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Conservative and nondispersive schemes for diffusion terms with strong property variations

Santiago, K. F. S. ; de B. Alves, L. S.

Numerical heat transfer. Part B, Fundamentals, 2017-02, Vol.71 (2), p.133-145 [Periódico revisado por pares]

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Título:
Conservative and nondispersive schemes for diffusion terms with strong property variations
Autor: Santiago, K. F. S. ; de B. Alves, L. S.
Assuntos: Construction costs ; Diffusion ; Discretization ; Error analysis ; Heat transfer ; Mathematical analysis ; Mathematical models ; Time measurement ; Tolerances
É parte de: Numerical heat transfer. Part B, Fundamentals, 2017-02, Vol.71 (2), p.133-145
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: The spatial discretization of diffusion terms leads to a theoretical order loss, specially in the presence of strong property and variable gradients. New conservative and nondispersive numerical schemes are proposed to circumvent this issue. Their spectral resolution, numerical order, and cost are evaluated and compared to traditional finite volume and difference schemes. Cost is measured through the computer time and memory it takes these schemes to reach a user-prescribed error tolerance. A manufactured test case is constructed to evaluate these characteristics. Its analysis shows that the new schemes are more cost-effective than traditional schemes under the conditions analyzed.
Editor: Philadelphia: Taylor & Francis
Idioma: Inglês

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