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Titolo:
NUMERICAL MODELING OF MASS-TRANSPORT IN HYDROGEOLOGIC ENVIRONMENTS - PERFORMANCE COMPARISON OF THE LAPLACE TRANSFORM GALERKIN AND ARNOLDI MODAL REDUCTION SCHEMES
Autore:
FARRELL DA; WOODBURY AD; SUDICKY EA;
Indirizzi:
UNIV MANITOBA,DEPT CIVIL & GEOL ENGN WINNIPEG MB R3T 2N2 CANADA UNIV WATERLOO,WATERLOO CTR GROUNDWATER RES WATERLOO ON N2L 3G1 CANADA
Titolo Testata:
Advances in water resources
fascicolo: 3, volume: 21, anno: 1998,
pagine: 217 - 235
SICI:
0309-1708(1998)21:3<217:NMOMIH>2.0.ZU;2-D
Fonte:
ISI
Lingua:
ENG
Soggetto:
HETEROGENEOUS POROUS-MEDIA; NATURAL GRADIENT EXPERIMENT; SOLUTE TRANSPORT; SPATIAL VARIABILITY; GROUNDWATER-FLOW; SAND AQUIFER; SIMULATION; DISPERSION; UNCERTAINTY; INVERSION;
Keywords:
NUMERICAL MODELING; MASS TRANSPORT; LAPLACE TRANSFORM GALERKIN METHOD; ARNOLDI MODEL REDUCTION METHOD;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
39
Recensione:
Indirizzi per estratti:
Citazione:
D.A. Farrell et al., "NUMERICAL MODELING OF MASS-TRANSPORT IN HYDROGEOLOGIC ENVIRONMENTS - PERFORMANCE COMPARISON OF THE LAPLACE TRANSFORM GALERKIN AND ARNOLDI MODAL REDUCTION SCHEMES", Advances in water resources, 21(3), 1998, pp. 217-235

Abstract

The Laplace Transform Galerkin (LTG) method and the Arnoldi modal reduction method (AMRM) have been implemented in finite element schemes designed to solve mass transport problems in porous media by Sudicky [Sudicky, E.A., Water Resour. Res., 25(8) (1989) 1833-46] and Woodbury et al [Woodbury, A.D., Dunbar, W.S., & Nour-Omid, B., Water Resour. Res., 26(10) (1990) 2579-90]. In this work, a comparative analysis of thetwo methods is performed with attention focused on efficiency and accuracy. The analysis is performed over one- and two-dimensional domainscomposed of homogeneous and heterogeneous material properties. The results obtained using homogeneous material properties indicate that fora given mesh design the LTG method maintains a higher degree of accuracy than does the AMRM. However, in terms of efficiency, the Arnoldi attains a pre-defined level of accuracy faster than does the LTG method. It is also shown that for problems involving homogeneous material properties the solution obtained using the LTG method on a coarse mesh is comparable in terms of solution time and accuracy to that obtained using the AMRM on a fine mesh. Comparisons similar to those performed using homogeneous material properties are also performed for the case where the hydraulic conductivity field is heterogeneous. For this case,the level of accuracy achieved by the AMRM and the LTG method are similar. However, as with the analysis involving homogeneous material properties, the AMRM is found to be more efficient than the LTG method. It is also shown that for heterogeneous material properties, use of theLTG method under high grid Peclet conditions can be potentially problematic. Copyright (C) 1997 Elsevier Science Limited.

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Documento generato il 03/12/20 alle ore 06:10:09