中国机械工程Issue(4)：441-445,5.DOI:10.3969/j.issn.1004132X.2015.04.003
偏微分方程与微分代数方程的一致求解方法
Consistent Solving Method of PDE and DAE
摘要
Abstract
compModelica is a multi-domain unified modeling language for modeling and simulation of large andof PDlex physical systems.However,it dealt only with DAE but not with PDE.A consistent solving methodE and DAE was proposed.The PDE was transferred into a series of DAEs with the meshless method of dradial basis function collocation,and was solved by the mature DAE solver in MWorks platform based on Mo-delica.Results show that this consistent solving method realizes the consistent solution of PDE and DAE un-ber the premise of not changing Modelica grammar,and has high accuracy and the convenience of dealing witha oundary conditions,which is conducive to solve complex engineering systems with multi-domain couplingnd time domain and space domain coupling.关键词
多领域统一建模/Modelica/偏微分方程(PDE)/微分代数方程(DAE)Key words
entiaKey words:multi-domain unified modeling/Modelica/partial differential equation (PDE)/differ-l-algebraic equation (DAE)分类
机械制造引用本文复制引用
李志华,喻军,杨红光..偏微分方程与微分代数方程的一致求解方法[J].中国机械工程,2015,(4):441-445,5.基金项目
国家自然科学基金资助项目(51275141) （51275141）
浙江省自然科学基金资助项目(Y1100901) （Y1100901）
