Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 15 of 15 for “"Advection-diffusion-reaction"”.
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Numerical methods for advection-diffusion-reaction equations and medical applications
… a relaxation procedure for numerically solving advection-diffusion-reaction equations, and secondly, a medical application. Concerning the first topic, we extend the applicability of the Cattaneo relaxation approach to reformulate time-dependent advection-diffusion-reaction equations, that may …
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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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Asymptotic Analysis of Perturbations to Travelling Wave Solutions of Nonlinear Advection-Reaction-Diffusion Equations of Fisher Type
In this thesis we examine some nonlinear advection-diffusion-reaction equations of Fisher type. First we discuss the stability properties of the equations by writing each nonlinear equation as a system of two ordinary different equations and then analyzing the stability of their equilibrium …
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An analysis of the TR-BDF2 integration scheme
… Several examples are presented, including an advection-diffusion-reaction (ADR) problem and the (chaotic) damped driven pendulum. We also briefly introduce how the ideas of splitting methods can be coupled with the TR-BDF2 scheme and applied to the ADR equation to take advantage of the …
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Numerical solution for subsurface reservoir simulation
… We finally run some numerical simulations of advection-diffusion-reaction problems in a heterogeneous and an anisotropic porous media.
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Towards next generation ocean models : novel discontinuous Galerkin schemes for 2D unsteady biogeochemical models
… Discontinuous Galerkin (DG) method for solving advection-diffusion problems is described, including a discussion on schemes for solving higher order derivatives. The discrete formulation for advection-diffusion problems is detailed and implementation issues are discussed. The Hybrid …
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Computational Modeling and Simulation of Viscoelastic Granular Packings
… different networks, resulting in a transient advection-diffusion-reaction (ADR) equation. The influence of temperature and association-dissociation rates on interface welding has also been presented. Overall, the findings in this thesis expand our understanding of 2D viscoelastic granular …
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A Dynamical Nephrovascular Model of Renal Autoregulation
… of partial differential equations, mainly of the advection-diffusion-reaction type, that represent blood flow, glomerular filtration and the tubular processes. Due to its unique activation characteristics, the myogenic response is formulated with a set of delay differential equations.</p><p>The …
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Advances in Algorithms for Atmospheric Sciences
… indicator function for the simulation of advection-dominated advection-diffusion-reaction (ADR) problems with under-refined meshes. The proposed technique has been previously applied to the incompressible Navier-Stokes equations and successfully validated against experimental data. …
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Seagrass-Mediated Carbonate Dissolution and Early Diagenesis in Bahamas Bank Sediments
… data set on the Bahamas Bank scale. A numerical advection-diffusion-reaction (ADR) model was used to calculate depth integrated reaction rates (i.e., fluxes at the sediment-water interface). The carbonate dissolution flux was then further examined as a function of seagrass density and sediment …
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Analyses and Applications of the Peaceman--Rachford and Douglas--Rachford Splitting Schemes
… simultaneous space-time convergence orders. Advection-diffusion-reaction models, encountered in physics, chemistry, and biology are important examples of dissipative evolution equations. In this thesis we present such a model describing the growth of axons in nerve cells. The model consists …
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Towards Simulation of Complex Ocean Flows: Analysis and Algorithm for Computation of Coupled Partial Differential Equations
… a study of 1D domain decomposed problem based on advection-diffusion-reaction equation is made. Both Schwarz-Time process and Time-Schwarz process have been analysed with a new but simple method called fully discretization analysis. The convergence ratio formulas of classic and optimized interface …
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Modelling calcite dissolution in a rotating disc reaction vessel
… problem as a set of coupled convection- reaction-diffusion equations that is not only consistent with the bulk chemistry, but is also connected with a Stefan condition for dissolution interface, treating it as a free boundary. The substantial difference in the order of magnitude of the …
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Bayesian learning for high-dimensional nonlinear dynamical systems : methodologies, numerics and applications to fluid flows
… transfer, biogeochemical dynamics, and other advection-diffusion-reaction-based transport processes. Even though such models often express the differential form of fundamental laws, they commonly contain uncertainty in their initial and boundary values, parameters, forcing and even …
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On Enforcing Maximum Principles and Element-Wise Species Balance for Advective-Diffusive-Reactive Systems
… oscillations for the primary variables in advection-dominated and reaction-dominated diffusion-type equations. Furthermore, the violation is not mere numerical noise and cannot be neglected. Second, we shall provide various numerical methodologies to overcome such difficulties. We …