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Fig. 1: The eigenvalue graph of the gradient tensor field of a simulated flow on the boundary of a diesel engine [19] (left) and the corresponding eigenvalue graph after the simplification of the gradient tensor field (right). In the original tensor field (left), there are a number of regions dominated by either expansion (colored yellow) and contraction (colored blue). However, such regions disappear after the simplification process (right), indicating that they are not as significant as regions dominated respectively by counterclockwise rotations (red), clockwise rotations (green), and pure shears (antique white).