An efficient algorithm for simulating ensembles of parameterized flow problems
- Department of Scientific Computing, Florida State University, Tallahassee, USA
- Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA
- Department of Mathematics, University of South Carolina, Columbia, USA
Abstract Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the individually independent members of the set are subject to different viscosity coefficients, initial conditions and/or body forces. The proposed scheme, when applied to the flow ensemble, needs to solve a single linear system with multiple right-hand sides, and thus is computationally more efficient than solving for all the simulations separately. We show that the scheme is nonlinearly and long-term stable under certain conditions on the time-step size and a parameter deviation ratio. A rigorous numerical error estimate shows the scheme is of first-order accuracy in time and optimally accurate in space. Several numerical experiments are presented to illustrate the theoretical results.
- Research Organization:
- Florida State Univ., Tallahassee, FL (United States); Univ. of South Carolina, Columbia, SC (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- SC0009324; SC0016540; SC0016591
- OSTI ID:
- 1611201
- Journal Information:
- IMA Journal of Numerical Analysis, Vol. 39, Issue 3; ISSN 0272-4979
- Publisher:
- Oxford University Press/Institute of Mathematics and its Applications
- Country of Publication:
- United States
- Language:
- English
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