Fast transport simulation with an adaptive grid refinement

Ground Water

Volumn 41, Issue 2, 2003, Pages 273-279

  Haefner, Frieder ^a   Boy, Siegrun ^b  

^a TU BERGAKADEMIE FREIBERG   (Germany)

^b IBeWa Consulting   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ALGORITHMS; COMPUTER PROGRAMMING; COMPUTER SIMULATION; PROBLEM SOLVING;

TRANSPORT MODELING;

GROUNDWATER;

CALIBRATION; FLOW MODELING; GROUNDWATER;

ARTICLE; CALIBRATION; PARTICLE SIZE; REPRODUCIBILITY; THEORETICAL MODEL; WATER FLOW; WATER SUPPLY;

CALIBRATION; MODELS, THEORETICAL; PARTICLE SIZE; REPRODUCIBILITY OF RESULTS; WATER MOVEMENTS; WATER SUPPLY;

GADUS MORHUA;

EID: 0037370529     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2003.tb02590.x     Document Type: Article

References (23)

1. Bastian, P. 1992. Locally refined solution of unsymmetric and nonlinear problems. In Proceedings of the Eighth GAMM Seminar. Kiel, Germany: GAMM.
2. Bastian, P., K. Birken, K. Eckstein, K. Johannsen, S. Lang, N. Neuss, and H. Rentz-Reichert. 1997. UG: A flexible software toolbox for solving partial differential equations. Computing and Visualization in Sciences 1, no. 1: 27-40.
3. Ciment, M., and R.A. Sweet. 1973. Mesh refinement for parabolic equations. Journal of Computer Physics 12, 513-525.
4. Haefner, F., S. Boy, S. Wagner, A. Behr, V. Piskarev, I. Zakirov, and B. Palatnik. 1996. New Front Limitation algorithm: Fast finite difference method for the advection-dispersion problem and parameter identification. In Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, ed. J. Gottlieb and P. DuChateau. Dordrecht, The Netherlands: Kluwer Academic Press.
5. Heinemann, Z.E., G. Gerken, and G. von Hantelmann. 1983. Using local grid refinement in a multiple application reservoir simulator. Paper SPE 12255, presented at the Seventh SPE Symposium on Reservoir Simulation, San Francisco.
6. Heinemann, Z.E., and C.W. Brand. 1989. Modeling reservoir geometry with irregular grids. Paper SPE 18412, presented at the 10th SPE Symposium on Reservoir Simulation, Houston.
7. Heinrich, B. 1987. Finite Difference Methods on Irregular Networks. Basel, Switzerland: Birkhauser.
8. Johannsen, K., W. Kinzelbach, S. Oswald, and G. Wittum. 2002. Numerical simulation of density driven flow in porous media. Advanced Water Resources 25, 335-348.
9. Kinzelbach, W., and R. Rausch. 1995. Grundwassermodellierung: Einführung mit Übungen. Berlin: Gebr. Borntraeger.
10. LeBlanc, D.R., S.P. Garabedian, K.M. Hess, L.W. Gelhar, R.D. Quadri, K.G. Stollenwerk, and W.W. Wood. 1991. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 1. Experimental design and observed tracer movement. Water Resources Research 27, no. 5: 895-910.
11. LeBlanc, D.R., and M.A. Celia. 1996. Numerical simulation of downward movement of solutes during a natural-gradient tracer test in sand and gravel, Cape Cod, Massachusetts. U.S. Geological Survey Toxic Substances Hydrology Program, Proceedings of the Technical Meeting, Colorado Springs, Colorado, September 20-24, 1993; ed. D.W. Morganwalp and D.A. Aronson, 283-287. USGS Water Resources. Investigation Report 94-4015.
12. McCormick, S.F. 1989. Multilevel adaptive methods for partial differential equations. Frontiers in Applied Mathematics 6.
13. McDonald, M.G., and A.W. Harbaugh. 1988. A modular three-dimensional finite-difference ground-water flow model. U.S. Geological Survey Open-File Report 83-875.
14. Oswald, S. 1999: Dichteströmung in porösen Medien-Dreidimensionale Experimente und Modellierung. Schriftenreihe des Instituts für Hydromechanik und Wasserwirtschaft der Eidgenössischen Technischen Hochschule Zürich, Band 2, ISSN 1423-7997.
15. Unger, A.J., P.A. Forsyth, and E.A. Sudicky. 1996. Variable spatial and temporal weighting schemes for use in multi-phase compositional problems. Advances in Water Resources 19, no. 1: 1-27.
16. Van Leer, B. 1974. Towards the ultimate conservative scheme: Monotonicity and conservativity combined in a second order scheme. Journal of Computer Physics 14, 320-324.
17. Verma, S., and K. Aziz. 1996. Two and three-dimensional flexible grids for reservoir simulation. In Proceedings of ECMOR (European Conference on the Mathematics of Oil Recovery) V, 143-156, Leoben/Austria.
18. von Rosenberg, D.U. 1982. Local grid refinement for finite difference methods. Paper SPE 10974, presented at the 57th Annual Fall Technical Conference, New Orleans.
19. Wagner, S., F. Häfner, S. Boy, and A. Behr. 1999. Calibration and sensitivity analysis of the 3-D Cape Cod tracer test. In ModelCare '99, Calibration and Reliability in Groundwater Modelling: Coping with Uncertainty, ed. F. Stauffer, W. Kinzelbach, K. Kovar, and E. Hoehn, 250-255. [AHS publication no. 26. Paris: International Association of Hydrological Sciences.
20. Wasserman, M.L. 1987. Local grid refinement for three-dimensional simulators. Paper SPE 16013, presented at the 9th SPE Symposium on Reservoir Simulation, San Antonio. Richardson, Texas: Society of Petroleum Engineers.
21. Zhang, H., F.W. Schwartz, W.W. Wood, S.P. Garabedian, and D.R. LeBlanc. 1998. Simulation of variable-density flow and transport of reactive and nonreactive solutes during a tracer test at Cape Cod, Massachusetts. Water Resources Research 34, no. 1: 67-82.
22. Zheng, C. 1990. MT3D: A modular three-dimensional transport model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems. In Documentation and User's Guide. Rockville, Illinois: S.S. Papadopoulos and Associates Inc.
23. Zheng, C., and G.D. Bennet. 2002. Applied Contaminant Transport Modeling. New York: Wiley.