Exact Representation of Curved Material Interfaces and Boundaries in High-Order Finite Element Simulations

Vladimir Tomov | 21-ERD-031

Executive Summary

Our project will research and develop numerical algorithms to exactly represent material interfaces and boundaries in finite element simulations. The results will substantially improve Lawrence Livermore National Laboratory's simulation capabilities in all of its mission focus areas. This research will lead to improved fidelity in stockpile stewardship simulations and advances in scalable solvers ready for the next-generation exascale computing architectures.

Publications, Presentations, and Patents

Atallah, N.K. Mittal, G. Scovazzi, and V. Tomov. “Exact Representation of Curved Material Boundaries and Interfaces in High-Order Finite Element Simulations.” 15th World Congress on Computational Mechanics Yokohama, Japan. Virtual. July 31 - Aug. 5, 2022. LLNL-PRES-837357.

Scovazzi, G., N. Atallah, K. Li, A. Rodriguez-Ferran. “The Shifted Boundary Method: A Framework for Immersed Computational Mechanics.” Engineering Mechanics Institute Conference, Atlanta, GA. June 6-9, 2022. LLNL-PRES-835715.

Lazarov, B., N. Atallah, G. Scovazzi, V. Tomov. “Topology and Shape Optimization Based on the Shifted Boundary Method.” Engineering Mechanics Institute Conference, Atlanta, GA. June 6-9, 2022. LLNL-PRES-835768.