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A radical method for being contrast invariant is to use a true egalitarian suffrage, with uniform weight ω=1.0, which conversely may favour spurious structures like jpeg artefacts.
In particular, FCT is less diffusive than GLM, is able to preserve a stationary solution, and it creates less spurious structures in the magnetic field.
Automated detection and exclusion of spurious structures (e.g. cysts and other bright white regions on the skin) in the pre-processing stage increases the accuracy and robustness.
In simulations of large solid deformation under plane strain compression, the finite element solver exhibits spurious structures that are not present in the Lagrangian particle simulations.
In this sense, combining multiple scales can improve the detection, as illustrated on Fig. 4: the finer scales improve the localisation of the main peaks while the coarser scales reduce the influence of the spurious structures.
To summarise this small section on the comparison between both divergence-control techniques, we found from the three tests performed that FCT seems to be less diffusive than GLM, is able to preserve for a longer time a stationary solution, and seems to create less spurious structures in the magnetic field.
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Such spurious structure was removed by taking out the trial configuration state functions in which the positron was weakly coupled to the target.
The paper investigates the formation of spurious vortical structures in incompressible flow simulations employing Godunov-type methods.
Although this behavior is not necessarily a problem for accurately simulating fluid flow, it can become a serious problem for atmospheric general circulation models if the spurious wave structures result in nonphysical states such as negative water vapor mixing ratio.
An advantage comparing to the conventional map potential technique with spherical harmonic expansion (Ruohoniemi and Greenwald 1998) is that the SECS reconstruction method uses the non-periodic functions for the expansion of 2-D flow map and thus is not suffered from spurious flow structures generated by the periodicity of spherical harmonics.
The aim of our work is threefold: (i) to identify deficiencies in various Godunov-type methods leading to spurious flow structures, (ii) to examine the numerical mechanisms responsible for these artifacts, and (iii) to propose modifications of Godunov-type methods in order to recover the correct solutions even under insufficient grid resolution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com