thumbnail

Particle velocity interpolation in block-centered finite difference groundwater flow models

Water Resources Research

By:
DOI: 10.1029/89WR03379

Links

Abstract

Reviews linear and bilinear interpolation of velocity and introduces a new interpolation scheme. Linear interpolation of velocity is consistent with the numerical solution of the flow equation and preserves discontinuities in velocity caused by abrupt (blocky) changes in transmissivity or hydraulic conductivity. However, linear interpolation yields discontinuous and somewhat unrealistic velocities in homogeneous aquifers. Bilinear interpolation of velocity yields continuous and realistic velocities in homogeneous and smoothly heterogeneous aquifers but does not preserve discontinuities in velocity at abrupt transmissivity boundaries. The new scheme uses potentiometric head gradients and offers improved accuracy for nonuniform flow in heterogeneous aquifers with abrupt changes in transmissivity. It is equivalent to bilinear interpolation in homogeneous media and is equivalent to linear interpolation where gradients are uniform. -from Author

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Particle velocity interpolation in block-centered finite difference groundwater flow models
Series title:
Water Resources Research
DOI:
10.1029/89WR03379
Volume
26
Issue:
5
Year Published:
1990
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Water Resources Research
First page:
925
Last page:
940
Number of Pages:
16