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 ;
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
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 |