2024年06月17日 星期一 登录 EN

学术活动
Multirate partially explicit scheme for multiscale flow problems
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报告人:
Yating Wang, Assistant Professor, The University of Hong Kong
邀请人:
Xu Wang, Associate Professor
题目:
Multirate partially explicit scheme for multiscale flow problems
时间地点:
16:00-17:00 April 14(Thursday)
摘要:

For time-dependent problems with high-contrast multiscale coefficients, the time step size for explicit methods is affected by the magnitude of the coefficient parameter. With a suitable construction of multiscale space, one can achieve a stable temporal splitting scheme where the time step size is independent of the contrast. Consider the parabolic equation with heterogeneous diffusion parameter, the flow rates vary significantly in different regions due to the high-contrast features of the diffusivity. In this talk, we aim to introduce a multirate partially explicit splitting scheme to achieve efficient simulation with the desired accuracy. We first design multiscale subspaces to handle flow with different speeds. Then a multirate time stepping is introduced for the partially explicit scheme. The stability of the multirate methods is analyzed for the partially explicit scheme. An adaptive local temporal refinement algorithm is then proposed to achieve higher computational efficiency.