Regensburg Mathematik Phase field models versus parametric front tracking methods : Are they accurate and computationally efficient ?
نویسندگان
چکیده
We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interface models of solidification. Particular emphasis is put on Stefan problems, and their quasi-static variants, with applications to crystal growth. New approaches with a high mesh quality for the parametric approximations of the resulting free boundary problems and new stable discretizations of the anisotropic phase field system are taken into account in a comparison involving benchmark problems based on exact solutions of the free boundary problem.
منابع مشابه
Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?
We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interface models of solidification. Here we focus on Stefan problems, and their quasi-static variants, with applications to crystal growth. New approacheswith a high mesh quality for the parametric approximations of the resulting free boundary problems and new stable discretizations o...
متن کاملAn Efficient Implementation of Phase Field Method with Explicit Time Integration
The phase field method integrates the Griffith theory and damage mechanics approach to predict crack initiation, propagation, and branching within one framework. No crack tracking topology is needed, and complex crack shapes can be captures without user intervention. In this paper, a detailed description of how the phase field method is implemented with explicit dynamics into LS-DYNA is provide...
متن کاملA Novel Control Strategy for a Single-phase Grid-connected Power Injection System
In this paper, a novel and simple control strategy, based on state feedback method is suggested to control the power injection system (PIS). The considered PIS is composed of, a DC voltage source, a voltage source inverter (VSI) and a L-C-L filter. The DC source includes the battery source with boosted voltage. The battery can be charged with photovoltaic cells. Since, the grid voltage acts as ...
متن کاملLeast Squares Methods for System Identification of Structured Models
The purpose of system identification is to build mathematical models for dynamical systems from experimental data. With the current increase in complexity of engineering systems, an important challenge is to develop accurate and computationally efficient algorithms. For estimation of parametric models, the prediction error method (PEM) is a benchmark in the field. When the noise is Gaussian and...
متن کاملRegression Modeling for Spherical Data via Non-parametric and Least Square Methods
Introduction Statistical analysis of the data on the Earth's surface was a favorite subject among many researchers. Such data can be related to animal's migration from a region to another position. Then, statistical modeling of their paths helps biological researchers to predict their movements and estimate the areas that are most likely to constitute the presence of the animals. From a geome...
متن کامل