FLOOD ROUTING THROUGH STORM DRAINS PART IV NUMERICAL COMPUTER METHODS OF SOLUTION

PART FOUR, ENTITLED "NUMERICAL COMPUTER METHODS OF SOLUTION", PRESENTS COMPUTER-ORIENTED NUMERICAL METHODS FOR SOLVING THE TWO QUASILINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS KNOWN AS THE SAINT-VENANT EQUATIONS OF GRADUALLY VARIED FREE-SURFACE UNSTEADY FLOW. FORMULATION AND DESCRIPTION OF VARIOUS FINITE- DIFFERENCE SCHEMES BASED ON EXPLICIT METHODS INCLUDE THE "UNSTABLE, DIFFUSING, UPSTREAM DIFFERENCING, LEAP- FROG, AND LAX-WENDROFF SCHEMES. STABILITY AND CONVERGENCE ARE EXAMINED FOR THESE VARIOUS SCHEMES OF THE EXPLICIT METHOD. VARIOUS CRITERIA ARE USED TO COMPARE THE SPECIFIED INTERVALS SCHEME OF THE METHOD OF CHARACTERISTICS, THE LAX-WENDROFF SCHEME, AND THE DIFFUSING SCHEME. OF THE EXPLICIT SCHEMES THE LAX- WENDROFF SCHEME WITH SECOND-ORDER INTERPOLATION FOR DEPENDENT VARIABLES IS THE MOST ACCURATE STABLE SCHEME. THE SPECIFIED INTERVALS SCHEME OF THE METHOD OF CHARACTERISTICS USING EITHER FIRST-ORDER OR SECOND- ORDER INTERPOLATIONS FOR THE DEPENDENT VARIABLES IS ALSO DISCUSSED. IT IS CONCLUDED THAT THE METHOD OF CHARACTERISTICS WITH SECOND-ORDER INTERPOLATIONS IS THE MOST ACCURATE NUMERICAL INTEGRATION SCHEME. FLOW CHARTS, COMPUTER PROGRAMS, VARIABLE CONVERSION TABLES, AND SAMPLE INPUTS AND OUTPUTS FOR THE THREE NUMERICAL COMPUTER SCHEMES, THE DIFFUSING SCHEME, THE LAX- WENDROFF SCHEME, AND THE SPECIFIED INTERVALS SCHEME OF THE METHOD OF CHARACTERISTICS, USED IN THE SOLUTION OF THE DE SAINT-VENANT EQUATIONS, ARE GIVEN IN APPENDICES. /AUTHOR/

  • Supplemental Notes:
    • No 46, 47 PP, 16 FIG, 4 TAB, 6 REF, 3 APP
  • Corporate Authors:

    Colorado State University, Fort Collins

    Hydrology Papers
    Fort Collins, CO  United States  80523
  • Authors:
    • Yevjevitch, V
    • Barnes, A H
  • Publication Date: 1970-11

Subject/Index Terms

Filing Info

  • Accession Number: 00204399
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Dec 30 1971 12:00AM