Abstract
The mixed explicit-implicit Galerkin finite element method developed previously by the authors is shown to be suited for a wide class of problems arising in subsurface hydrology. These problems include confined saturated flow, unconfined flow under free surface conditions subject to the Dupuit assumption, flow in aquifers which are partly confined and partly unconfined, axisymmetric flow to a well with storage, and flow in saturated-unsaturated soils. Five examples are presented to demonstrate the versatility and power of this new approach. A purely physical derivation of the finite element equations which does not rely on the Galerkin formalism is also included.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 863-877 |
| Number of pages | 15 |
| Journal | Water Resources Research |
| Volume | 14 |
| Issue number | 5 |
| State | Published - Oct 1978 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Aquatic Science
- Environmental Science(all)
- Environmental Chemistry
- Water Science and Technology
Cite this
FINITE ELEMENT METHOD FOR SUBSURFACE HYDROLOGY USING A MIXED EXPLICIT-IMPLICIT SCHEME. / Narasimhan, T. N.; Neuman, Shlomo P; Witherspoon, P. A.
In: Water Resources Research, Vol. 14, No. 5, 10.1978, p. 863-877.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - FINITE ELEMENT METHOD FOR SUBSURFACE HYDROLOGY USING A MIXED EXPLICIT-IMPLICIT SCHEME.
AU - Narasimhan, T. N.
AU - Neuman, Shlomo P
AU - Witherspoon, P. A.
PY - 1978/10
Y1 - 1978/10
N2 - The mixed explicit-implicit Galerkin finite element method developed previously by the authors is shown to be suited for a wide class of problems arising in subsurface hydrology. These problems include confined saturated flow, unconfined flow under free surface conditions subject to the Dupuit assumption, flow in aquifers which are partly confined and partly unconfined, axisymmetric flow to a well with storage, and flow in saturated-unsaturated soils. Five examples are presented to demonstrate the versatility and power of this new approach. A purely physical derivation of the finite element equations which does not rely on the Galerkin formalism is also included.
AB - The mixed explicit-implicit Galerkin finite element method developed previously by the authors is shown to be suited for a wide class of problems arising in subsurface hydrology. These problems include confined saturated flow, unconfined flow under free surface conditions subject to the Dupuit assumption, flow in aquifers which are partly confined and partly unconfined, axisymmetric flow to a well with storage, and flow in saturated-unsaturated soils. Five examples are presented to demonstrate the versatility and power of this new approach. A purely physical derivation of the finite element equations which does not rely on the Galerkin formalism is also included.
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UR - http://www.scopus.com/inward/citedby.url?scp=0018021457&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0018021457
VL - 14
SP - 863
EP - 877
JO - Water Resources Research
JF - Water Resources Research
SN - 0043-1397
IS - 5
ER -