Finite volume method analysis of heat transfer problem using adapted strongly implicit procedure

In most issues representing physical problems, the complex geometry cannot be represented by a Cartesian grid. The multi-block grid technique allows artificially reducing the complexity of the geometry by breaking down the real domain into a number of sub-domains with simpler geometry. The main aim...

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Vydáno v:	Journal of mechanical science and technology Ročník 23; číslo 6; s. 1553 - 1562
Hlavní autoři:	Rouboa, Abel, Monteiro, Eliseu, de Almeida, Regina
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Heidelberg Korean Society of Mechanical Engineers 01.06.2009 Springer Nature B.V 대한기계학회
Témata:	Analytical and numerical techniques Complexity Computation Computational techniques Condensed matter: structure, mechanical and thermal properties Control Coordinates Cross sections Dynamical Systems Engineering Equations of state, phase equilibria, and phase transitions Exact sciences and technology Factorization Finite volume method Fundamental areas of phenomenology (including applications) Geometry Heat transfer Industrial and Production Engineering Mathematical methods in physics Mechanical Engineering Physics Solid-liquid transitions Solidification Solvers Specific phase transitions Studies Vibration 기계공학 Strongly implicit procedure Curvilinear coordinates Multi-block grid Heat transfer Jacobi method Gauss method Finite volume methods Solidification Temperature effects Multigrid Factorization method Modelling Iterative methods Domain decomposition Gauss Seidel method Cartesian coordinates
ISSN:	1738-494X, 1976-3824
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Popis
Shrnutí:	In most issues representing physical problems, the complex geometry cannot be represented by a Cartesian grid. The multi-block grid technique allows artificially reducing the complexity of the geometry by breaking down the real domain into a number of sub-domains with simpler geometry. The main aim of this article is to show the usefulness of simple solvers in complex geometry problems, when using curvilinear coordinates combined with multi-block grids. This requires adapted solvers to a nine nodes computational cell instead of the five nodes computational cell used with Cartesian coordinates for two-dimensional cases. These developments are presented for the simple iterative methods Jacobi and Gauss-Seidel and also for the incomplete factorization method strongly implicit procedure (SIP). These adapted solvers are tested in two cases: a simple geometry (heat transfer in a circular cross-section) and a complex geometry (solidification case). Results of the simple geometry case show that all the adapted solvers have good performance with a slight advantage for the SIP solver. For increasing the complexity of the geometry, the results showed that Jacobi and Gauss-Seidel solvers are not suitable. However, the SIP method has a reasonable performance. A conclusion could be drawn that the SIP method could be used in complex geometry problems using multi-block grid technique when high precision results are not required.
Bibliografie:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 G704-000058.2009.23.6.001
ISSN:	1738-494X 1976-3824
DOI:	10.1007/s12206-009-0423-3