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Main Title General Mass-Conservative Numerical Solution for the Unsaturated Flow Equation.
Author Celia, M. A. ; Bouloutas, E. T. ; Zarba, R. L. ;
CORP Author Princeton Univ., NJ. Dept. of Civil Engineering and Operations Research. ;Camp, Dresser and McKee, Inc., Boston, MA.;Robert S. Kerr Environmental Research Lab., Ada, OK.;Nuclear Regulatory Commission, Washington, DC.;National Science Foundation, Washington, DC.
Publisher c1990
Year Published 1990
Report Number NRC-04-88-074, NSF-8657419-CES; EPA/600/J-90/445;
Stock Number PB91-177261
Additional Subjects Flow equations ; Computational fluid dynamics ; Partial differential equations ; Numerical integration ; Ground water ; Approximation ; Soils ; Reprints ;
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NTIS  PB91-177261 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 16p
Abstract The paper investigates the numerical behavior of standard approximation methods for the unsaturated flow equation. Solution using the h-based formulation and a backward Euler time discretization is shown to produce unacceptably large mass balance errors for many example calculations. This is true for any iteration method (Picard, Newton-Raphson, etc.). It is also true for both finite difference and finite element approximations in space, although finite elements are generally inferior to finite differences. A modified numerical approach is proposed that alleviates the mass balance problems discussed above. This approach is based on a fully implicit (backward Euler) time approximation applied to the mixed form of the unsaturated flow equation.
Supplementary Notes Pub. in American Geophysical Union, v26 n7 p1483-1495 Jul 90. Prepared in cooperation with Camp, Dresser and McKee, Inc., Boston, MA. Sponsored by Robert S. Kerr Environmental Research Lab., Ada, OK., Nuclear Regulatory Commission, Washington, DC., and National Science Foundation, Washington, DC.
NTIS Title Notes Journal article.
Title Annotations Reprint: General Mass-Conservative Numerical Solution for the Unsaturated Flow Equation.
Category Codes 48G; 50B
NTIS Prices PC A03/MF A01
Primary Description 600/15
Document Type NT
Cataloging Source NTIS/MT
Control Number 116430308
Origin NTIS
Type CAT