边界元法在带可动边界的瞬时热传导问题中的应用

Time-Space Boundary Element Method for Transient Heat Conduction with Moving Boundary

该文利用边界无法对二维瞬时传热和相变问题进行求解。采用空间二次曲线单元对边界进行离散化,并采用时间相关基本解正确处理了相应边界积分。计算表明该文数值格式稳定,结果与已有文献相比较吻合一致,且该文模式时段可放大,从而提高了计算效能和稳定性。

In this paper,a new boundary ingegral equation scheme is presented for the solution of some two-dimensional phase change problems. Using weighted residual technique,a general formulation based on space-time Green's functions is developed. Then a descritized system is-constructed,featuring quadratic interpolation over space and linear interpolation over time. The time-dependent fundamental solution is introduced together with its time and boundary inge-gration treatment. Several typical numerical examples are included to demonstrate the accuracy and stability of the numerical BEM model.