On the impact of triangle shapes for boundary layer problems using high-order finite element discretization

The impact of triangle shapes, including angle sizes and aspect ratios, on accuracy and stiffness is investigated for simulations of highly anisotropic problems. The results indicate that for high-order discretizations, large angles do not have an adverse impact on solution accuracy. However, a corr...

Full description

Bibliographic Details
Main Authors: Sun, Huafei (Contributor), Darmofal, David L. (Contributor), Haimes, Robert (Contributor)
Other Authors: Massachusetts Institute of Technology. Aerospace Computational Design Laboratory (Contributor), Massachusetts Institute of Technology. Department of Aeronautics and Astronautics (Contributor)
Format: Article
Language:English
Published: Elsevier, 2016-02-25T02:14:27Z.
Subjects:
Online Access:Get fulltext
LEADER 01710 am a22002413u 4500
001 101266
042 |a dc 
100 1 0 |a Sun, Huafei  |e author 
100 1 0 |a Massachusetts Institute of Technology. Aerospace Computational Design Laboratory  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Department of Aeronautics and Astronautics  |e contributor 
100 1 0 |a Sun, Huafei  |e contributor 
100 1 0 |a Darmofal, David L.  |e contributor 
100 1 0 |a Haimes, Robert  |e contributor 
700 1 0 |a Darmofal, David L.  |e author 
700 1 0 |a Haimes, Robert  |e author 
245 0 0 |a On the impact of triangle shapes for boundary layer problems using high-order finite element discretization 
260 |b Elsevier,   |c 2016-02-25T02:14:27Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/101266 
520 |a The impact of triangle shapes, including angle sizes and aspect ratios, on accuracy and stiffness is investigated for simulations of highly anisotropic problems. The results indicate that for high-order discretizations, large angles do not have an adverse impact on solution accuracy. However, a correct aspect ratio is critical for accuracy for both linear and high-order discretizations. Large angles are also found to be not problematic for the conditioning of the linear systems arising from the discretizations. Further, when choosing preconditioning strategies, coupling strengths among elements rather than element angle sizes should be taken into account. With an appropriate preconditioner, solutions on meshes with and without large angles can be achieved within a comparable time. 
520 |a Boeing Company 
546 |a en_US 
655 7 |a Article 
773 |t Journal of Computational Physics