Stochastic simulation of magnetically controlled convection in porous media with random porosity via Karhunen-Lo`eve expansion and intrusive polynomial chaos expansion
National Natural Science Foundation of China [11572056, 52208094]; Natural Science Foundation of Hunan Province, China [2022JJ30603]
机构署名：
本校为第一且通讯机构
院系归属：
能源与动力工程学院
摘要：
Understanding and quantifying uncertainty factors are crucial for accurately predicting thermomagnetic convection phenomena. This study presented a mathematical model and algorithm framework for uncertainty analysis of thermomagnetic convection in porous media with random porosity. The proposed method combined Karhunen-Loe`ve expansion and intrusive polynomial chaos expansion to represent the input random parameters and output response, respectively. The Galerkin projection method was employed to decouple the stochastic governing equations of thermomagnetic convection into deterministic govern...
