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Abstract
This article develops a finite-element-based methodology for the numerical stimulation of the compressible Navier-Stokes equations on unstructured triangular meshes [1]. The flow solver uses a Galerkin finite-element discretization in space and an explicit Runge-Kutta multistage integration in time. Element-based and edged-based finite-element approximations for the discretization of the viscous terms in these equations are presented. Acceleration techniques, such as multigrid, local time-stepping, and residual smoothing are used for the computation of the steady-state solutions. The modeling of turbulent flow is accomplished by using the Reynolds-averaged form of the Navier-Stokes equation and an eddy viscosity model for the turbulent stresses. Two of such models, the algebraic model of Baldwin and Lomax and the one-equation model of Baldwin and Barth, are implemented and validated. The performance and accuracy of the proposed numerical technique is demonstrated for a variety of external-flow test cases.
Notes
Address correspondence to Dr. Chung-Ho Liu, Chung Cheng Institute of Technology, Department of Aeronautical Engineering, Ta-Hsi, Tao-Yuan, 33509, Taiwan, Republic of China. E-mail: [email protected].