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.
Results
Showing 1 to 20 of 28 for “"Cahn-Hilliard"”.
-
Mathematical and Numerical Analysis of a Pair of Coupled Cahn-Hilliard Equations with a Logarithmic Potential
… has been undertaken for a pair of coupled Cahn-Hilliard equations with a logarithmic potential and with homogeneous Neumann boundary conditions. This pair of coupled equations arises in a phase separation model of thin film of binary liquid mixture. Global existence and uniqueness of a weak …
-
Analysis and numerical simulation of tumor growth models
… Galerkin (DG) scheme for the convective Cahn–Hilliard model with degenerate mobility which preserves the pointwise bounds and prevents non-physical spurious oscillations. These ideas are based on a well-suited piecewise constant approximation of convection equations. The proposed …
-
Analysis and numerical simulation of tumor growth models
… Galerkin (DG) scheme for the convective Cahn-Hilliard model with degenerate mobility which preserves the pointwise bounds and prevents non-physical spurious oscillations. These ideas are based on a well-suited piecewise constant approximation of convection equations. The proposed …
-
Demonstration of Bayesian inference and Bayesian experimental design in a model film/substrate inference problem
… is a phase separating mixture modeled by the Cahn-Hilliard equation. A key feature of the inference and the experiment design is a stochastic reduced-order model.
-
Development of stable operator splitting numerical algorithms for phase-field modeling and surface diffusion applications
… spectral algorithms were used to create Allen-Cahn and Cahn-Hilliard phase field models. Individual terms of the conservation equations were approached by different methods using operator splitting techniques found in previous literature. In addition, dewetting of gold films due to surface …
-
Chemo-mechanics of lithium-ion battery electrodes
… coupling between mechanical deformation and the Cahn-Hilliard phase-field theory. We have formulated a thermodynamically consistent theory which couples Cahn-Hilliard species diffusion with large elastic deformations of a body. Through a split-method, we have numerically implemented our theory, …
-
Simulations of polymeric membrane formation in 2D and 3D
… and purification. In this work, a ternary Cahn-Hilliard formulation incorporating a Flory-Huggins homogeneous free energy function is used to model both initial diffusion and the liquid-liquid demixing stage of the immersion precipitation process, which determines much of the final …
-
Phase-field simulation of freezing water droplet
… fluid interface are handled by the Allen-Cahn and the Cahn-Hilliard equations, respectively. The governing equations, including the two phase-field equations, the Navier-Stokes equations, and the energy equation, are designed such that the non-negative entropy production is guaranteed. …
-
FINITE ELEMENT METHODS AND MACHINE LEARNING FOR SOME MULTI-PHASE PROBLEMS
… of spatio-temporal data from the surface Cahn–Hilliard phase-field model is examined. The deep learning methods are echo state network (ESN) and long short-term mem- ory (LSTM). The numerical discretization scheme of the Cahn-Hilliard system is briefly discussed. Then we present …
-
Dinámica de ordenamiento de multicapas de copolímero bloque
… bloque en conjunto con la dinámica de Cahn-Hilliard para un parámetro de orden conservado. Además, se complementó dicho análisis estudiando la estabilidad de los films a partir de teoría autoconsistente de campos.
-
Dynamics of Membrane Structure Formation in Quenched Polymer Solutions
The Cahn-Hilliard approach is extended to the study of phase separation in ternary polymer/solvent/nonsolvent systems. Three systems are studied: PMMA/N-methyl-2-pyrrolidinone [NMP]/glycerol, for which experimental data are available, and two common membrane-forming systems, poly(ether sulfone) …
-
Theoretische Untersuchung der thermischen Stabilität und morphologischer Umwandlungen in nanoskaligen Multischichten
… Hilfe der Monte-Carlo-Methode und im Rahmen der Cahn-Hilliard-Theorie. Es wird gezeigt, dass bei einer Wärmebehandlung abgeschiedener Schichten die chemische Unschärfe der Phasengrenzfläche verringert werden kann. Bei der Wärmebehandlung bildet sich abhängig von der Temperatur eine morphologische …
-
Lifetime prediction for lithium-ion batteries undergoing fast charging protocols
… ensemble is described by generalized Allen-Cahn-Hilliard dynamics. Single-particle dynamics are governed by firstprinciples free energy landscapes as opposed to inductive fits to open-circuit battery voltages. Multiscale parameter estimation and central limit theorem analysis are …
-
Intercalation dynamics in lithium-ion batteries
… electrode materials. It is based on the Cahn-Hilliard equation coupled to reaction rate laws as boundary conditions to handle the transfer of ions between the crystal and the electrolyte. In this thesis, I carefully derive a second set of boundary conditions--necessary to close the …
-
Mathematical modeling of lithium-ion intercalation particles and their electrochemical dynamics
… In this thesis, a new theoretical framework, the Cahn-Hilliard reaction (CHR) model, is applied to model the bulk phase separation dynamics of the single intercalated particle in the lithium-ion battery. After a study of the efficient numerical algorithm for solving nonlinear diffusion equations, …
-
Morphological study of composite latex particles and water interaction with polymer chains
… and after polymerization was also developed. The Cahn-Hilliard theory was applied for this simulation to account for the new interfaces formed during phase separation.</p><p>Water interaction with polymer chains also became an important aspect of our study. Different states of water can exist …
-
Some problems on spatial patterns in nonequilibrium systems
… We assume that the dynamics are governed by the Cahn-Hilliard-Cook (CHC) and time-dependent GinzburgLandau equations and show that the scaling hypothesis restricts the asymptotic growth rate of the length-scale of the patterns and the small wavevector behavior ofthe form factor. Specifically, if …
-
LATTICE BOLTZMANN SIMULATION OF BINARY DROP COALESCENCE AT LOW WEBER NUMBER
… for an incompressible binary fluid based on the Cahn-Hilliard diffuse interface approach to investigate the early-time coalescence dynamics of two liquid drops. The two drops approach each other at a very low Weber number (We) and the coalescence process is driven by surface tension. When the two …
-
Large Scale Simulation of Spinodal Decomposition
… the evolution of the spinodal decomposition. The Cahn-Hilliard (CH) partial differential equation, which includes an order parameter and a free energy, and evolves to minimize the energy, has frequently been used as a phase field model. Due to random thermal fluctuations that are inevitable in …
-
Phase Field Modeling of Grain Growth in Porous Polycrystalline Solids
… solids. Based on a dynamical system of coupled Cahn-Hilliard and Allen-Cahn equations, the model couples the curvature-driven grain boundary motion and the migration of pores via surface diffusion. As such, the model accounts for all possible interactions between the pore and grain boundary, …
Page 1 of 2