延边大学学报:自然科学版
延邊大學學報:自然科學版
연변대학학보:자연과학판
Journal of Yanbian University:Natural Science
2011年
4期
311-315
,共5页
降阶模型%CVT%POD%Burgers方程
降階模型%CVT%POD%Burgers方程
강계모형%CVT%POD%Burgers방정
reduced-order modeling%CVT%POD%the Burgers equation
基于CVOD方法研究了Burgers方程的降阶模型.利用以有限元方法得到的数值结果,比较了CVOD与POD算法间的差异性.结果表明,虽然在精确度方面2种算法差别不大,但CVOD比POD算法更加灵活,而且对小的基其相对误差更为均匀.
基于CVOD方法研究瞭Burgers方程的降階模型.利用以有限元方法得到的數值結果,比較瞭CVOD與POD算法間的差異性.結果錶明,雖然在精確度方麵2種算法差彆不大,但CVOD比POD算法更加靈活,而且對小的基其相對誤差更為均勻.
기우CVOD방법연구료Burgers방정적강계모형.이용이유한원방법득도적수치결과,비교료CVOD여POD산법간적차이성.결과표명,수연재정학도방면2충산법차별불대,단CVOD비POD산법경가령활,이차대소적기기상대오차경위균균.
We study reduced-order modeling for the Burgers equation by using the method of CVOD(centroidal Voronoi tessellation based proper orthogonal decomposition). The differences between CVOD and POD (proper orthogonal decomposition) are compared with the numerical results obtained from the finite element method. The results show that the accuracy of the two algorithms have little difference, but the CVOD is more flexible than the POD, and the relative error of the CVOD is more uniform on a small base.