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NODE POSITIONING ALGORITHM 10


Candidate Collocation Points Candidate Nodes


5 0 -5 -5 0 x


Figure 1 - Problem setup for CVBEM model depicting candidate nodes and candidate colloca- tion points. For visualization purposes, only 10% of the candidate collocation points and 50% of the candidate computational nodes are shown.


5 10


-1 0 1 2 3 4 5 6 7


024


Figure 2 - Problem setup for FEM model depicting the domain mesh. For visualization purposes, only 0.13% of the nodes and 0.09% of the elements are shown.


6 5 4 3 2 1 0 -4 -3 -2 -1


0 x


1 2 3 4


Figure 3 - CVBEM computational outcome. In this case, the CVBEM model accurately tracks the target flowline (shown as a dashed black line) and correctly identifies the LUST. The flowlines were obtained from the potential outcomes as a consequence of the Cauchy-Riemann equations.


Figure 4 - FEM computational outcome. In this case, the FEM model fails to accurately track the target flowline (shown as a dashed black line) and incorrectly identifies the LUST.


Contaminant Location Candidate Source Predicted/Actual Source


www.aipg.org


Apr.May.Jun 2021 • TPG 57


y y


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