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Thermal Sciences 2004. Proceedings of the ASME - ZSIS International Thermal Science Seminar II
June, 13-16, 2004, Bled, Slovenia

DOI: 10.1615/ICHMT.2004.IntThermSciSemin


ISBN Print: 978-9-61913-930-1

A Matrix-free Implicit Algorithm for Modeling Non-Linear Heat Transfer on Hybrid Unstructured Grids

pages 793-797
DOI: 10.1615/ICHMT.2004.IntThermSciSemin.990
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Краткое описание

The simulation of industrial heat conduction problems which involve non-linear material properties and intricate geometries necessitate the use of a hybrid unstructured type simulation tool which offers a high degree of computational efficiency. This paper details a matrix-free implicit solution algorithm for the solution of non-linear heat conduction on hybrid unstructured meshes. Spatial discretization is achieved via an edge-based vertex-centered finite volume technique while implicit temporal discretization is employed. The resulting system of equations is Newton-linearised where analytical expressions for the Jacobian terms are employed and solved via a preconditioned Generalized Minimal Residual (GMRES) algorithm. Lower-upper symmetric Gauss-Seidel (LU-SGS) is employed as a preconditioner, which ensures the matrix-free nature of the solution procedure. Computational performance is evaluated by comparison with non-preconditioned GMRES as well as an explicit solution procedure with local time-stepping. Significant reductions in computational costs are demonstrated.

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