| Abstract: |
| The phase field method is widely used in studying interfacial problems. However, solving phase field models can be computationally expensive and time-consuming, particularly for large-scale and 3D interfacial problems and long simulations. To overcome this challenge, model order reductions for phase field models can be designed to reduce computational costs while maintaining accuracy and feasibility. However, current reduced order model techniques do not preserve the energy variational structure that is crucial for phase field models to be thermodynamically consistent and produce accurate results. In this presentation, we propose a novel approach for designing thermodynamically consistent reduced order models for phase field PDEs. We will provide several examples using widely used phase field models to demonstrate the effectiveness of our proposed approach. |
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