Global ETD Search
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Showing 1 to 10 of 10 for “"Diffusion-advection"”.
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Similarity Solutions for the Two-Dimensional Diffusion–Advection Equation in Sharp-Corner Geometries
… The Lie symmetry method is applied to the 2D diffusion-advection equation to obtain a similarity ansatz, reducing the equation to a time-independent second-order PDE. By modifying the ansatz, the problem can be recast as an eigenvalue problem. Exploiting elliptic regularity and the strong …
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Mathematical Modeling and Computational Studies for Cell Signaling
… numerical technique for solving reaction-diffusion-advection equations. For reaction-diffusion-advection equations, the stiffness from the reaction and diffusion terms often requires very restricted time step size, while the nonlinear advection term may lead to a sharp gradient in …
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QUANTITATIVE MODELING OF SCALING OF PATTERNS AND RECEPTOR SIGNALING IN MORPHOGENESIS
… for several TCS variants under the reaction-diffusion-advection paradigm with spatially varying coefficients. Our analysis revealed a number of candidate networks and minimal regulatory motifs that achieve the precision needed for a developing species to ensure perfect development. …
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Theoretical Impacts of Habitat Loss and Generalist Predation on Predator-Prey Cycles
… cycles in southern latitudes. I used a reaction-diffusion-advection framework to investigate the relative and combined damping impacts of generalist predation and habitat loss with reaction terms taken from the May and Rosenzweig-MacArthur models. The models were parameterized using data from …
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The Role of MHD Waves and Ambipolar Diffusion in the Formation of Interstellar Cloud Cores and Protostars
… and contraction of cloud cores due to ambipolar diffusion in isothermal, magnetic molecular clouds in the presence of MHD waves. The model clouds are initially in exact equilibrium states, with magnetic, thermal-pressure, and wave-pressure forces balancing self-gravity. An energy equation for MHD …
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Diffusiophoresis and Auto Stratification in Rapidly Drying Colloidal Suspensions
Because of the coupled effects of diffusion, advection, and phoretic transport under non-equilibrium conditions, polydisperse colloidal suspensions exhibit interesting auto-stratification phenomena during rapid drying, where particles of different sizes segregate into layered structures. The …
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A variational multiscale computational framework for reaction-dominated thermo-chemo-mechanical process modeling in multi-constituent material systems
… for the reaction-dominated regime of the diffusion–reaction equation. The proposed fine-scale basis consists of enrichment functions that may be nonzero at element edges. The method captures sharp boundary and internal layers, suppresses spurious oscillations, and better satisfies the …
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In-situ measurements and calculation of radon gas concentration and exhalation from a tailings mine dump
In Africa as well as in the world, South Africa plays an important role in the mining industry which dates back almost 120 years. Mining activities in South Africa mainly take place in Gauteng Province. Every year millions of tons of rocks are taken from underground, milled and processed to extract …
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Air pollution modelling over complex topography
… a numerical approach for the resolution of the diffusion-advection equation has been followed. Two different methods have been explored: puff-models and lagrangian particle models. The eulero-lagrangian puff-model CALPUFF (released by Earth Tech) has been used as a reference: closures and …
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Characterization of Mixing in a T-style Microfluidic Chip
… mixing that occur within a microfluidic channel, diffusion and advection. In the beginning of the microfluidic chip, diffusion is the dominant form of mixing, and in the later portion of the microfluidic chip advection is the dominant form of mixing. The type of design used for this experiment was …