On the numerical solution of the one-dimensional convection-diffusion equation.
Dehghan, Mehdi (2005)
Mathematical Problems in Engineering
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Dehghan, Mehdi (2005)
Mathematical Problems in Engineering
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Khassehkhan, Hassan, Eberl, Hermann J. (2008)
Computational & Mathematical Methods in Medicine
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Mulolani, I., Rahman, M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Aouadi, Moncef (2006)
International Journal of Mathematics and Mathematical Sciences
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Ulrich Maas (1995)
Applications of Mathematics
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During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple...
Daniela Mansutti, Edoardo Bucchignani (2011)
Applications of Mathematics
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We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid...