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An evaluation of several numerical advection schemes
Abstract Three categories of numerical advection techniques are tested: SHASTA, a flux-corrected onedimensional algorithm; FCT, a multi-dimensional flux-corrected technique; and the BIQUINTIC method, a polynomial approximation algorithm. The tests include the transport of a finite amount of material through a 25 × 25 cell grid driven by three different flow fields: one-dimensional linear flow, two-dimensional linear flow, and rotational flow. For each of these tests, two initial distributions of material are used: a rectangular blockshape and an ellipse-shape. In addition, a test with a non-divergent flow field with a homogeneous material field was performed to check for inherent divergence in a particular method. Results show that the FCT and BIQUINTIC methods maintain the integrity of an initial distribution of material better than SHASTA through a simulation. While SHASTA is the fastest of the methods tested computationally it also produces the greatest amount of spurious numerical diffusion. The FCT method has a tendency to flatten the top of a peaked distribution, and the BIQUINTIC method tends to produce a peak in a top-hat distribution during numerical transport. The BIQUINTIC scheme requires more computer time to execute than the other methods tested.
An evaluation of several numerical advection schemes
Abstract Three categories of numerical advection techniques are tested: SHASTA, a flux-corrected onedimensional algorithm; FCT, a multi-dimensional flux-corrected technique; and the BIQUINTIC method, a polynomial approximation algorithm. The tests include the transport of a finite amount of material through a 25 × 25 cell grid driven by three different flow fields: one-dimensional linear flow, two-dimensional linear flow, and rotational flow. For each of these tests, two initial distributions of material are used: a rectangular blockshape and an ellipse-shape. In addition, a test with a non-divergent flow field with a homogeneous material field was performed to check for inherent divergence in a particular method. Results show that the FCT and BIQUINTIC methods maintain the integrity of an initial distribution of material better than SHASTA through a simulation. While SHASTA is the fastest of the methods tested computationally it also produces the greatest amount of spurious numerical diffusion. The FCT method has a tendency to flatten the top of a peaked distribution, and the BIQUINTIC method tends to produce a peak in a top-hat distribution during numerical transport. The BIQUINTIC scheme requires more computer time to execute than the other methods tested.
An evaluation of several numerical advection schemes
Schere, Kenneth L (author)
Atmospheric Environment ; 17 ; 1897-1907
1982-02-28
11 pages
Article (Journal)
Electronic Resource
English
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