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Showing 1 to 8 of 8 for “"Advection-diffusion equations"”.
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Entropic criteria for computational models of advection-diffusion equations
… methods for the estimation of parameters within advection-diffusion equations (ADEs) often overlook the entropic contribution of the discretization, i.e.number of particles, within associated numerical methods. Many times, the gain in accuracyof a highly discretized numerical model is outweighed …
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A fast characteristic finite difference method for fractional advection-diffusion equations with non-linear reaction.
… can be modeled with fractional differential equations. This approach results in early arrival of contaminants and heavy-tail distributions observed in field experiments. The implicit finite difference scheme with the shifted Grunwald approximation discritizing the fractional …
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Stabilized Explicit Time Integration for Parallel Air Quality Models
… density. Most air quality models are based on advection-diffusion equations. These differential equations are moderately stiff and require appropriate techniques for fast integration over large intervals of time. Implicit time stepping techniques for solving differential equations being …
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Active Transport in Chaotic Rayleigh-Bénard Convection
… to solve the Boussinesq and the reaction-advection-diffusion equations in a spatially-extended cylindrical domain with experimentally relevant boundary conditions. The transport is quantified using statistics of spreading and in terms of active transport characteristics like front speed …
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Stabilized Finite Element Formulations for Flow Problems
… to numerically modeling the Navier-Stokes equations, we begin with a study of the Stokes and advection-diffusion equations. From our study of the Stokes equations we learn that stabilized methods based on enriching the velocity trial function space with bubble functions are only stable for …
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Rotation and magnetism in massive stars
… the magnetic field with a pair of time-dependent advection--diffusion equations coupled with the equations for the evolution of the angular momentum distribution and stellar structure. This produces a much more complete, though still reasonably simple, model for the magnetic field evolution. We …
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Structure-Preserving High Performance Computational Methods for Transport in Porous Media
… the non-negative constraint under anisotropic diffusion (i.e., they violate dis- crete maximum principles) and the inability of the standard finite element formulation to ensure local mass balance. Moreover, there is no platform-agnostic performance model that can simultaneously document both …
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Studies in living porous media
… continuum model that takes the form of a set of advection-diffusion equations for heat transfer in a mobile porous medium, we show that the equalization of an effective "behavioral pressure", which propagates information about the ambient temperature through variations in density, leads to …