IMPLICIT FLOOD ROUTING IN NATURAL CHANNELS
FLOOD ROUTING IN NATURAL CHANNELS AND MANY OTHER APPLICATIONS IN HYDRAULIC ENGINEERING BASED ON THE SOLUTION OF THE EQUATIONS OF UNSTEADY FLOW REQUIRE FAST AND ACCURATE NUMERICAL METHODS. NUMERICAL METHODS WHICH ARE SUCCESSFUL IN OTHER APPLICATIONS PROVE TO BE INEFFICIENT WHEN USED FOR FLOOD ROUTING. AN IMPLICIT NUMERICAL METHOD WHICH IS BOTH FAST AND ACCURATE CAN BE ESTABLISHED ON THE BASIS OF: (1) A CENTERED DIFFERENCE SCHEME TO REPRESENT THE PRIMARY DIFFERENTIAL EQUATIONS IN FINITE DIFFERENCE FORM; AND (2) THE SIMULTANEOUS SOLUTION OF THE FINITE DIFFERENCE EQUATIONS FOR EACH TIME STEP. THE DIFFERENCE EQUATIONS CONSTITUTE A SYSTEM OF NONLINEAR ALGEBRAIC EQUATIONS WHICH CAN BY SOLVED ON A DIGITAL COMPUTER BY NEWTON ITERATION METHOD THE COMPUTATIONAL SCHEME BECOMES VERY EFFICIENT WHEN ADVANTAGE IS TAKEN OF THE SPARSENESS OF THE MATRIX OF COEFFICIENTS OF THE LINEAR SYSTEMS EMPLOYED IN THE ITERATION. APPLICATIONS OF THE IMPLICIT METHOD SHOW THAT IT CAN BE CONVENIENTLY USED FOR HIGHLY IRREGULAR CHANNELS. /AUTHOR/
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Supplemental Notes:
- Vol 96, No HY 12, PROC PAPER 7773, PP 2481-2500, 10 FIG,
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Authors:
- Amein, M
- Fang, C S
- Publication Date: 1970-12
Media Info
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Serial:
- Journal of the Hydraulics Division
- Publisher: American Society of Civil Engineers
Subject/Index Terms
- TRT Terms: Channel flow; Digital computers; Finite differences; Flood protection; Flood routing; Flow; Flow equations; Information processing; Nonlinear equations; Numerical analysis; Streamflow; Unsteady flow; Water; Water control
- Old TRIS Terms: Flow channel
- Subject Areas: Highways; Hydraulics and Hydrology;
Filing Info
- Accession Number: 00204322
- Record Type: Publication
- Files: TRIS
- Created Date: Feb 8 1971 12:00AM