Solving anisotropic transport equation on misaligned grids

J. Chen; S. O. Jardin; H. R. Strauss

doi:10.1007/11428862_176

Solving anisotropic transport equation on misaligned grids

J. Chen, S. O. Jardin, H. R. Strauss

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

Triangular 3rd order Lagrange elements have been implemented previously to study the numerical error associated with grid misalignment. It has previously been found that grid misalignment strongly affects numerical accuracy in the case of linear elements. The same conclusion was obtained by higher order finite difference. Here we observe that this is also true for higher order finite elements, up to 3rd order, when the solution has a steep gradient. Three types of meshes are considered. Type t1 has one element edge fully aligned with the strong transport direction; type t2 doesn't have any alignment with that direction; type t0 is a combination of t1 and t2, i.e., partial alignment.

Original language	English (US)
Pages (from-to)	1076-1079
Number of pages	4
Journal	LECTURE NOTES IN COMPUTER SCIENCE
Volume	3516
Issue number	III
DOIs	https://doi.org/10.1007/11428862_176
State	Published - 2005
Event	5th International Conference on Computational Science - ICCS 2005 - Atlanta, GA, United States Duration: May 22 2005 → May 25 2005

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

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10.1007/11428862_176

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title = "Solving anisotropic transport equation on misaligned grids",

abstract = "Triangular 3rd order Lagrange elements have been implemented previously to study the numerical error associated with grid misalignment. It has previously been found that grid misalignment strongly affects numerical accuracy in the case of linear elements. The same conclusion was obtained by higher order finite difference. Here we observe that this is also true for higher order finite elements, up to 3rd order, when the solution has a steep gradient. Three types of meshes are considered. Type t1 has one element edge fully aligned with the strong transport direction; type t2 doesn't have any alignment with that direction; type t0 is a combination of t1 and t2, i.e., partial alignment.",

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T1 - Solving anisotropic transport equation on misaligned grids

AU - Chen, J.

AU - Jardin, S. O.

AU - Strauss, H. R.

PY - 2005

Y1 - 2005

N2 - Triangular 3rd order Lagrange elements have been implemented previously to study the numerical error associated with grid misalignment. It has previously been found that grid misalignment strongly affects numerical accuracy in the case of linear elements. The same conclusion was obtained by higher order finite difference. Here we observe that this is also true for higher order finite elements, up to 3rd order, when the solution has a steep gradient. Three types of meshes are considered. Type t1 has one element edge fully aligned with the strong transport direction; type t2 doesn't have any alignment with that direction; type t0 is a combination of t1 and t2, i.e., partial alignment.

AB - Triangular 3rd order Lagrange elements have been implemented previously to study the numerical error associated with grid misalignment. It has previously been found that grid misalignment strongly affects numerical accuracy in the case of linear elements. The same conclusion was obtained by higher order finite difference. Here we observe that this is also true for higher order finite elements, up to 3rd order, when the solution has a steep gradient. Three types of meshes are considered. Type t1 has one element edge fully aligned with the strong transport direction; type t2 doesn't have any alignment with that direction; type t0 is a combination of t1 and t2, i.e., partial alignment.

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U2 - 10.1007/11428862_176

DO - 10.1007/11428862_176

M3 - Conference article

AN - SCOPUS:25144507128

SN - 0302-9743

VL - 3516

SP - 1076

EP - 1079

JO - LECTURE NOTES IN COMPUTER SCIENCE

JF - LECTURE NOTES IN COMPUTER SCIENCE

IS - III

T2 - 5th International Conference on Computational Science - ICCS 2005

Y2 - 22 May 2005 through 25 May 2005

ER -

Solving anisotropic transport equation on misaligned grids

Abstract

All Science Journal Classification (ASJC) codes

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