A semi-Lagrangian water temperature model for advection-dominated river systems

Water Resources Research

Volumn 45, Issue 12, 2009, Pages

  Yearsley, John R ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM SOLUTIONS; COLUMBIA RIVER; COMPUTATIONALLY EFFICIENT; DISCRETE POINTS; ENERGY EQUATION; EULERIAN; FIXED GRIDS; FLOW CHARACTERISTIC; FLOWING STREAMS; FURTHER DEVELOPMENT; GLOBAL SCALE; LAGRANGIAN; MODEL ESTIMATES; NUMERICAL SCHEME; ON-STREAM; PACIFIC NORTHWEST; PRELIMINARY ANALYSIS; RIVER SYSTEMS; SEMI-LAGRANGIAN; SEMI-LAGRANGIAN METHODS; SIMULATED RESULTS; STATE SPACE STRUCTURES; STREAM TEMPERATURES; TIME AND SPACE; TIME-DEPENDENT EQUATIONS; WATER PARCEL; WATER QUALITY ISSUES; WATER TEMPERATURES; COMPARISON OF MODELS; FLOW CHARAC-TERISTICS; STREAM TEMPERATURE MODELS;

CLIMATE CHANGE; COMPUTATIONAL EFFICIENCY; HYDRAULICS; LAGRANGE MULTIPLIERS; QUALITY CONTROL; RISK ANALYSIS; RISK ASSESSMENT; SAFETY FACTOR; SPACE PLATFORMS; UNCERTAINTY ANALYSIS; WATER ANALYSIS; WATER POLLUTION; WATER QUALITY;

RIVERS;

CLIMATE CHANGE; ENERGY CONSERVATION; LAGRANGIAN ANALYSIS; NUMERICAL MODEL; RISK ASSESSMENT; UNCERTAINTY ANALYSIS; WATER QUALITY; WATER TEMPERATURE;

COLUMBIA RIVER; PACIFIC NORTHWEST;

EID: 72149092926     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR007629     Document Type: Article

References (60)

