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In presenting our numerical algorithm we describe how to numerically handle this problem of weak hyperbolicity, as well as how to choose an appropriate gauge condition.
The so-called sectional representation (e.g., Abdul-Razzak and Ghan 2002) is employed to numerically handle aerosol size distribution spectra in most of these models.
The question of how to numerically handle the two critical components (i.e., the size distribution spectra of aerosol particles and ambient supersaturation) is an important issue in the representation of the droplet nucleation process in cloud microphysics schemes.
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The phase-field approach has been regarded as a powerful method in numerically handling the interface dynamics in multiphase flow in several scientific and engineering applications.
Furthermore, the flow entering the 0D domain from each outflow branch of the 3D domain is numerically handled to ensure global conservation of flow throughout the system.
This damps the energy dependent time factors which for real momenta would be difficult to handle numerically.
In this paper it is shown how frequency-domain TLS and GTLS estimators can be numerically optimized to handle large amounts of modal data.
After reviewing the known remedies to handle numerically this instability (designed, all of them, for Finite Volume methods), we present and analyze in depth the only effective cure reported in literature for Residual Distribution schemes.
The model with only viscous transport in bed and the linear driving force approximation for the uptake rate is the recommended option for modeling PSA operations, provided that the LDF approximation is applicable, since it is easier to handle numerically and reduces to the equilibrium model in the limiting case of large adsorption rate constants.
The 1-d grid cell firing rate is modeled as a periodic sum of truncated Gaussians (a full Gaussian mixture model gives similar results but the truncated model is easier to handle numerically).
Moreover, this system is also extremely difficult to handle numerically because of the huge size difference between the silica sphere and the gold layer, the aforementioned inhomogeneity of the gold layer, and thus the unknown optical response of the particle.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com