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On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations
Abstract
Simulations of turbulent flow present challenges in terms of accuracy and affordability on modern highly-parallel computer architectures. A multigrid-reduction-in-time algorithm is used to provide a framework for separately evolving different scales of turbulence and for parallelizing the temporal domain, thereby increasing the concurrency. It is hypothesized that the space–time locality of the small scales of turbulence can be used to circumvent difficulties in applying temporal multigrid to flows dominated by inertial physics. For algorithms that fall well short of spectral accuracy (fourth-order is used in this work) attention must be paid to the accuracy of features on scales transferred between multigrid levels. Numerical experiments were performed using implicit large-eddy simulation. Results from applying the approach to an infinite-Reynolds number Taylor–Green flow and a double-shear flow at a Reynolds number of 11650 provide strong evidence that the approach has merit. The multigrid-reduction-in-time framework can be used to parallelize the temporal domain of a high-Reynolds-number turbulent flow and permit independent convergence of different scales. Establishing this foundation allows for future research in reducing the wall-clock time to solve turbulent flows while retaining the same accuracy as sequential solvers. In conclusion, current performance results from parallelizing the temporal domain are not competitive withmore »
- Authors:
-
[1];
[1];
[3]
- Colorado State Univ., Fort Collins, CO (United States)
- Univ. of New Mexico, Albuquerque, NM (United States)
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 2007265
- Report Number(s):
- LLNL-JRNL-827388
Journal ID: ISSN 0045-7930; 1042482
- Grant/Contract Number:
- AC52-07NA27344; B643713; B647699
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computers and Fluids
- Additional Journal Information:
- Journal Volume: 261; Journal ID: ISSN 0045-7930
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Turbulence; Parallel in time; Multigrid reduction in time
Citation Formats
Guzik, Stephen M., Christopher, Joshua, Walters, Sean, Gao, Xinfeng, Schroder, Jacob B., and Falgout, Robert D. On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations. United States: N. p., 2023.
Web. doi:10.1016/j.compfluid.2023.105910.
Guzik, Stephen M., Christopher, Joshua, Walters, Sean, Gao, Xinfeng, Schroder, Jacob B., & Falgout, Robert D. On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations. United States. https://doi.org/10.1016/j.compfluid.2023.105910
Guzik, Stephen M., Christopher, Joshua, Walters, Sean, Gao, Xinfeng, Schroder, Jacob B., and Falgout, Robert D. Sat .
"On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations". United States. https://doi.org/10.1016/j.compfluid.2023.105910.
@article{osti_2007265,
title = {On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations},
author = {Guzik, Stephen M. and Christopher, Joshua and Walters, Sean and Gao, Xinfeng and Schroder, Jacob B. and Falgout, Robert D.},
abstractNote = {Simulations of turbulent flow present challenges in terms of accuracy and affordability on modern highly-parallel computer architectures. A multigrid-reduction-in-time algorithm is used to provide a framework for separately evolving different scales of turbulence and for parallelizing the temporal domain, thereby increasing the concurrency. It is hypothesized that the space–time locality of the small scales of turbulence can be used to circumvent difficulties in applying temporal multigrid to flows dominated by inertial physics. For algorithms that fall well short of spectral accuracy (fourth-order is used in this work) attention must be paid to the accuracy of features on scales transferred between multigrid levels. Numerical experiments were performed using implicit large-eddy simulation. Results from applying the approach to an infinite-Reynolds number Taylor–Green flow and a double-shear flow at a Reynolds number of 11650 provide strong evidence that the approach has merit. The multigrid-reduction-in-time framework can be used to parallelize the temporal domain of a high-Reynolds-number turbulent flow and permit independent convergence of different scales. Establishing this foundation allows for future research in reducing the wall-clock time to solve turbulent flows while retaining the same accuracy as sequential solvers. In conclusion, current performance results from parallelizing the temporal domain are not competitive with those from sequential-in-time methods.},
doi = {10.1016/j.compfluid.2023.105910},
journal = {Computers and Fluids},
number = ,
volume = 261,
place = {United States},
year = {Sat May 06 00:00:00 EDT 2023},
month = {Sat May 06 00:00:00 EDT 2023}
}
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