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Total runtime t* = 6; and contour spacing t* = 0.5.
(Psi) is displayed at 30 kA contour spacing, and increases from dashed to solid contours.
Contours of electric potential are plotted with a 6 kV contour spacing.
Runtime for all cases is t* = 125, and contour spacing t* = 25.
Simulation is for mathematically balanced 7-spot (m*injector = +6; m*producer = −1, runtime t* = 10, contour spacing t* = 1).
Further parameter settings are m*injector = +1; m*producer = −1, runtime t* = 20, and contour spacing t* = 4.
Similar(46)
Theoretically, it is very difficult to optimize this Mumford-Shah functional as it includes two energy terms defined in two-dimensional image space and one-dimensional contour space respectively.
Another routine to optimize the Mumford-Shah model is to transform the term in contour space into the one in image space, which can be achieved via introducing a proper characteristic function for each different phase that represents different feature in an image.
Oil-withdrawal contours spacing t* = 1 and total run time t* = 10.
In each panel, the top halves show 50 pressure contours (spaced by the factor of 1.18) and the bottom halves show the temperature parameter (tauequivrho h/(rho h - p)) in 50 contours (spaced by the factor of 1.003).
Red curves show the expanding drainage regions as non-dimensional time contours with spacing t* = 0.5.
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