Abstract
This paper develops approximate solutions to a two-dimensional solute transport problem for either continuous or step inputs. The basic idea is to recognize that solute transport is mainly the result of two processes that can be treated independently, convection with the water flow and mixing by diffusion. Convection is treated exactly using the method of characteristics, and diffusion is accounted for with the method of singular perturbations. The integrals involved are no longer taken along vertical lines, as in one-dimensional problems, but now become contour integrals. This does not change the structure of the solution, it just makes the calculations more elaborate, and in some situations numerical algorithms are required to evaluate these integrals. Nevertheless, this method proves to be faster and less cumbersome than traditional difference and finite element schemes.KeywordsSolute TransportSingular PerturbationLine SourcePerturbation SolutionFinite Element SchemeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
