scholarly journals Time Adaptive Numerical Solution of a Highly Degenerate Diffusion–Reaction Biofilm Model Based on Regularisation

2017 ◽  
Vol 74 (2) ◽  
pp. 1060-1090 ◽  
Author(s):  
Maryam Ghasemi ◽  
Hermann J. Eberl
Keyword(s):  
Numerical Solution ◽  
Diffusion Reaction ◽  
Degenerate Diffusion ◽  
Model Based ◽  
Biofilm Model

scholarly journals Numerical solution for an aggregation equation with degenerate diffusion

2020 ◽  
Vol 377 ◽  
pp. 125145
Author(s):  
Roberto Carlos Cabrales ◽  
Juan Vicente Gutiérrez-Santacreu ◽  
José Rafael Rodríguez-Galván
Keyword(s):  
Numerical Solution ◽  
Degenerate Diffusion ◽  
Aggregation Equation

A Doubly Degenerate Diffusion Model Based on the Gray Level Indicator for Multiplicative Noise Removal

2015 ◽  
Vol 24 (1) ◽  
pp. 249-260 ◽  
Author(s):  
Zhenyu Zhou ◽  
Zhichang Guo ◽  
Gang Dong ◽  
Jiebao Sun ◽  
Dazhi Zhang ◽  
...  
Keyword(s):  
Diffusion Model ◽  
Multiplicative Noise ◽  
Noise Removal ◽  
Degenerate Diffusion ◽  
Gray Level ◽  
Level Indicator ◽  
Model Based ◽  
Multiplicative Noise Removal

Testing the generic structure revealed by numerical methods in the family Phytoseiidae (Acarina: Mesostigmata)

1983 ◽  
Vol 61 (4) ◽  
pp. 792-796
Author(s):  
R. I. C. Hansell ◽  
M. A. Gates ◽  
E. S. Eveleigh ◽  
A. Yarranton ◽  
D. A. Chant
Keyword(s):  
Numerical Methods ◽  
Numerical Solution ◽  
Numerical Taxonomy ◽  
Objective Evaluation ◽  
Neutral Model ◽  
Generic Structure ◽  
Model Based ◽  
Divergence Of Opinion ◽  
The Family

There has been extreme divergence of opinion about the generic structure of the family Phytoseiidae. An objective evaluation of this structure, obtained by numerical taxonomy, was tested by the method of creating a neutral model based on species distributed at random in morphological space and sampled from hyperellipsoids having the same boundaries as the postulated genera. The numerical taxonomic solution is substantially supported by this test. Minor subjective taxonomic revisions of the numerical solution showed improvement of fit, indicating that the taxonomist's judgment remains an important part of the process of classification.

scholarly journals Pasternak Model-Based Tunnel Segment Uplift Model of Subway Shield Tunnel during Construction

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Xiang-Ling Tao ◽  
Yun-He Su ◽  
Qi-Yin Zhu ◽  
Wen-Long Wang
Keyword(s):  
Numerical Solution ◽  
Shear Stiffness ◽  
Longitudinal Direction ◽  
Calculation Model ◽  
Shield Tunnel ◽  
Beam Model ◽  
Model Based ◽  
Pasternak Model ◽  
Subgrade Modulus ◽  
Parametric Analyses

Segment uplift is a frequent problem during the construction of shield tunnels. The phenomenon of segment uplift in Xuzhou Metro Line 1 is investigated. The segment uplift magnitude in the shale layer is quite smaller than that in the clay layer. A tunnel segment uplift calculation model based on the Pasternak foundation beam model is proposed, which considers the hardening process of the grouted body with time. The finite difference method is adopted to calculate the magnitude of segment uplift during different tunnel construction stages, and a numerical solution of segment uplift on the longitudinal direction is obtained. The applicability of the numerical solution is studied by comparing with the field test results and parametric analyses are also performed to investigate the effects of different factors on segment uplifting. The results show that the coefficient of subgrade modulus, shear stiffness of the shear layer, and grout pressure all influence the segment uplifting of the tunnel. The influence of the coefficient of subgrade modulus and grout pressure on segment uplift is more significant.

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