Abstract
Selected finite element Eulerian-Lagrangian methods for the solution of the transport equation are compared systematically in the relatively simple context of 1D, constant coefficient, conservative problems. A combination of formal analysis and numerical experimentation is used to characterize the stability and accuracy that results from alternative treatments of the concentrations at the feet of the characteristic lines. Within the methods analyzed, those that approach such treatment with the perspective of "integration' rather than "interpolation' tend to have superior accuracy. -from Authors
| Original language | English (US) |
|---|---|
| Pages (from-to) | 183-204 |
| Number of pages | 22 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 21 |
| Issue number | 3 |
| State | Published - 1995 |
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ASJC Scopus subject areas
- Computational Theory and Mathematics
- Computer Science Applications
- Computational Mechanics
- Mechanics of Materials
- Safety, Risk, Reliability and Quality
- Applied Mathematics
- Condensed Matter Physics
Cite this
A comparison of integration and interpolation Eulerian-Lagrangian methods. / Oliveira, A.; Baptista, Antonio.
In: International Journal for Numerical Methods in Fluids, Vol. 21, No. 3, 1995, p. 183-204.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A comparison of integration and interpolation Eulerian-Lagrangian methods
AU - Oliveira, A.
AU - Baptista, Antonio
PY - 1995
Y1 - 1995
N2 - Selected finite element Eulerian-Lagrangian methods for the solution of the transport equation are compared systematically in the relatively simple context of 1D, constant coefficient, conservative problems. A combination of formal analysis and numerical experimentation is used to characterize the stability and accuracy that results from alternative treatments of the concentrations at the feet of the characteristic lines. Within the methods analyzed, those that approach such treatment with the perspective of "integration' rather than "interpolation' tend to have superior accuracy. -from Authors
AB - Selected finite element Eulerian-Lagrangian methods for the solution of the transport equation are compared systematically in the relatively simple context of 1D, constant coefficient, conservative problems. A combination of formal analysis and numerical experimentation is used to characterize the stability and accuracy that results from alternative treatments of the concentrations at the feet of the characteristic lines. Within the methods analyzed, those that approach such treatment with the perspective of "integration' rather than "interpolation' tend to have superior accuracy. -from Authors
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UR - http://www.scopus.com/inward/citedby.url?scp=0029412892&partnerID=8YFLogxK
M3 - Article
VL - 21
SP - 183
EP - 204
JO - International Journal for Numerical Methods in Fluids
JF - International Journal for Numerical Methods in Fluids
SN - 0271-2091
IS - 3
ER -