Accuracy and stability analysis of a second-order time-accurate loosely coupled partitioned algorithm for transient conjugate heat transfer problems

2013 ◽  
Vol 74 (2) ◽  
pp. 113-133 ◽  
Author(s):  
V. Kazemi-Kamyab ◽  
A. H. van Zuijlen ◽  
H. Bijl
Keyword(s):  
Heat Transfer ◽  
Stability Analysis ◽  
Conjugate Heat Transfer ◽  
Second Order ◽  
Loosely Coupled ◽  
Transfer Problems ◽  
Accuracy And Stability

A Meshless Finite Difference Method for Conjugate Heat Conduction Problems

2009 ◽  
Author(s):  
Chandrashekhar Varanasi ◽  
Jayathi Y. Murthy ◽  
Sanjay Mathur
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Conjugate Heat Transfer ◽  
Sparse Matrix ◽  
Complex Geometries ◽  
Meshless Finite Difference Method ◽  
Transfer Problems

In recent years, there has been a great deal of interest in developing meshless methods for computational fluid dynamics (CFD) applications. In this paper, a meshless finite difference method is developed for solving conjugate heat transfer problems in complex geometries. Traditional finite difference methods (FDMs) have been restricted to an orthogonal or a body-fitted distribution of points. However, the Taylor series upon which the FDM is based is valid at any location in the neighborhood of the point about which the expansion is carried out. Exploiting this fact, and starting with an unstructured distribution of mesh points, derivatives are evaluated using a weighted least squares procedure. The system of equations that results from this discretization can be represented by a sparse matrix. This system is solved with an algebraic multigrid (AMG) solver. The implementation of Neumann, Dirichlet and mixed boundary conditions within this framework is described, as well as the handling of conjugate heat transfer. The method is verified through application to classical heat conduction problems with known analytical solutions. It is then applied to the solution of conjugate heat transfer problems in complex geometries, and the solutions so obtained are compared with more conventional unstructured finite volume methods. Metrics for accuracy are provided and future extensions are discussed.

Streamline upwind finite element method for conjugate heat transfer problems

2005 ◽  
Vol 21 (5) ◽  
pp. 436-443 ◽  
Author(s):  
Niphon Wansophark ◽  
Atipong Malatip ◽  
Pramote Dechaumphai
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Conjugate Heat Transfer ◽  
Transfer Problems ◽  
Element Method
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