Mixed continuation methods for robust CFD Newton solvers. Anibal, J. L., Seraj, S., Yildirim, A., & Martins, J. R. R. A. In AIAA SciTech Forum, January, 2023.
doi  abstract   bibtex   
Computational fluid dynamics (CFD) has become a vital tool for aerospace engineers. The ability to rapidly assess the performance of a design without a wind tunnel experiment or flight test has greatly increased the rate at which engineers can iterate on a design. Despite CFD's widespread adoption, its automated use remains challenging. One challenge is the development of robust and high-performance solver algorithms for a broad range of problems. Globalized Newton's methods offer a promising solution to this issue. However, selecting a suitable globalization strategy for this task requires careful analysis of possible candidates. In this work, we investigate the use of combinations of existing globalization strategies over a range of test cases. Specifically, we will compare the relative performance of combinations of pseudo-transient, boundary condition, and dissipation-based continuation. We find well tuned methods that use a mix of pseudo-transient and dissipation-based continuation to be the most robust for our test problems.
@InProceedings{Anibal2023a,
    author      = {Joshua L. Anibal and Sabet Seraj and Anil Yildirim and Joaquim R. R. A. Martins},
    title       = {Mixed continuation methods for robust {CFD} {Newton} solvers},
    booktitle   = {AIAA SciTech Forum},
    doi         = {10.2514/6.2023-2296},
    keywords    = {CFD, solver, continuation},
    month       = {January},
    year        = {2023},
    abstract    = {Computational fluid dynamics (CFD) has become a vital tool for aerospace engineers. The ability to rapidly assess the performance of a design without a wind tunnel experiment or flight test has greatly increased the rate at which engineers can iterate on a design. Despite CFD's widespread adoption, its automated use remains challenging. One challenge is the development of robust and high-performance solver algorithms for a broad range of problems. Globalized Newton's methods offer a promising solution to this issue. However, selecting a suitable globalization strategy for this task requires careful analysis of possible candidates. In this work, we investigate the use of combinations of existing globalization strategies over a range of test cases. Specifically, we will compare the relative performance of combinations of pseudo-transient, boundary condition, and dissipation-based continuation. We find well tuned methods that use a mix of pseudo-transient and
                  dissipation-based continuation to be the most robust for our test problems.}
}

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