretizationapplicationtovolumetricandshearlockingproblems |
_version_ |
1724889426514935808 |