Front tracking in two and three dimensions

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Front Tracking in Two and Three Dimensions

Front Tracking is the combination of two distinct computational traditions. Its purpose is to enable high quality, relatively coarse grid mesh solutions for problems complicated by the presence of fronts, interfaces, and other discontinuities, which may be of considerable geometric complexity. The rst of the two algorithmic ideas used in front tracking is upwind diierencing, for uids, materials...

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Three-Dimensional Front Tracking

We describe a three dimensional front tracking algorithm, discuss its numerical implementation, and present studies to validate the correctness of this approach. Based on the results of the two dimensional computations, we expect three dimensional front tracking to improve signiicantly computational eeciencies for problems dominated by discontinu-ities. In some cases, for which the interface co...

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Conservative Front Tracking in Higher Space Dimensions

We propose a fully conservative Front Tracking algorithm in two space dimension. The algorithm rst uses the point shifted algorithm 12] on two adjacent time levels and then constructs space time hexahedra as computational units. We develope and prove a successful geometric construction under certain interface requirement. This algorithm has a rst order local truncation error for cells near the ...

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Oculomotor tracking in two dimensions.

Results from studies of oculomotor tracking in one dimension have indicated that saccades are driven primarily by errors in position, whereas smooth pursuit movements are driven primarily by errors in velocity. To test whether this result generalizes to two-dimensional tracking, we asked subjects to track a target that moved initially in a straight line then changed direction. We found that the...

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Manual tracking in two dimensions.

Manual tracking was studied by asking subjects to follow, with their finger, a target moving on a touch-sensitive video monitor. The target initially moved in a straight line at a constant speed and then, at a random point in time, made one abrupt change in direction. The results were approximated with a simple model according to which, after a reaction time, the hand moved in a straight line t...

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ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 1998

ISSN: 0898-1221

DOI: 10.1016/s0898-1221(98)00028-5