The robust finite-volume schemes for modeling nonclassical surface reactions | Zendy

Raimondas Čiegis | Zendy; Pranas Katauskis | Zendy; V. Skakauskas | Zendy

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The robust finite-volume schemes for modeling nonclassical surface reactions

Author(s) -

Raimondas Čiegis,

Pranas Katauskis,

V. Skakauskas

Publication year - 2018

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2018.2.6

Subject(s) - surface (topology) , finite volume method , volume (thermodynamics) , computer science , mathematics , physics , mechanics , geometry , thermodynamics

A coupled system of nonlinear parabolic PDEs arising in modeling of surface reactions with piecewise continuous kinetic data is studied. The nonclassic conjugation conditions are used at the surface of the discontinuity of the kinetic data. The finite-volume technique and the backward Euler method are used to approximate the given mathematical model. The monotonicity, conservativity, positivity of the approximations are investigated by applying these finite-volume schemes for simplified subproblems, which inherit main new nonstandard features of the full mathematical model. Some results of numerical experiments are discussed.

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