TY - GEN
T1 - Multi-level boundary element methods for steady heat diffusion in three-dimensions
AU - Grigoriev, M. M.
AU - Dargush, G. F.
PY - 2005
Y1 - 2005
N2 - We have recently developed a novel multi-level boundary element method (MLBEM) for steady heat diffusion in irregular two-dimensional domains (Numerical Heat Transfer, B: Fundamentals, 46: 329-356, 2004). This presentation extends the MLBEM methodology to three-dimensional problems. First, we outline a 3-D MLBEM formulation for steady heat diffusion and discuss the differences between multi-level algorithms for two and three dimensions. Then, we consider an example problem that involves heat conduction in a semi-infinite three-dimensional domain. We investigate the performance of the MLBEM formulation using a single-patch approach. The MLBEM algorithms are shown facilitate fast and accurate numerical solutions with no loss of the solution accuracy. More dramatic speed-ups can be achieved provided that patch-edge corrections are also evaluated using multi-level technique.
AB - We have recently developed a novel multi-level boundary element method (MLBEM) for steady heat diffusion in irregular two-dimensional domains (Numerical Heat Transfer, B: Fundamentals, 46: 329-356, 2004). This presentation extends the MLBEM methodology to three-dimensional problems. First, we outline a 3-D MLBEM formulation for steady heat diffusion and discuss the differences between multi-level algorithms for two and three dimensions. Then, we consider an example problem that involves heat conduction in a semi-infinite three-dimensional domain. We investigate the performance of the MLBEM formulation using a single-patch approach. The MLBEM algorithms are shown facilitate fast and accurate numerical solutions with no loss of the solution accuracy. More dramatic speed-ups can be achieved provided that patch-edge corrections are also evaluated using multi-level technique.
KW - 3D formulations
KW - Boundary element methods
KW - Fast algorithms
KW - Steady heat diffusion
UR - https://www.scopus.com/pages/publications/33645666814
U2 - 10.1115/IMECE2005-81884
DO - 10.1115/IMECE2005-81884
M3 - Conference contribution
AN - SCOPUS:33645666814
SN - 0791842215
SN - 9780791842218
T3 - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
SP - 183
EP - 190
BT - Proceedings of the ASME Heat Transfer Division 2005
T2 - 2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005
Y2 - 5 November 2005 through 11 November 2005
ER -