Class
Article
College
College of Science
Department
Mathematics and Statistics Department
Faculty Mentor
Jia Zhao
Presentation Type
Poster Presentation
Abstract
As a basic thermodynamic model, the essence of the phase field model is describing non-conservative field variables in the phase separation process, such as liquid-solid interface, dendritic flow, microstructure evolution in solids, etc. Due to its extensive applications in the literature, there are many approaches to develop numerical approximations for the phase field PDE models. However, most numerical schemes are designed specifically for a particular model, making their applications restricted. I will introduce a new family of linear and unconditionally energy stable schemes for phase field models and apply them to several typical examples to demonstrate the generality, accuracy, and efficiency of the proposed schemes. Presentation Time: Thursday, 3-4 p.m. Zoom link: https://usu-edu.zoom.us/j/89713184317?pwd=MVI1czZVUVdhSE1SWEVWdlpUUU0rQT09
Location
Logan, UT
Start Date
4-12-2021 12:00 AM
Included in
Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes
Logan, UT
As a basic thermodynamic model, the essence of the phase field model is describing non-conservative field variables in the phase separation process, such as liquid-solid interface, dendritic flow, microstructure evolution in solids, etc. Due to its extensive applications in the literature, there are many approaches to develop numerical approximations for the phase field PDE models. However, most numerical schemes are designed specifically for a particular model, making their applications restricted. I will introduce a new family of linear and unconditionally energy stable schemes for phase field models and apply them to several typical examples to demonstrate the generality, accuracy, and efficiency of the proposed schemes. Presentation Time: Thursday, 3-4 p.m. Zoom link: https://usu-edu.zoom.us/j/89713184317?pwd=MVI1czZVUVdhSE1SWEVWdlpUUU0rQT09