The primary studies in this paper are the following : ( 1 ) we define a generalized alexandroff topology on an l - fuzzy quasi ordered set which is a generalization of the alexandroff topology on an ordinary quasi ordered set, prove that the generalized alexandroff topology on an l - quasi ordered set ( x, e ) can be obtained by the join of a family of the alexandroff topologies on it, a topology on any topological space can be represented as a generalized alexandroff topology on some l - quasi ordered set, and the generalized alexandroff topologies on l - fuzzy quasi ordered sets are generalizations of the generalized alexandroff topologies on generalized ultrametric spaces which are defined by j. j. m. m. rutten etc. ( 2 ) by introducing the concepts of the join of l - fuzzy set on an l - fuzzy partial ordered set with respect to the l - fuzzy partial order and l - fuzzy directed set on an l - fuzzy quasi ordered set ( with respect to the l - fuzzy quasi order ), we define l - fuzzy directed - complete l - fuzzy partial ordered set ( or briefly, l - fuzzy dcpo or l - fuzzy domain ) and l - fuzzy scott continuous mapping, prove that they are respectively generalizations of ordinary dcpo and scott continuous mapping, when l is a completely distributive lattice with order - reversing involution, the category l - fdom of l - fuzzy domains and l - fuzzy scott continuous mappings is isomorphic to a special kind of the category of v - domains and scott continuous mappings, that is, the category l - dcqum of directed - complete l - quasi ultrametric spaces and scott continuous mappings, and when l is a completely distributive lattice in which 1 is a molecule, l - fuzzy domains and l - fuzzy scott continuous mappings are consistent to directed lim inf complete categories and lim inf co ntinuous mappings in [ 59 ]
本文主要工作是: ( 1 )在l - fuzzy
擬序集上定義廣義alexandroff拓撲,證明了它是通常
擬序集上alexandroff拓撲的推廣,一個l - fuzzy
擬序集( x , e )上的廣義alexandroff拓撲可以由其上一族alexandroff拓撲取並得到,任意一個拓撲空間的拓撲都可以表示為某個l - fuzzy
擬序集上的廣義alexandroff拓撲,以及l - fuzzy
擬序集上的廣義alexandroff拓撲是j . j . m . m . rutten等定義的廣義超度量空間上廣義alexandroff拓撲的推廣。 ( 2 )通過引入l - fuzzy偏
序集上的l - fuzzy集關于l - fuzzy偏
序的並以及l - fuzzy
擬序集上(關于l - fuzzy
擬序)的l - fuzzy定向集等概念,定義了l - fuzzy定向完備的l - fuzzy偏
序集(簡稱l - fuzzydcpo ,又叫l - fuzzydomain )和l - fuzzyscott連續映射,證明了它們分別是通常的dcpo和scott連續映射的推廣,當l是帶有逆
序對合對應的完全分配格時,以l - fuzzydomain為對象, l - fuzzyscott連續映射為態射的范疇l - fdom同構於一類特殊的v - domain范疇,即以定向完備的l -值
擬超度量空間為對象, scott連續映射為態射的范疇l - dcqum ,以及當l是1為分子的完全分配格時, l - fuzzydomain和l - fuzzyscott連續映射一致於k . wagner在[ 59 ]中定義的定向liminf完備的-范疇和liminf連續映射。
And then simulations of gas - particle two phase plane wake and gas - particle two phase plane jet were carried out by using this model. after numerical simulations of the two flow fields were finished, series of analytical work was done. first, the distribution of time - averaged velocity, turbulence intensity was analyzed, and some of the simulation results were compared with those of the experiments ; the coherent structure of vortices in the near wall region of the plane wake flow were studied by describing the evolution of the eddy structures, including the forming, developing and shedding from the wall of the vortices in the near wall region ; the coherent structure of vortices in the whole field was also studied, such as the forming, developing, moving, pairing and merging of the eddies etc.
在對上述兩種流動形態的二維大渦模
擬研究中,首先全面地分析了氣相時均流場的速度、湍流強度的分佈規律以及氣相速度的脈動規律等並就部分數值模
擬結果與實驗結果進行了對比研究;分析了平面尾跡流場中近壁處旋渦
擬序結構,全面和逼真地反映了近壁處旋渦的生成、發展和脫落的規律;描述分析了平面尾跡流和平面射流的全場流動旋渦
擬序結構,從整個流場的角度反映旋渦的生成、發展、運動以及旋渦之間相互配對、合併的作用規律等。
Les of the coherent structures in two - dimensional turbulent channel flow
二維槽道湍流
擬序結構的大渦模
擬
The typical coherent large scale structures include the single spanwise vortex, the pairing vortexes with same signs, which are similar to the structures in the weak - shearing jet, and the vortex pair composed of two vortexes with opposite signs
典型的
擬序大渦結構包括單個的展向大渦、有相同符號的兩渦組成的配對渦(與弱剪切射流中類似)及由符號相反的兩渦組成的渦對組合。
The results show the moment developing course of flow over flat wall and the evolvement of coherent structure, and also completely simulate all kinds of detail processes in development of boundary layer over flat wall, such as the generation and rise of low - speed stream, the extension and rupture of horse - hoof - shaped vortex and so on
模
擬結果給出了平壁流動的瞬態發展過程以及流動中
擬序結構的發展演變過程,成功地模
擬了平壁邊界層發展中的各種瞬態細節過程,如低速條帶的產生、上舉過程,馬蹄形渦的拉伸變形、破裂過程。
Stratified - convergence and completion on l - preordered sets
擬序集中的層次收斂與完備性
Ideal completion of l - fuzzy quasi ordered set
擬序集的理想完備化
Additionally there is particular analysis on the generation of vortex along span
同時對
擬序結構中展向渦結構的生成進行詳細分析。
Particle dispersion affected by turbulent coherent structures in a three - dimensional mixing layer
三維混合層中湍流
擬序結構對顆粒擴散的影響
In the first part, the focus is put on the fiber distributions in large scale structures controlled flows
一是研究大量纖維在大尺度
擬序結構中的分佈規律。
Diretct numerical simulation in turbulent coherent structures of three - dimensional gas - particle two - phase mixing layer
三維氣固兩相混合層湍流
擬序結構的直接數值模
擬
Bifurcation is a common nonlinear phenomenon and plays an important role in the nonlinear science. in this thesis, we concentrate on analysis and computation of bifurcation. it can be separated as two parts on the whole
分歧是一種常見的非線性現象,並與其它非線性現象(如混沌、湍流、突變、分形、
擬序結構等)密切相關,在非線性科學的研究中佔有重要地位。
Moreover, the problem about the expansion of space is also discussed in this part, and, at the end of this paper, the summary of the basic ideas of poverty measurement, namely the thought of integration and the that of intersection quasi - orderings, is given
此外,本文還討論了貧困度量空間的擴展問題,並總結了貧困度量的基本思想,即整合的思想和交集
擬序的思想。
Through comparison, it can be seen that the turbulent coherent structure near the wall influences directly the striking effect of the bubble and sand. a new proposal is put forward at the end of the thesis that the destruction caused by the combination of cavitation and sand abrasion can be mitigated by means of controlling the turbulent coherent structure near the wall
最後用有關的結論對過去的空蝕與泥沙磨損聯合作用的一些試驗觀測結果進行了定性的分析、評述,並提出通過控制擬序結構的發生以達到控制空泡、沙粒對壁面的沖擊作用是減輕磨蝕破壞的一條新的途徑。