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We examined the dimensional structure of FK by testing a one-dimensional model in comparison to a three-dimensional model with the observed levels included as subdimensions.
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The smoothed discrete delta functions are tested by three test cases: a one-dimensional heat equation with a moving singular force, a two-dimensional flow past an oscillating cylinder, and the vortex-induced vibration of a cylinder.
The model is verified by three benchmark tests: (i) a one-dimensional subcritical gradient flow; (ii) a dam-break wave flow; (iii) a flood event on the Yongding River.
The scaling of the accelerated algorithms are verified by test runs performed on a one-dimensional model.
This was derived by an extensive laboratory experimental study (445 impact tests) of a one-dimensional drop of spherical blocks onto planar surfaces.
To test the applicability of the model, the influence of artificial thickening on the simulation of stratified flames is investigated by means of a one-dimensional test case.
Specifically, one could test mechanisms for coexistence proposed by a one-dimensional model for plant functional types in deserts [ 15], especially seasonal differences in water use, differences in preparedness for water flushes, and differences in spatial uptake of water from upper soil layers.
Rather, an attempt is made to summarize high-dimensional data by means of a one-dimensional construct.
This is in no way implied by a one-dimensional analysis.
The role of various components of the modeling strategy is elucidated by simple examples dealing with a one-dimensional tensile test and a two-dimensional model of a notched beam subjected to bending.
Simulation tests are then performed using a one-dimensional nonlinear car model.
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