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.
Authors
Nicolae Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Imre Boros
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Keywords
Advection-dominated transport; Numerical diffusion; Finite differences; Method of lines; Global random walk
Paper coordinates
N. Suciu, I. Boros, Controlling numerical diffusion in solving advection-dominated transport problems, J. Numer. Anal. Approx. Theory, 53 (2024) no. 1, pp, 144–157, https://doi.org/10.33993/jnaat531-1438
About this paper
Journal
Journal of Numerical Analysis and Approximation Theory
Publisher Name
Romanian Academy
Print ISSN
2457-6794
Online ISSN
ISSN-E 2501-059X
google scholar link
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