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Finite Volume Method—Convection-Diffusion Problems
2017This chapter is an extension of the previous one on diffusion-convection. The treatment is again using one dimensional finite volume method and closed form solutions.
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Modelling Methodologies for Convection-Diffusion Phase-Change Problems
2004In recent years numerical simulation of phase-change problems have attracted much interest due to their significance for several technological process. Melting and solidification are typical examples of phase change met in the metallurgical industries or crystal growth technology. These processes involve complex phenomena of mass and heat transfer that
STELLA, Fulvio, GIANGI, Marilena
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Spectral element approximation of convection–diffusion type problems
Applied Numerical Mathematics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discretisations of Reaction-Convection-Diffusion Problems
2009This chapter is concerned with discretisations of the stationary linear reaction- 4 convection-diffusion problem $$ - \varepsilon _d u^ - \varepsilon _c bu + cu = f\text{ in (0,1), }u(0) = \gamma _0 ,u(1) = \gamma _1 ,$$ with b ≥ 1 and c ≥ 1 on [0, 1].
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Schwarz alternating algorithms for a convection–diffusion problem
Applied Mathematics and Computation, 2005The author develops an upwind difference scheme for a convection diffusion problem using piecewise equidistant meshes which exhibit uniform convergence in the perturbation parameter. An estimation of convergence and a decomposition algorithm on overlapping subdomains are discussed and developed. A number of numerical experiments is also presented.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
ENO Schemes for Convection-Diffusion Problems
1997In the paper an investigation of high-order accuracy ENO schemes is presented. Such schemes allow a high-order spatial discretization by means of a piece-wise polynomial interpolation of the numerical solution; ENO reconstruction, based on adaptive stencils, avoids Gibb-like phenomena near discontinuities of the solution, and lead to a scheme well ...
Broglia, RiccardoFavini, Bernardo
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Recent advances in computational-analytical integral transforms for convection-diffusion problems
Heat and Mass Transfer, 2017Renato Machado Cotta +5 more
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