Integrated Two-Dimensional Surface and Three-Dimensional Subsurface Contaminant Transport Model Considering Soil Erosion and Sorption

2009 ◽  
Vol 135 (12) ◽  
pp. 1028-1040 ◽  
Author(s):  
Zhiguo He ◽  
Weiming Wu ◽  
Sam S. Y. Wang
Keyword(s):  
Soil Erosion ◽  
Contaminant Transport ◽  
Transport Model ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Dimensional Surface

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

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).

scholarly journals Generalizing Source Geometry of Site Contamination by Simulating and Analyzing Analytical Solution of Three-Dimensional Solute Transport Model

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xingwei Wang ◽  
Jiajun Chen ◽  
Hao Wang ◽  
Jianfei Liu
Keyword(s):  
Solute Transport ◽  
Contaminant Transport ◽  
Transport Model ◽  
Three Dimensional ◽  
Fate And Transport ◽  
Source Area ◽  
Equation Model ◽  
Plume Migration ◽  
Advective Diffusion ◽  
Source Geometry

Due to the uneven distribution of pollutions and blur edge of pollutant area, there will exist uncertainty of source term shape in advective-diffusion equation model of contaminant transport. How to generalize those irregular source terms and deal with those uncertainties is very critical but rarely studied in previous research. In this study, the fate and transport of contaminant from rectangular and elliptic source geometry were simulated based on a three-dimensional analytical solute transport model, and the source geometry generalization guideline was developed by comparing the migration of contaminant. The result indicated that the variation of source area size had no effect on pollution plume migration when the plume migrated as far as five times of source side length. The migration of pollution plume became slower with the increase of aquifer thickness. The contaminant concentration was decreasing with scale factor rising, and the differences among various scale factors became smaller with the distance to field increasing.

Algorithm of Hardy Function Interpolation and its Visualization in the Formation of the Virtual Battlefield Terrain

2013 ◽  
Vol 709 ◽  
pp. 495-498
Author(s):  
Shi Bin Liu ◽  
Cheng Wang ◽  
Yan Ping Yang ◽  
Xing Yan Liu
Keyword(s):  
Three Dimensional ◽  
Reference Value ◽  
Two Dimensional ◽  
C Language ◽  
Hardy Function ◽  
Data Points ◽  
Comparison And Analysis ◽  
Searching Method ◽  
Dimensional Surface

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.

A Transport Model for the Deterministic Stresses Associated With Turbomachinery Blade Row Interactions

2000 ◽  
Vol 122 (4) ◽  
pp. 593-603 ◽  
Author(s):  
Allan G. van de Wall ◽  
Jaikrishnan R. Kadambi ◽  
John J. Adamczyk
Keyword(s):  
Turbine Blade ◽  
Transport Model ◽  
Three Dimensional ◽  
Tip Clearance ◽  
Two Dimensional ◽  
Mean Flow ◽  
Viscous Effects ◽  
Vortical Structures ◽  
Blade Row ◽  
The Mean

The unsteady process resulting from the interaction of upstream vortical structures with a downstream blade row in turbomachines can have a significant impact on the machine efficiency. The upstream vortical structures or disturbances are transported by the mean flow of the downstream blade row, redistributing the time-average unsteady kinetic energy (K) associated with the incoming disturbance. A transport model was developed to take this process into account in the computation of time-averaged multistage turbomachinery flows. The model was applied to compressor and turbine geometry. For compressors, the K associated with upstream two-dimensional wakes and three-dimensional tip clearance flows is reduced as a result of their interaction with a downstream blade row. This reduction results from inviscid effects as well as viscous effects and reduces the loss associated with the upstream disturbance. Any disturbance passing through a compressor blade row results in a smaller loss than if the disturbance was mixed-out prior to entering the blade row. For turbines, the K associated with upstream two-dimensional wakes and three-dimensional tip clearance flows are significantly amplified by inviscid effects as a result of the interaction with a downstream turbine blade row. Viscous effects act to reduce the amplification of the K by inviscid effects but result in a substantial loss. Two-dimensional wakes and three-dimensional tip clearance flows passing through a turbine blade row result in a larger loss than if these disturbances were mixed-out prior to entering the blade row. [S0889-504X(00)01804-3]

Controlling three-dimensional ice template via two-dimensional surface wetting

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

Three-Dimensional Surface Characterization by Two-Dimensional Autoregressive Models

1995 ◽  
Vol 117 (3) ◽  
pp. 385-393 ◽  
Author(s):  
Min S. Hong ◽  
Kornel F. Ehmann
Keyword(s):  
Surface Characterization ◽  
Three Dimensional ◽  
Surface Characteristics ◽  
Analytical Tool ◽  
Autoregressive Models ◽  
Density Functions ◽  
Two Dimensional ◽  
Engineered Surfaces ◽  
Spectrum Density ◽  
Dimensional Surface

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.

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