An efficient algorithm for simulating ensembles of parameterized flow problems
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 24, 2018
- Source ID
- 10.1093/imanum/dry029
Entities
People
- Max Gunzburger
- Nan Jiang
- Zhu Wang
Organizations
- Air Force Office of Scientific Research
- Florida State University
- Missouri University of Science and Technology
- National Science Foundation
- United States Department of Energy
- University of South Carolina