1. Boyd, M., and B. Kasper (2003), Analytical methods for dynamic open channel heat and mass transfer: Methodology for heat source model version 7.0, Oreg. Dep. of Environ. Qual., Portland.
2. Brown, L. C., and T. O. Barnwell Jr. (1987), The enhanced stream water quality models QUAL2E and QUAL2E-UNCAS, Rep. EPA/600/3-87/ 007, Environ. Resour. Lab., U.S. Environ. Prot. Agency, Athens, Ga.
3. Burkholder, B. K., G. E. Grant, R. Haggerty, T. Khangaonkar, and P. J. Wampler (2008), Influence of hyporheic flow and geomorphology on temperature of a large, gravel-bed river, Clackamas River, Oregon, USA, Hydrol. Processes, 22, 941-953, doi:10.1002/hyp.6984.
4. Burt, W. V. (1958), Heat budget terms for Middle Snake River Reservoir, in Water Temperature Studies on the Snake River, Tech. Rep. 6, U.S. Fish and Wildlife Serv., Washington, D. C.
5. Chapra, S. C. (1997), Surface Water-Quality Modeling, McGraw-Hill, New York.
6. Chapra, S. C., G. J. Pelletier, and H. Tao (2008), QUAL2K: A modeling framework for simulating river and stream water quality, version 2.11: Documentation and users manual, Civ. and Environ. Eng. Dep., Tufts Univ., Medford, Ma.
7. Cheng, R. T., V. Casulli, and S. N. Milford (1984), Eulerian-Lagrangian solution of the convection-dispersion equation in natural coordinates, Water Resour. Res., 20(7), 944-952, doi:10.1029/WR020i007p00944.
8. Cole, T. M., and S. A. Wells (2002), CE-QUAL-W2: A two-dimensional, laterally averaged, hydrodynamic and water quality model, version 3.1, Instr. Rep. EL-02-11, U.S. Army Corps of Eng., Vicksburg, Miss.
9. Collins, W. D., P. J. Rasch, B. A. Boville, J. J. Hack, J. R. McCaa, D. S. L. Williamson, J. T. Kiehl, and B. B. Briegleb (2004), Description of the NCAR Community Atmosphere Model (CAM 3.0), Tech. Note NCAR/ TN-464+STR, Clim. and Global Dyn. Div., Natl. Cent. for Atmos. Res., Boulder, Colo.
10. Delay, W. H., and J. Seaders (1966), Predicting temperature in rivers and reservoirs, J. Sanit. Eng. Div., 92, 115-134.
11. Donato, M. M. (2002), A statistical model for estimating stream temperatures in the Salmon and Clearwater River basins, central Idaho, U.S. Geol. Surv. Water Resour. Invest. Rep., 02-4195.
12. European Centre for Medium-Range Weather Forecasts (2006), IFS documentation Cy31r1, operational implementation, part III: Dynamics and numerical procedures, Reading, U. K.
13. Edinger, J. E., D. K. Brady, and J. C. Geyer (1974), Heat exchange and transport in the environment, Rep. 14, Electr. Power Resour. Inst., Palo Alto, Calif.
14. Foreman, M. G. G., C. B. James, M. C. Quick, P. Hollemans, and E. Wiebe (1997), Flow and temperature models for the Fraser and Thompson rivers, Atmos. Ocean, 35(1), 109-134.
15. Foreman, M. G. G., D. K. Lee, J. Morrison, S. Macdonald, D. Barnes, and I. V. Williams (2001), Simulations and retrospective analyses of Fraser watershed flows and temperatures, Atmos. Ocean, 39(2), 89-105.
16. Gelb, A., J. F. Kasper Jr., R. A. Nash Jr., C. F. Price, and A. A. Sutherland Jr. (1974), Applied Optimal Estimation, MIT Press, Cambridge, Mass.
17. Hamlet, A. F., and D. P. Lettenmaier (1999), Effects of climate change on hydrology and water resources in the Columbia River basin, J. Am. Water Res. Assoc., 35(6), 1597-1623, doi:10.1111/j.1752-1688.1999.tb04240.x.
18. Hydrologic Engineering Center (2002), HEC-RAS: River analysis system, version 3.0, U.S. Army Corps of Eng., Davis, Calif.
19. Independent Scientific Group (1996), Return to the River: Restoration of Salmonid Fishes in the Columbia River Ecosystem, Northwest Power Plann. Counc., Portland, Oreg.
20. Itergovernmental Panel on Climate Change (2000), Special Report on Emissions Scenarios. A Special Report of Working Group III of the
