Characteristics Method Using Cubic-Spline Interpolation for Advection-Diffusion Equation

Journal of Hydraulic Engineering

Volumn 130, Issue 6, 2004, Pages 580-585

  Tsai, Tung Lin ^a   Yang, Jinn Chuang ^a   Huang, Liang Hsiung ^b  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Advection; Diffusion; Interpolation

Indexed keywords

ADVECTION; DIFFUSION; FINITE DIFFERENCE METHOD; PARTIAL DIFFERENTIAL EQUATIONS; APPROXIMATION THEORY; CONSTRAINT THEORY; DIFFERENCE EQUATIONS; PROBLEM SOLVING;

ADVECTION-DIFFUSION EQUATION; CHARACTERISTIC METHOD; CUBIC-SPLINE INTERPOLATION; DERIVATIVE CONSTRAINTS; END-POINT CONSTRAINT; FINITE DIFFERENCE APPROXIMATIONS; FIRST DERIVATIVE; HIGHER ORDER FINITE DIFFERENCES; PREISSMANN SCHEME; SECOND DERIVATIVES;

INTERPOLATION; HYDRAULICS;

ADVECTION-DIFFUSION EQUATION; CUBIC-SPLINE INTERPOLATION; HIGH-ORDER FINITE DIFFERENCE APPROXIMATION;

ADVECTION-DIFFUSION EQUATION; HYDRAULICS; MATHEMATICAL ANALYSIS;

ILEX;

EID: 2942575887     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2004)130:6(580)     Document Type: Article

References (16)

1. DeBoor, C. (1978). A practical guide to spline. Springer, New York.
2. Gerald, C. F., and Wheatley, P. O. (1994). Applied numerical analysis. Addison-Wesley, New York.
3. Glass, J., and, Rodi, W. (1982). " A higher order numerical scheme for scalar transport. " Comput. Methods Appl. Mech. Eng., CMMECC 31, 337-358. cme CMMECC 0045-7825
4. Holly, F. M., Jr., and, Preissmann, A. (1977). " Accurate calculation of transport in two dimensions. " J. Hydraul. Div., Am. Soc. Civ. Eng., JYCEAJ 103 (11), 1259-1277. 8pb JYCEAJ 0044-796X
5. Holly, F. M., Jr., and, Usseglio-Polatera, J. (1984). " Dispersion simulation in two-dimensional tidal flow. " J. Hydraul. Eng., JHEND8 110 (7), 905-926. 9fn JHEND8 0733-9429
6. Holly, F. M., Jr., and, Rahuel, J. L. (1990). " New numerical/physical framework for mobile-bed modeling, part I-Numerical and physical principles. " J. Hydraul. Res., JHYRAF 28 (4), 401-416. jhq JHYRAF 0022-1686
7. Karpik, S. R., and, Crockett, S. R. (1997). " Semi-Lagrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes. " J. Hydraul. Eng., JHEND8 123 (5), 389-401. 9fn JHEND8 0733-9429
8. Knott, G. D. (1999). Interpolating cubic splines. Birkhauser, Boston.
9. Kvasov, B. I. (2000). Shape-preserving spline approximation. Scientific Publishing, Singapore.
10. Lin, B., and, Falconer, R. A. (1997). " Tidal flow and transport modeling using ULTIMATE QUICKEST scheme. " J. Hydraul. Eng., JHEND8 123 (4), 303-314. 9fn JHEND8 0733-9429
11. Schohl, G. A., and, Holly, F. M., Jr. (1991). " Cubic-spline interpolation in Lagrangian advection computation. " J. Hydraul. Eng., JHEND8 117 (2), 248-253. 9fn JHEND8 0733-9429
12. Sobey, R. J. (1984). " Numerical alternatives in transient stream response. " J. Hydraul. Eng., JHEND8 110 (6), 749-772. 9fn JHEND8 0733-9429
13. Stefanovic, D. L., and, Stefan, H. G. (2001). " Accurate two-dimensional simulation of advective-diffusive-reactive transport. " J. Hydraul. Eng., JHEND8 127 (9), 728-737. 9fn JHEND8 0733-9429
14. Toda, K., and, Holly, F. M., Jr. (1987). " Hybrid numerical method for linear advection-diffusion. " Microsoftw. Eng., ZZZZZZ 3 (4), 199-205.
15. Yang, J. C., and, Hsu, E. L. (1991). " On the use of the reach-back characteristics method for calculation of dispersion. " Int. J. Numer. Methods Fluids, IJNFDW 12, 225-235. ijy IJNFDW 0271-2091
16. Yaneko, N. N. (1971). The method of fractional steps: The solution of problems of mathematical physics in several variables, Springer, New York.