Controlling numerical diffusion in solving advection-dominated transport problems

Autor: Nicolae Suciu, Imre Boros
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Numerical Analysis and Approximation Theory, Vol 53, Iss 1 (2024)
Druh dokumentu: article
ISSN: 2457-6794
2501-059X
DOI: 10.33993/jnaat531-1438
Popis: 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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