非定常熱伝導問題に対するPTI法の適用 : PTI法の精度および実用性の検討(熱工学,内燃機関,動力など)

概要

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A new numerical scheme, precise time integration (PTI) method was applied to unsteady heat conduction problems. The algorithm of the PTI method and the way to create coefficient matrices and vectors for the unsteady heat conduction problems were described in detail in this paper. The comparison between the PTI and the ordinary finite difference methods showed that the PTI method's solutions for one and two-dimensional heat conduction problems were more accurate than those of ordinary methods for a wide range of mesh Fourier number f. The comparison also showed that the PTI method needed larger memory capacity and longer time for calculations than the ordinary methods did.
一般社団法人日本機械学会の論文
2004-06-25