Equivalence of finite element, volume and difference methods used to solve one-dimensional convectiondiffusion problems - Application to a solute transport process

2002 ◽  
Author(s):  
Mauri Fortes ◽  
Wanyr Romero Ferreira
Keyword(s):  
Finite Element ◽  
Solute Transport ◽  
Transport Process ◽  
One Dimensional ◽  
Difference Methods

scholarly journals An Experimental Study on Solute Transport in One-Dimensional Clay Soil Columns

Geofluids ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-17 ◽  
Author(s):  
Muhammad Zaheer ◽  
Zhang Wen ◽  
Hongbin Zhan ◽  
Xiaolian Chen ◽  
Menggui Jin
Keyword(s):  
Solute Transport ◽  
Dispersion Equation ◽  
Transport Process ◽  
Breakthrough Curve ◽  
Small Scale ◽  
Low Permeability ◽  
Late Time ◽  
Time Behavior ◽  
One Dimensional ◽  
Advection Dispersion

Solute transport in low-permeability media such as clay has not been studied carefully up to present, and we are often unclear what the proper governing law is for describing the transport process in such media. In this study, we composed and analyzed the breakthrough curve (BTC) data and the development of leaching in one-dimensional solute transport experiments in low-permeability homogeneous and saturated media at small scale, to identify key parameters controlling the transport process. Sodium chloride (NaCl) was chosen to be the tracer. A number of tracer tests were conducted to inspect the transport process under different conditions. The observed velocity-time behavior for different columns indicated the decline of soil permeability when switching from tracer introducing to tracer flushing. The modeling approaches considered were the Advection-Dispersion Equation (ADE), Two-Region Model (TRM), Continuous Time Random Walk (CTRW), and Fractional Advection-Dispersion Equation (FADE). It was found that all the models can fit the transport process very well; however, ADE and TRM were somewhat unable to characterize the transport behavior in leaching. The CTRW and FADE models were better in capturing the full evaluation of tracer-breakthrough curve and late-time tailing in leaching.

scholarly journals A Machine Learning Approach as a Surrogate for a Finite Element Analysis: Status of Research and Application to One Dimensional Systems

Sensors ◽  
2021 ◽  
Vol 21 (5) ◽  
pp. 1654
Author(s):  
Poojitha Vurtur Badarinath ◽  
Maria Chierichetti ◽  
Fatemeh Davoudi Kakhki
Keyword(s):  
Machine Learning ◽  
Neural Networks ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Artificial Neural Networks ◽  
Stress Distribution ◽  
Maintenance Scheduling ◽  
Element Analysis ◽  
One Dimensional ◽  
Artificial Neural

Current maintenance intervals of mechanical systems are scheduled a priori based on the life of the system, resulting in expensive maintenance scheduling, and often undermining the safety of passengers. Going forward, the actual usage of a vehicle will be used to predict stresses in its structure, and therefore, to define a specific maintenance scheduling. Machine learning (ML) algorithms can be used to map a reduced set of data coming from real-time measurements of a structure into a detailed/high-fidelity finite element analysis (FEA) model of the same system. As a result, the FEA-based ML approach will directly estimate the stress distribution over the entire system during operations, thus improving the ability to define ad-hoc, safe, and efficient maintenance procedures. The paper initially presents a review of the current state-of-the-art of ML methods applied to finite elements. A surrogate finite element approach based on ML algorithms is also proposed to estimate the time-varying response of a one-dimensional beam. Several ML regression models, such as decision trees and artificial neural networks, have been developed, and their performance is compared for direct estimation of the stress distribution over a beam structure. The surrogate finite element models based on ML algorithms are able to estimate the response of the beam accurately, with artificial neural networks providing more accurate results.

scholarly journals One-dimensional finite element limit analysis for hydraulic pile extraction

2021 ◽  
Vol 133 ◽  
pp. 104042
Author(s):  
William J.A.P. Beuckelaers ◽  
Kristine Vandenboer ◽  
Jonas Verbraecken ◽  
Stijn François
Keyword(s):  
Finite Element ◽  
Limit Analysis ◽  
One Dimensional ◽  
Dimensional Finite Element
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