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[Computational methods for unsteady flows are discussed. These range from standard to modern advanced approaches. An extensive overview of temporal discretizations is given. Then adaptive time stepping approaches are outlined, including adjoint based methods. Spatial schemes are discussed, including modern higher order and resolution approaches. Numerical techniques for both density and pressure-based solvers are considered. The critical issue of numerical smoothing and its control are outlined. Also, the strong relationship between grid topology and solution accuracy is considered for a range of numerical schemes. Simultaneous equations solvers and also boundary conditions are discussed. For the latter there is a strong focus on non-reflective conditions. A survey of work suggests that even though a wide range of schemes is found, just small subsets of these find practical use.]
Published: Jun 4, 2013
Keywords: Adjoint; Numerical methods; Non-reflecting boundary conditions; High order; High resolution; Grid topology; Convective schemes; Temporal schemes; Adaptive time stepping
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