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A ‘characteristic’ finite element scheme for convective‐dispersive transport with non‐equilibrium reaction
Author(s) -
Fujinawa K.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230612
Subject(s) - finite element method , scheme (mathematics) , convection , mixed finite element method , mathematics , extended finite element method , mechanics , mathematical analysis , physics , thermodynamics
A finite element method coupled with the method of characteristics is applied to the problem of convective‐dispersive transport with non‐equilibrium reaction. Convective terms are calculated using moving particles together with influence element meshes for particle tracking, whereas dispersion terms are calculated by means of finite element techniques. The contribution from the term of non‐equilibrium reaction is incorporated into the algebraic equations by the use of analytical solutions to the equation of non‐equilibrium reaction for each time step and extended Simpson's numerical integrations. Comparison of the numerical results from the proposed procedure with analytical solutions to the simultaneous partial differential equations shows good agreement for the wide spectrum ranging from dispersion‐ to convection‐dominated transport with various reaction parameters.