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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