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|Type:||Artigo de periódico|
|Title:||A Unified Finite-volume Finite-differencing Exponential-type Scheme For Convective-diffusive Fluid Transport Equations|
|Abstract:||This paper presents a new discretization scheme for the convective-diffusive transport equation of heat, mass or momentum in fluid media, constructed within the control-volume approach for both regular or irregularly spaced rectangular meshes. The present scheme shares with others, such as LOADS and Flux-Spline, the kind of exponential interpolating curve, obtained as the exact solution of an approximated equation that admits a so called source term. To compute this term the present scheme incorporates Allen 's finite difference approach into the finite volume method. The resulting procedure was called Unified Finite Approach Exponential-Based Scheme, UNIFAES. It is a conservative form scheme much simpler than both LOADS and Flux-Spline. The scheme is submitted to a series of tests in the linear problem of convection and diffusion of a scalar in a parallel flow, where it is compared to the central differencing, to the exponential scheme and to LOADS, showing excellent accuracy for all function types and unconditional stability for all Peclet numbers.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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