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The numerical model is based on a level set technique for capturing the phase interface.
Overall the additional computational costs associated with GALS are almost the same as those using the standard level set technique.
The handling of moving boundaries tracked using a narrow-band level set technique leads to issues peculiar to the multi-processor environment.
The ENO scheme is employed to capture shocks in combination with a hybrid particle level set technique to evolve sharp immersed boundaries.
While the discretized governing equations are updated conservatively, the method treats the topological changes naturally by combining interface description and geometric operations with a level set technique.
The conservation errors associated with the accurate conservative level set technique are shown to remain small even for this complex case.
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Goodness-of-fit, robustness, and predictivity were evaluated using internal fivefold cross-validation (CV) and external test set techniques [51, 61, 62].
In the work of Meng et al. [16], the active contour-based energy function was minimized by level set techniques and the method of calculus of variations.
The interface location and the time evolution of the free surface boundary condition are both approximated by means of level set techniques on a fixed domain.
The numerical methods rely on fictitious domain and level set techniques, with a combination of quadratic finite elements and finite differences approximations.
Once such a value is set, techniques described in [ 34] can be used to de-identify the data set, such as the ADE database, before its public disclosure.
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