401 A fundamental research of Multi-Resolution MPS Method

Heat Transfer and Solidification Analysis Using Adaptive Resolution Particle Method

“…The volume-based modified weight function (eq. (4)) has different reach of interaction according to the reference element size, r 0,i and such difference caused a loss of heat balance as mentioned by Tanaka et al 2) Figure 3(b) shows the results with consideration of heat resistance at the interface. The error was larger than that without heat resistance.…”

“…If a smaller element is in the interaction area of a larger element, the lower limit of the element size should be 1/c k of the size of the larger element. This problem will be further improved by another method proposed by Tanaka et al, 2) who have tried to improve the interaction model and calculation efficiency of the flow analysis.…”

“…However a computational time of the particle method tends to be longer than the conventional methods using calculation lattice, because the particle method must search neighboring elements constantly. On the other hand, multi-resolution 2) and multi-physical 3) model can be adopted easily compared with the other conventional method. Therefore the particle method is considered suitable to simulate complex and combined phenomena in the casting process.…”

“…Tanaka et al have developed a multi-resolution particle method. 2) They had modified the weight function for the flow analysis, and reported that the modified function enables to conduct flow analysis using elements having various size simultaneously, showing the weight function improves calculation efficiency. Hirata et al had conducted a heat transfer and solidification simulation using the particle method using uniform size elements.…”