21. Intergovernmental Panel on Climate Change, edited by N. Nakicenovic and R. Swart, Cambridge Univ. Press, Cambridge, U. K. Intergovernmental Panel on Climate Change (2007), Summary for policymakers, in Climate Change 2007: Impacts, Adaptation and Vulnerability. Contribution of Working Group II to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by M. L. Parry et al., pp. 7-22, Cambridge Univ. Press, Cambridge, U. K.
22. Jobson, H. E. (1981), Temperature and solute-transport simulation in streamflow using a Lagrangian reference frame, U.S. Geol. Survey Water Resour. Invest. Rep., 81-82
23. Jobson, H. E., and D. H. Schoellhamer (1993), Users manual for a branched Lagrangian transport model, U.S. Geol. Survey Water Resour. Invest., 87-4163.
24. King, I. P. (1996a), RMA-11; a two-dimensional finite element model for water quality, version 2.1, Resour. Manage. Assoc., Suisun, Calif.
25. King, I. P. (1996b), RMA-2; a two-dimensional finite element model for flow in estuaries and streams, version 5.1, Resour. Manage. Assoc., Suisun, Calif.
26. Leonard, B. P. (1979), A stable and accurate convective modeling procedure based on quadratic upstream interpolation, Comput. Methods Appl. Mech. Eng., 19, 59-98, doi:10.1016/0045-7825(79)90034-3.
27. Leonard, B. P. (1991), The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection, Comput. Methods Appl. Mech. Eng., 88, 17-74, doi:10.1016/0045-7825(91)90232-U. (Pubitemid 21699098)
28. Leopold, L. B., and T. Maddock (1953), The hydraulic geometry of channels and some physiographic implications, U.S. Geol. Surv. Prof. Pap., 252.
29. Liang, X., D. P. Lettenmaier, E. F. Wood, and S. J. Burges (1994), A simple hydrologically based model of land surface water energy fluxes for general circulation models, J. Geophys. Res., 99(D7), 14,415-14,428, doi:10.1029/94JD00483.
30. Manson, J. R., and S. G. Wallis (2000), A conservative, semi-Lagrangian fate and transport model for fluvial systems-I. Theoretical development, Water Res., 34(15), 3769-3777, doi:10.1016/S0043-1354(00)00131-7. (Pubitemid 30645655)
31. Manson, J. R., S. G. Wallis, and D. Hope (2001), A conservative semi-Lagrangian transport model for rivers with transient storage zones, Water Resour. Res., 37(12), 3321-3329, doi:10.1029/2001WR000230. (Pubitemid 34108283)
32. Maurer, E. P., A. W. Wood, J. C. Adam, D. P. Lettenmaier, and B. Nijssen (2002), A long-term hydrologically based data set of land surface fluxes and states for the conterminous United States, J. Clim., 15, 3237-3251, doi:10.1175/1520-0442(2002)015<3237:ALTHBD>2.0.CO;2.
33. Meyer, J. L., M. J. Sale, P. J. Mulholland, and N. L. Poff (1999), Impacts of climate change on aquatic ecosystem functioning and health, J. Am. Water Resour. Assoc., 35, 1373-1386, doi:10.1111/j.1752-1688.1999.tb04222.x.
34. Mohseni, O., H. G. Stefan, and T. R. Erickson (1998), A nonlinear regression model for weekly stream temperatures, Water Resour. Res., 34(10), 2685-2693, doi:10.1029/98WR01877.
35. Morrison, J., M. C. Quick, and M. G. G. Foreman (2002), Climate change in the Fraser River watershed: Flow and temperature projection, J. Hydrol., 263(1-4), 230-244, doi:10.1016/S0022-1694(02)00065-3. (Pubitemid 35211800)
36. Nijssen, B., and D. P. Lettenmaier (1997), Streamflow simulation for continental-scale river basins, Water Resour. Res., 33(4), 711-724, doi:10.1029/96WR03517.
37. Pan, M., and E. F. Wood (2006), Data assimilation for estimating the terrestrial water budget using a constrained ensemble Kalman filter, J. Hydrometeorol., 7(3), 534-547, doi:10.1175/JHM495.1. (Pubitemid 44070419)
38. Poole, G. C., and C. H. Berman (2001), An ecological perspective on instream temperature: Natural heat dynamics and mechanisms of human caused degradation, Environ. Manage. N. Y., 27, 787-802, doi:10.1007/ s002670010188. (Pubitemid 32524987)
39. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1986), Numerical Recipes: The Art of Scientific Computing, Cambridge Univ. Press, New York.
