A general technique for assessing the numerical accuracy of solute transport models

Water Resources Research

Volumn 35, Issue 12, 1999, Pages 3961-3966

  Ruan, Feng ^a   McLaughlin, Dennis ^c   Li, Shuguang ^b  

^a SCHLUMBERGER   (United States)

^b Portland State University   (United States)

^c USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033407130     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900244     Document Type: Article

References (14)

1. Baptista, A. M., E. Adams, and P. Gresho, Benchmarks for the transport equation: The convection-diffusion forum and beyond, in Quantitative Skill Assessment for Coastal Ocean Models, Coastal Estuarine Stud., vol. 47, edited by D. R. Lynch and A. M. Davis, pp. 241-268, AGU, Washington, D. C., 1995.
2. Cheng, R. T., V. Casulli, and S. N. Milford, Eulerian-Lagrangian solution of the convection-dispersion equation in natural coordinates, Water Resour. Res., 20(7), 944-952, 1984.
3. Dee, D. P., Prescribed solution forcing method for model verification in hydraulic engineering, paper presented at National Conference on Hydraulic Engineering, Am. Soc. of Civ. Eng., Nashville, July 1991.
4. Dee, D. P., F. Toro, and S. Wang, Numerical model verification by prescribed solution forcing-A test case, paper presented at ASCE Water Forum '92, Am. Soc. of Civ. Eng., Baltimore, Aug. 1992.
5. Dietrich, D. E., P. J. Roach, and M. G. Marietta, Convergence studies with the Sandia Ocean Modeling System, Int. J. Numer. Methods Fluids, 11, 127-150, 1990.
6. Gelhar, L. W. Stochastic Subsurface Hydrology, Prentice-Hall, Englewood Cliffs, N. J., 1993.
7. Javandel, I., C. Doughty, and C. F. Tsang, Groundwater Transport: Handbook of Mathematical Models, Water Resour. Monogr. Ser., vol. 10, edited by I. Javandel, C. Doughty, and C. F. Tsang, AGU, Washington D. C., 1984.
8. Papoulis, A., Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York, 1984.
9. Roach, P. J., Perspective: A method for uniform reporting of grid refinement studies, J. Fluids Eng., 116(3), 405-413, 1994.
10. Roach, P. J., Verification of codes and calculations, paper presented at 26th AAA Fluid Dynamics Conference, Am. Inst. of Aeronaut, and Astronaut., San Diego, Calif., June 1995.
11. Ruan, F., Numerical characterization of solute transport in nested two-scale porous media, Ph.D. dissertation, Dep. of Civ. and Environ. Eng., Mass. Inst. of Technol., Cambridge, 1997.
12. Ruan, F., and D. McLaughlin. An efficient multivariate random field generator using the fast fourier transform, Adv. Water Resour., 21, 385-399, 1998.
13. Ruan, F., and D. B. McLaughlin, An investigation of Eulerian-Lagrangian methods for solving heterogeneous advection-dominated transport problems, Water Resour. Res., 35(8), 2359-2373, 1999.
14. Wheeler, M. F., and C. N. Dawson, An operator splitting method for advection-diffusion-reaction problems, in Mathematics of Finite Elements and Applications (MAFELAP) Proceedings VI, edited by J. A. Whiteman, pp. 463-482, Academic, San Diego, Calif., 1988.