Controlling numerical diffusion in solving advection-dominated transport problems

Nicolae Suciu; Imre Boros

doi:10.33993/jnaat531-1438

Authors

Nicolae Suciu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania https://orcid.org/0000-0001-7436-8463
Imre Boros Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania https://orcid.org/0000-0003-2568-4640

DOI:

https://doi.org/10.33993/jnaat531-1438

Keywords:

Advection-dominated transport, Numerical diffusion, Finite differences, Method of lines, Global random walk

Abstract views: 130

Abstract

Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods are analyzed together with a global random walk algorithm in the frame of a splitting procedure. The efficiency of the methods with respect to the control of the numerical diffusion is investigated numerically on one-dimensional problems with constant coefficients and two-dimensional problems with variable coefficients consisting of realizations of space-random functions.

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References

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