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

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

N. Atallah, K. Mittal, G. Scovazzi, V. Tomov, 2021. "Exact Representation of Curved Material Interfaces in High-Order Lagrangian Hydrodynamics." International Conference on Spectral and High-Order Methods, Vienna (virtual), 12-16 July 2021. LLNL-ABS-822058.

N. Atallah, et al., 2021. "Numerical Analysis of the Shifted Boundary Method Using High-Order Polynomials." International Conference on Spectral and High-Order Methods, Vienna (virtual), 12-16 July 2021. LLNL-ABS-822498.