Reduced Order Structural Modeling With Optimal Transport Embeddings
Abstract
We will develop new reduced order modeling (ROM) approaches for approximating solutions of partial differential equations (PDEs) kno,wn to be associated with traveling wave phenomena. The approach will be based on a new mathematical transform capable of efficiently, representing transport phenomena developed by Dr. Rohde s laboratory at the University of Virginia. If successful, the new mathemat,ical methods could significantly enhance our ability to provide high definition (accuracy) solutions to wave propagation problems in, support of dynamic simulations that could be used to evaluate structural integrity, for example. textbf{Outputs} of the project wi,ll include mathematical theories, algorithms, open source software, presentations, tutorials, patents, and publications. Our work ai,ms at improving the success of learning/data science-related techniques for speeding up acoustic propagation and fluid simulations b,y utilizing the theory of transport and optimal transport. Our goal is to enable higher accuracy results and increase the number of,practical situations where modeling and simulation can yield useful information enabling safe and effective operation in battlespace, environments.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jul 13, 2022
- Source ID
- N000142212505
Entities
People
- Gustavo Rohde
Organizations
- Office of Naval Research
- United States Navy
- University of Virginia