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Second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids.
The grid can be dynamically refined or coarsened by adding or deleting points to adapt to evolving fine-scale structures in the solution.
The solver uses the enthalpy method to track melting, a strongly coupled implicit scheme to calculate conjugate heat transfer, and a dynamically refined mesh to ease grid creation and maximize computational efficiency.
Grains forming dislocation cells develop a self-organized and dynamically refined dislocation cell structure which follows the similitude principle but with a smaller similitude constant than that found in medium to high stacking fault energy alloys.
In order to resolve the thin detonation wave front, a dynamically refined mesh near the high pressure gradient was adopted.
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The method consists of two core components: an efficient selective reconstruction algorithm, based on geometric convection, that simplifies the input point set while reconstructing a surface, and a local update algorithm that dynamically refines or coarsens the reconstructed surface according to specific local sampling constraints.
To optimize performance given the relatively high number of dimensions in our grid searches (Additional file 1: Table S1), we used a grid that dynamically self-refined around the parameter regions in which the objective function was lowest.
The adaptive mesh refinement (AMR) algorithm applied for this study discretizes the fiber network into a hierarchy of dynamically, locally, and adaptively refined grids.
The fine grid may be locally refined further and is dynamically changing, which leads to both space and time adaptive algorithm.
Your implementation should be lazy in two key ways: (1) kd-tree nodes will be constructed dynamically as needed, and (2) scene objects will be refined into their primitive components only when required.
Future work will aim to understand how these findings reflect specific individual differences (e.g. prior cognitive biases) and clarify whether such biases change dynamically during cognitive tasks as internal models of the sensorium are refined and updated in response to experience.
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