科教文汇
科教文彙
과교문회
EDUCATION SCIENCE & CULTURE MAGAZINE
2014年
19期
42-43
,共2页
宫伟力%彭岩岩%王文聪%崔超杰%史月
宮偉力%彭巖巖%王文聰%崔超傑%史月
궁위력%팽암암%왕문총%최초걸%사월
张量%结构%流体力学%阶数%维数
張量%結構%流體力學%階數%維數
장량%결구%류체역학%계수%유수
tensor%structure%fluid mechanics%order%dimension
大学本科力学专业的流体力学课程涉及大量的张量分析知识。深入认识张量结构,对学好流体力学具有重要的意义。作者在流体力学课程教学中,提出利用集合及传承性思想来解释张量,并给出三阶张量的拓扑结构以及张量的维数与阶数的结构意义。通过认识三阶张量的结构,学生能够深刻理解流体力学中张量代表的复杂行为,并且能调动学生思维积极性。最终能够提高学生对流体力学学习的兴趣与信心。
大學本科力學專業的流體力學課程涉及大量的張量分析知識。深入認識張量結構,對學好流體力學具有重要的意義。作者在流體力學課程教學中,提齣利用集閤及傳承性思想來解釋張量,併給齣三階張量的拓撲結構以及張量的維數與階數的結構意義。通過認識三階張量的結構,學生能夠深刻理解流體力學中張量代錶的複雜行為,併且能調動學生思維積極性。最終能夠提高學生對流體力學學習的興趣與信心。
대학본과역학전업적류체역학과정섭급대량적장량분석지식。심입인식장량결구,대학호류체역학구유중요적의의。작자재류체역학과정교학중,제출이용집합급전승성사상래해석장량,병급출삼계장량적탁복결구이급장량적유수여계수적결구의의。통과인식삼계장량적결구,학생능구심각리해류체역학중장량대표적복잡행위,병차능조동학생사유적겁성。최종능구제고학생대류체역학학습적흥취여신심。
The subject of the Fluid Mechanics for the undergrad-uates in the engineering specialty involves a great deal of the knowledge of tensor analysis. An in-depth insight into the ten-sor's structures is important for an in-depth learning of the fluid mechanics. The set and generic theory was used in the author's teaching for description of tensors and explanation of the meaning of the dimension and order for the tensor. Better understanding of the complex behavior represented by the tensor was achieved through observation of the structures of the third order tensor. The proposed method contributes to inspire the student's minds, en-hance the interest and confidence in learning of the fluid me-chanics.