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Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers

https://doi.org/10.1007/s10915-018-0670-5

Rong, Yao ; Layton, William ; Zhao, Haiyun ( September 2018 , Journal of Scientific Computing)

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Extension of a simplified Baldwin–Lomax model to nonequilibrium turbulence: Model, analysis and algorithms

https://doi.org/10.1002/num.22380

Rong, Yao ; Layton, William ; Zhao, Haiyun ( May 2019 , Numerical Methods for Partial Differential Equations)

Abstract
Complex turbulence not at statistical equilibrium is impossible to simulate using eddy viscosity models due to a backscatter. This research presents the way to correct the Baldwin–Lomax model for nonequilibrium effects and gives an analysis of the energy evolution in the corrected model. Furthermore, a finite element approximation of the corrected eddy model with first‐order and second‐order time discretization is also presented. A numerical test is given to support the theory.

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