An implicit finite volume discretization for the multidimensional numerical simulation of TiC combustion synthesis (Q2493755)
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| Language | Label | Description | Also known as |
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| English | An implicit finite volume discretization for the multidimensional numerical simulation of TiC combustion synthesis |
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An implicit finite volume discretization for the multidimensional numerical simulation of TiC combustion synthesis (English)
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16 June 2006
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Mathematical modelling of the self-propagating high temperature synthesis process is based upon a coupling between a parabolic PDE for enthalpy balance and a differential equation for the exothermic chemical kinetics. The FVM is well suited for the discretization of PDEs written in conservation form. So, authors construct the implicit -- backward Euler-finite-volume scheme and establish an error estimate for the discrete approximation of the reaction-diffusion equation. Numerous simulations in one and two spatial dimensions are presented.
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