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
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.