一、题目:
A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations
二、主讲人:
唐敏
三、摘要:
The opacity of FRTE depends on not only the material temperature but also the frequency, whose values may vary several orders of magnitude for different frequencies. The gray radiation diffusion and frequency-dependent diffusion equations are two simplified models that can approximate the solution to FRTE in the thick opacity regime. The frequency discretization for the two limit models highly affects the numerical accuracy. However, classical frequency discretization for FRTE considers only the absorbing coefficient. In this paper, we propose a new decomposed multi-group method for frequency discretization that is not only AP in both gray radiation diffusion and frequency-dependent diffusion limits, but also the frequency discretization of the limiting models can be tuned. Based on the decomposed multi-group method, a full AP scheme in frequency, time, and space is proposed. Several numerical examples are used to verify the performance of the proposed scheme.
四、主讲人简介:
唐敏,2008年清华大学数学科学学院博士毕业,2008-2011先后在法国图卢兹三大和巴黎六大博后,2011年加入上海交通大学任特别研究员,2018年任上海交通大学自然科学研究院,数学学院教授。
五、邀请人:
芮洪兴 施意
六、时间:
3月29日(周三)9:00-10:00
七、地点:
腾讯会议
八、联系人:
施意,联系方式:shiyi@sdu.edu.cn
九、主办:
山东大学数学学院