期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 26, 期 1, 页码 178-195出版社
SIAM PUBLICATIONS
DOI: 10.1137/S1064827503417198
关键词
adaptive finite element methods; duality; a posteriori error estimates; turbulent viscous incompressible flow; large eddy simulation
We derive a posteriori error estimates for the filtered velocity field in a large eddy simulation in various norms and linear functionals. The a posteriori error estimates take the form of an integral in space-time of a discretization residual and a modeling residual times a dual weight. The discretization residual is directly computable, and the modeling residual is estimated by a scale similarity model. We approximate the dual weight by solving an associated linearized dual problem numerically. Computational examples from transition to turbulence in Couette flow are presented.
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