Coupled Two-Dimensional Surface Flow and Three-Dimensional Subsurface Flow Modeling for Drainage of Permeable Road Pavement

2016 ◽  
Vol 21 (12) ◽  
pp. 04016051 ◽  
Author(s):  
Xiaofeng Liu ◽  
Yunxiang Chen ◽  
Chaopeng Shen
1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).


2015 ◽  
Vol 2015 (0) ◽  
pp. _J0530402--_J0530402-
Author(s):  
Tasuku MATSUNO ◽  
Yasunari KAMADA ◽  
Takao MAEDA ◽  
Junsuke MURATA ◽  
Phengpom TINNAPOB ◽  
...  

2013 ◽  
Vol 709 ◽  
pp. 495-498
Author(s):  
Shi Bin Liu ◽  
Cheng Wang ◽  
Yan Ping Yang ◽  
Xing Yan Liu

this thesis puts forward the idea of using the searching method to retrieve two kinds of data points of the circle and the square to generate DEM data of the collected discrete points by means of using C# language and OpenGL DLL, thus realizing the visualization of the three-dimensional virtual terrain from contours on the two-dimensional surface. This thesis makes a comparison and analysis of the visualization effect which indicates that this algorithm is quick and effective. This research has a certain reference value for the formation of the virtual battlefield terrain.


AIChE Journal ◽  
2016 ◽  
Vol 62 (12) ◽  
pp. 4186-4192 ◽  
Author(s):  
Miao Yang ◽  
Jingjun Wu ◽  
Hao Bai ◽  
Tao Xie ◽  
Qian Zhao ◽  
...  

1995 ◽  
Vol 117 (3) ◽  
pp. 385-393 ◽  
Author(s):  
Min S. Hong ◽  
Kornel F. Ehmann

An attempt is made to characterize and synthesize engineered surfaces. The proposed method, based on two-dimensional difference equations and two-dimensional linear autoregressive models, is not only an analytical tool to characterize but also to generate/synthesize three-dimensional surfaces with desired properties. The developed method expresses important three-dimensional surface characteristics such as the autocorrelation or power spectrum density functions in terms of the two-dimensional autoregressive coefficients.


2021 ◽  
Vol 929 ◽  
Author(s):  
Connor E. Toppings ◽  
Serhiy Yarusevych

The three-dimensional flow topology of a laminar separation bubble forming on the suction surface of a semispan wing with an aspect ratio of $2.5$ and NACA 0018 airfoil section is characterised experimentally using surface pressure measurements and particle image velocimetry at a chord Reynolds number of $125\ 000$ . In the inboard region of the wing, the separation bubble is essentially two-dimensional, and the transition process in the separated shear layer leads to periodic vortex shedding, which dominates the bubble dynamics, similar to two-dimensional separation bubbles. However, progressive spanwise changes in the mean structure and vortex dynamics occur near the wingtip, leading to an open separation and eventual suppression of the bubble. In the immediate proximity of the wingtip, the boundary layer remains attached, no vortex shedding occurs and the flow remains laminar, terminating separation bubble formation. Despite variations in the mean separation bubble topology and vortex dynamics along the span, the fundamental shedding characteristics remain nearly invariant across the portion of the wing where vortex shedding occurs, and the flow appears to lock onto a common instability mode across the span, leading to minimal changes in the mean bubble characteristics despite notable changes in the effective angle of attack along the span. A comparison with available surface flow visualisations from previous studies indicates that the observed changes to the mean bubble footprint along the span of the wing are similar across different geometries and flow characteristics, suggesting similarities in the three-dimensional bubble topology and dynamics on finite wings.


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