40. Raphael, J. M. (1962), Prediction of temperature in rivers and reservoirs, J. Power Div. Am. Soc. Civ. Eng., 2, 157-181.
41. Richmond, M. C., and W. A. Perkins (2002), Regional scale simulation of water temperatures variations in the Columbia River basin, paper presented at Research and Extension Regional Water Quality Conference, Coop. State Res., Educ., and Ext. Serv., U.S. Dep. of Agric., Vancouver, Wash., February.
42. Richmond, M., W. Perkins, and Y. Chien (2000), Numerical model analysis of systemwide dissolved gas abatement alternatives, Contract DACW68-96-D-0002, Battelle Pac. Northwest Div., Richland, Wash.
43. Risley, J. C., E. A. Roehl Jr., and P. A. Conrads (2003), Estimating water temperatures in small streams in Western Oregon using neural networks, U.S. Geol. Survey Water Resour. Invest. Rep., 02-4218.
44. Roache, P. J. (1976), Computational Fluid Dynamics, Hermosa, Albuquerque, N. M.
45. Schweppe, F. C. (1973), Uncertain Dynamic Systems, Prentice-Hall, Englewood Cliffs, N. J.
46. Sinokrot, B. A., and H. G. Stefan (1993), Stream temperature dynamics: Measurements and modeling, Water Resour. Res., 29(7), 2299-2312, doi:10.1029/93WR00540. (Pubitemid 24395044)
47. Snover, A. K., A. F. Hamlet, and D. P. Lettenmaier (2003), Climate change scenarios for water planning studies, Bull. Am. Meteorol. Soc., 84(11), 1513-1518.
48. Sridhar, V., A. L. Sansone, J. Lamarche, T. Dubin, and D. P. Lettenmaier (2004), Prediction of stream temperature in forested watersheds, J. Am. Water Res. Assoc., 40(1), 197-213, doi:10.1111/j.1752-1688.2004.tb01019.x.
49. Stow, C. A., and D. Scavia (2009), Modeling hypoxia in the Chesapeake Bay: ensemble estimation using a Bayesian hierarchical model, J. Mar. Syst., 76, 244-250, doi:10.1016/j.jmarsys.2008.05.008.
50. Sullivan, A. B., and S. A. Rounds (2004), Modeling streamflow and water temperature in the North Santiam and Santiam rivers, Oregon, 2001-02, U.S. Geol. Survey Water Resour. Invest. Rep., 2004-5001, 35 pp.
51. Sverdrup, H. U., M. W. Johnson, and R. H. Fleming (1942), The Oceans, Their Physics, Chemistry, and General Biology, Prentice-Hall, New York.
52. Theurer, F. D., K. A. Voos, and W. J. Miller (1984), Instream water temperature model, Instream Flow Inf. Pap. 16, U.S. Fish and Wildlife Serv., Fort Collins, Colo.
53. Toprak, Z. F., and M. E. Savci (2007), Longitudinal dispersion coefficient modeling in natural channels using fuzzy logic, Clean Soil Air Water, 35(6), 626-637.
54. Vrugt, J. A., H. V. Gupta, B. O. Nuallain, and W. Bouten (2006), Real-time data assimilation for operational ensemble streamflow forecasting, J. Hydrometeorol., 7, 548-565, doi:10.1175/JHM504.1. (Pubitemid 44087847)
55. Wunderlich, W. O., and R. Gras (1967), Heat and mass transfer between a water surface and the atmosphere, Div. of Water Pollut. Control Plann., Tenn. Valley Authority, Norris.
56. Yearsley, J. R. (2003a), Columbia River temperature assessment: Simulation of the thermal regime of Lake Roosevelt, Rep. EPA 910-C-03-100, U.S. Environ. Prot. Agency, Seattle, Wash.
57. Yearsley, J. R. (2003b), Developing a temperature TMDL for the Columbia and Snake rivers: Simulation methods, Rep. EPA-910-R-03-1003, U.S. Environ. Prot. Agency, Seattle, Wash.
58. Yearsley, J., D. Karna, S. Peene, and B. Watson (2001), Application of a 1-D heat budget model to the Columbia River system, Rep. EPA 910-R-01-004, U.S. Environ. Prot. Agency, Seattle, Wash.
59. Yeh, G. T. (1990), A Lagrangian-Eulerian method with zoomable hidden fine-mesh approach to solving advection-dispersion equations, Water Resour. Res., 26(6), 1133-1144.
60. Zhang, R., K. Huang, and M. T. van Genuchten (1993), An efficient Eulerian-Lagrangian method for solving solute transport problems in steady and transient flow fields, Water Resour. Res., 29(12), 4131-4138, doi:10.1029/93WR01674.