On finite-element analysis of spatio-temporal buoyancy-driven convection processes in porous media

IAHS-AISH Publication

Volumn 237, Issue , 1996, Pages 407-414

  Diersch, H J G ^a   Kolditz, O ^b  

^a WASY Inst Water Rsrc Plan S   (Germany)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; AUTOMATION; BUOYANCY; COMPUTATIONAL METHODS; DENSITY (SPECIFIC GRAVITY); ERRORS; FINITE ELEMENT METHOD; GEOTHERMAL WATER RESOURCES; IMPURITIES; POROUS MATERIALS; RELIABILITY; THREE DIMENSIONAL;

ADAPTED MESH CONTROL; BOUSSINESQ APPROXIMATION; DISCRETIZATION ERRORS; SUBSURFACE WATER RESOURCES; TIME STEP CONTROL;

MASS TRANSFER;

EID: 3342913266     PISSN: 01447815     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. Bank, R. E. (1988) PLTMG User's Guide (edn 5.0). Department of Mathematics, Arizona State University.
2. Combarnous, M. A. & Bories, S. A. (1975) Hydrothermal convection in saturated porous media. In: Advances in Hydroscience (ed. by Ven Te Chow) 10, 231-307. Academic Press, New York.
3. Diersch, H.-J. (1981a) Primitive variables finite element solutions of free convection flows in porous media. Z. Angew. Math. Mech. (ZAMM) 61(7), 325-337.
4. Diersch, H.-J. (1981b) Study of free convective flows in porous media and effects of mechanical dispersion using finite element methods. Gerlands Beiträge zur Geophysik 90(6), 489-506.
5. Diersch, H.-J. (1983) On finite element upwinding and its numerical performance in simulating coupled convective transport processes. Z. Angew. Math. Mech. (ZAMM) 63(10), 479-488.
6. Diersch, H.-J. (1985) Modellierung und numerische Simulation geohydrodynamischerTransportprozesse (Modelling and numerical simulation of geohydrodynamic transport processes) (in German). Habilitation. Academy of Sciences of GDR, Berlin.
7. Diersch, H.-J. (1988) Finite element modelling of recirculating density-driven saltwater intrusion processes in groundwater. Adv. Wat. Resour. 11(1), 25-43.
8. Diersch, H.-J. G. (1995) Finite element analysis of three-dimensional transient free convection processes in porous media. In: Three-Dimensional Complex Flows (Proc. Int. IMACS-COST Conf., Lausanne, Switzerland, September 1995) (in press).
9. Diersch, H.-J. G., Albert, H., Schreyer, J. & Richter, J. (1995) Three-dimensional modelling of flow and contaminant transport processes arising in flooding the Königstein uranium pit. In: Uranium-Mining and Hydrogeology (ed. by B. Merkel et al.) (Proc. Int. Conf., Freiberg, October 1995), vol. 1, 121-130. Verlag Sven von Loga, Köln.
10. Diersch, H.-J. G. (1996) Interactive, graphics-based finite-element simulation system FEFLOW for modelling groundwater flow, contaminant mass and heat transport processes. FEFLOW User's Manual Version 4.50, April 1996, WASY Institute for Water Resources Planning and Systems Research Ltd, Berlin.
11. Elder, J. W. (1967) Transient convection in a porous medium. J. Fluid Mech. 27(3), 609-623.
12. Erdmann, B., Hoppe, R. H. W. & Kornhuber, R. (1994) Adaptive multilevel-methods for obstacle problems in three space dimensions. In: Proc. Ninth GAMM-Seminar on Adaptive Methods (ed. by W. Hackbusch & G. Wittum) (Kiel, January 1993), 120-141. Vieweg & Sohn, Braunschweig/Wiesbaden.
13. Frind, E. O. (1988) Simulation of long-term transient density-dependent transport in groundwater. Adv. Wat. Resour. 5, 73-88.
14. Galeati, G., Gambolati, G. & Neuman, S. P. (1992) Coupled and partially coupled Eulerian-Lagrangian model of freshwater-seawater mixing. Wat. Resour. Res. 28(1), 149-165.
15. Hassanizadeh, S. M. & Leijnse, A. (1995) A non-linear theory of high-concentration-gradientdispersion in porous media. Adv. Wat. Resour. 18(4), 203-215.
16. Henry, H. R. (1964) Effects of dispersion on salt encroachment in coastal aquifers. USGS Wat. Supply Pap. 1613-C, C71-C84.
17. Herbert, A. W., Jackson, C. P. & Lever, D. A. (1988) Coupled groundwater flow and solute transport with fluid density strongly dependent upon concentration. Wat. Resour. Res. 24(10), 1781-1795.
18. Huyakorn, P. S. & Taylor, C. (1976) Finite element models for coupled groundwater and convective dispersion. In: Proc. 1st Int. Conf. on Finite Elements in Water Resources, 1.131-1.151. Pentech Press, London.
19. Huyakorn, P. S., Anderson, P. F., Mercer, J. W. & White, H. O., Jr (1987) Saltwater intrusion in aquifers: Development and testing of a three-dimensional finite element model. Wat. Resour. Res. 23(2), 293-312.
20. Kakinuma T., Kishi, Y. & Inouchi, K. (1988) The behaviour of groundwater with dispersion in coastal aquifers. J. Hydrol. 98, 225-248.
21. Kolditz, O. (1994) Benchmarks for numerical groundwater simulations. In: FEFLOW User's Manual (ed. by H.-J. G. Diersch). WASY Ltd, Berlin.
22. Kolditz, O., Ratke, R., Diersch, H.-J. & Zielke, W. (1995) Coupled groundwater flow and transport: Verification of density variable flow and transport models. (Preprint). Institute of Fluid Mechanics, Hannover, Dec.
23. Nield, D. A. & Bejan, A. (1992) Convection in Porous Media. Springer Verlag, Berlin.
24. Oldenburg, C. M. & Pruess, K. (1995) Dispersive transport dynamics in a strongly coupled groundwater-brine system. Wat. Resour. Res. 31(2), 289-302.
25. Onate, E. & Bugeda, G. (1993) Mesh optimality criteria for adaptive finite element computations. In: Mathematics of Finite Elements and Applications - Highlights 1993 (ed. by J. R. Whiteman). Wiley, Chichester, UK.
26. OECD (1988) The international Hydrocoin project. Level 1: Code verification. Report 71617, Organization of Economic Cooperation and Development, Paris.
27. Pinder, G. F. & Cooper, H. H. (1970) A numerical technique for calculating the transient position of the saltwater front. Wat. Resour. Res. 6(3), 875-882.
28. Schincariol, R. A., Schwartz, F. W. & Mendoza, C. A. (1994) On the generation of instabilities in variable density flow. Wat. Resour. Res. 30(4), 913-927.
29. Segol, G., Pinder, G. F. & Gray, W. G. (1975) A Galerkin finite element technique for calculating the transient position of the saltwater front. Wat. Resour. Res. 11(2), 343-347.
30. Segol, G. (1994) Classic Groundwater Simulations. Proving and Improving Numerical Models. Prentice Hall, Englewood Cliffs, New Jersey.
31. Voss, C. I. & Souza, W. R. (1987) Variable density flow and solute transport simulation of regional aquifers containing a narrow freshwater-saltwater transition zone. Wat. Resour. Res. 26(6), 2097-2106.
32. Zienkiewicz, O. C. & Zhu, J. Z. (1987) A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Num. Meth. Engng 24, 337-357.