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Modeling of in-situ biorestoration of organic compounds in groundwater (1991)

Chiang, Chen Y. ; Dawson, Clint N. ; Wheeler, Mary F.

Springer

Transport in porous media 6 (1991), S. 667-702

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ISSN: 1573-1634

Keywords: Modified method of characteristics ; time-splitting ; in situ biorestoration ; adsorption ; contaminant transport

Source: Springer Online Journal Archives 1860-2000

Topics: Geosciences , Technology

Notes: Abstract A convergent numerical method for modeling in situ biorestoration of contaminated groundwater is outlined. This method treats systems of transport-biodegradation equations by operator splitting in time. Transport is approximated by a finite element modified method of characteristics. The biodegradation terms are split from the transport terms and treated as a system of ordinary differential equations. Numerical results for vertical cross-sectional flow are presented. The effects of variable hydraulic conductivity and variable linear adsorption are studied.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00137855

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Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems (1994)

Wheeler, Mary F. ; Whiteman, J. R.

New York, NY [u.a.] : Wiley-Blackwell

Numerical Methods for Partial Differential Equations 10 (1994), S. 271-294

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ISSN: 0749-159X

Keywords: Mathematics and Statistics ; Numerical Methods

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: Superconvergent error estimates in l2(H1) and l∞(H1) norms are derived for recovered gradients of finite difference in time/piecewise linear Galerkin approximations in space for linear and quasinonlinear parabolic problems in two space dimensions. The analysis extends previous results for elliptic problems to the parabolic context, and covers problems in regions with nonsmooth boundaries under certain assumptions on the regularity of the solutions. © 1994 John Wiley & Sons, Inc.