Global ETD Search
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Showing 1 to 10 of 10 for “"diffusion-reaction equation"”.
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Nonlinear model reduction for uncertainty quantification in large-scale inverse problems : application to nonlinear convection-diffusion-reaction equation
… one or several nonlinear partial differential equations (PDEs) that are parametrized in terms of a set of inputs. Even though well-established numerical techniques exist for solving these problems, their computational cost often precludes their use in cases where the outputs of interest must be …
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Oxygen diffusion limitations in pancreatic islet culture and immunoisolation
… a numerical solution of the transient oxygen diffusion-reaction equation. Average best-fit values were 3.1 +/- 0.7 x 10-8 mol/cm3-s for the maximum oxygen consumption rate Vmax in aminoacid-free media and 1.2 +/- 0.4 x 10-14 mol/cm-mm Hg-s for the oxygen permeability in islet tissue. These …
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Stabilization of POD-ROMs
… decomposition) for both the CDR (convection-diffusion-reaction) equation and the NSEs (Navier-Stokes equations). Stabilization is necessary because standard POD-ROMs of convection-dominated problems usually display numerical instabilities. The first stabilized ROM investigated is a …
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Kernel-based Lagrangian method for imperfectly-mixed chemical reactions, A
… (particle-tracking) algorithms used to simulate diffusion-reaction equations must employ a certain number of particles to properly emulate the system dynamics---particularly for imperfectly-mixed systems. The number of particles is tied to the statistics of the initial concentration fields of the …
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MicroCantilever (MC) based nanomechanical sensor for detection of molecular interactions
… The sensing principle is that binding/reaction of specific chemical or biological species on the sensing cantilever transduces to mechanical deformation. The differential bending of the sensing cantilever respect to the reference cantilever ensures that measured response is insensitive …
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Towards Simulation of Complex Ocean Flows: Analysis and Algorithm for Computation of Coupled Partial Differential Equations
… if the two sub-models are different in governing equations, numerical methods, and computational grids. Also, it can not treat complex flow structures as well as the balance in mass or momentum across the interface. Even several different prototypes of interface treatments have been reported but …
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A variational multiscale computational framework for reaction-dominated thermo-chemo-mechanical process modeling in multi-constituent material systems
… thermo-chemo-mechanical response in the reaction-dominated regime. This is accomplished through two major components of the work: (i) new robust variational multi-scale numerical methods that are consistently derived, and (ii) models for multi-physics processes in multi-constituent …
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Parameter Estimation in the Advection Diffusion Reaction Model With Mean Occupancy Time and Boundary Flux Approaches
In this dissertation, we examine an advection diffusion model for insects inhabiting a spatially heterogeneous environment and moving toward a more favorable environment. We first study the effects of adding a term describing drift or advection toward a favorable environment to diffusion models for …
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Super-conformal coating and filling of high aspect ratio recessed structures by two-molecule CVD
… substrates fit to a first-order adsorption-reaction model. We use a diffusion-reaction formalism to derive a general theory of superconformal growth as a function of AR, species diffusivities, and variation of growth rate vs. partial pressures. The theory predicts, for the MgO system, the …
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Influencia de la composición de distintos hormigones en los mecanismos de transporte de iones agresivos procedentes de medios marinos
… permeability, chloride, sulfate and magnesium diffusion and mechanical properties of concrete. The experimental procedure presented gives reliable information to evaluate the homogeneity of different concretes in terms of air permeability. To simulate the aggressiveness of the marine …