Global ETD Search
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Showing 1 to 10 of 10 for “"Sharp-interface model"”.
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Phase field model for precipitates in crystals
… approach to simulate multiphase system is the sharp interface model. Sharp interface model requires tracking the interface between phases, which make the simulation much difficult and complicate. Phase-field model offers an alternative approach for predicting mesoscale morphological and …
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Numerische Simulation von Erstarrungsprozessen : Wege zur mehrskaligen Modellierung ausgehend von Mikrostrukturmodellen
… field where this thesis can be ranged in is the modeling of solidification processes. A central problem in this modeling is the large range of length scales on which important processes take place during a solidification. The comprehensive consideration of all or at least many of these scales in …
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Thermodynamically consistent modelling and computational methods for multiphase flows
… We begin by introducing an extension of the Model H to study the two-phase flows with thermocapilliary effects, where we assume that the coefficient of the surface tension is temperature dependent, and the classical energy equation is coupled with the Model H. We then investigate numerically …
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Dewetting of thin solid films
… various mathematical topics such as phase field modeling, the derivation of corresponding sharp interface limits, existence of solutions, numerical simulations and linear stability analysis of the dewetting front. We start with the formulation of a two-dimensional anisotropic phase field model …
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Long-term management and discounting of groundwater resources with a case study of KukioÌ HawaiiÌ
… at late times. In Part II a hydrologic-economic model is constructed for a dual coastal and high-level aquifer system at Kuki'o, Hawai'i. The high-level aquifer is modeled as a leaky bucket, while the coastal aquifer is modeled using a sharp-interface formulation of the basal lens. Salinization …
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Simulations of interfacial dynamics of complex fluids using diffuse interface method with adaptive meshing
A diffuse-interface finite-element method has been applied to simulate the flow of two-component rheologically complex fluids. It treats the interfaces as having a finite thickness with a phase-field parameter varying continuously from one phase to the other. Adaptive meshing is applied to produce …
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Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes
<p>Interfaces play a dominant role in governing the response of many biological systems and they pose many challenges to traditional finite element. For sharp-interface model, traditional finite element methods necessitate the finite element mesh to align with surfaces of discontinuities. …
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On convection and stability of some welding and solidification processes
… have developed a two-dimensional, axisymmetric model which includes the Marangoni force on the free surface of a semi-infinite region of liquid steel when a point source of current and heat is incident on the free surface. An asymptotic solution to this problem is obtained in this thesis, and …
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Collective Evolution of Biological and Physical Systems
… of genome biases. I present a new phase-field model of solidification which allows efficient computations in the regime when interface kinetic effects dominate over capillary effects. The asymptotic analysis required to relate the parameters in the phase-field with those of the original sharp …
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The influence of hydrodynamic flow on microstructure evolution during solidification
… during solidification. First, we use a classical sharp interface approach combined with an accurate fluid flow solver to simulate dendritic growth under the influence of an imposed flow. Secondly, we include convection effects into an existing quantitative phase-field model [Phys. Rev. E, 70 …