A perspective on the numerical solution of convection-dominated transport problems: A price to pay for the easy way out

Journal Article · Sat Feb 01 00:00:00 EST 1992 · Water Resources Research; (United States)

DOI:https://doi.org/10.1029/91WR02730· OSTI ID:5149848

Noorishad, J; Tsang, C F ^[1]; Perrochet, P; Musy, A ^[2]

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1. Univ. of California, Berkeley (United States)
2. Ecole Polytechnique Federale, Lausanne (Switzerland)

In a brief but fundamental review of the evolution of the conventional numerical techniques used in the solution of convection-dominated transport problems, the authors explore the difficulties that have been remedied to various degrees by various workers. In the course of this review they obtain the performance characteristic of the Crank-Nicolson Galerkin finite element method in the form of a curve in Peclet number and Courant number space. The authors show that the performance can be altered through a new upwind parameter that can easily be incorporated into many of the existing numerical solution methods. By providing an insight into the limitations of some of these methods they demonstrate, by means of numerical experiments, that the proposed upwinding procedure ensures acceptable solution throughout the Pe-Cr space at a reasonable cost of the smearing effect.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5149848
• Journal Information: Water Resources Research; (United States), Vol. 28:2; ISSN 0043-1397
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
ENVIRONMENTAL TRANSPORT
MATHEMATICAL MODELS
POLLUTANTS
ACCURACY
CONVECTION
NUMERICAL SOLUTION
ENERGY TRANSFER
HEAT TRANSFER
MASS TRANSFER
540220* - Environment
Terrestrial- Chemicals Monitoring & Transport- (1990-)
540320 - Environment
Aquatic- Chemicals Monitoring & Transport- (1990-)
540120 - Environment
Atmospheric- Chemicals Monitoring & Transport- (1990-)