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Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations

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Numerical Mathematics and Advanced Applications ENUMATH 2019

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 139))

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Abstract

The physical modeling of transport in multi-component mixtures results in systems of coupled equations for the mass fractions. This contribution discusses the mathematical structure of such transport systems and presents a novel approximation scheme for the associated mass fluxes. The scheme respects the coupled nature of the equations and allows for a linearized source term. An illustrative example is presented.

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Correspondence to J. van Dijk .

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Dijk, J.v., Gestel, R.A.M.v., Schoutrop, C.E.M., Boonkkamp, J.H.M.t.T. (2021). Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_30

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