Abstract
Simulations of a 2D unsteady turbulent boundary layer flow model with a quasi-simultaneous interaction method converge for attached and separated flow. The interaction method ensures that no singularity arises in the numerical system of equations. The singularity will occur if the interaction law coefficient is positive and higher in value than a critical value which depends on the applied flow model. An analysis of the eigenvalues of the system of equations proves this. A sign change in one of the eigenvalues causes the singularity and a proper value of the interaction law coefficient prevents this.
The value of the interaction law coefficient is chosen according to thin-airfoil theory. Simulations of flows over dented plates and airfoils show that this interaction law coefficient suffices to obtain converged results.
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Bijleveld, H.A., Veldman, A.E.P. (2014). Solving 2D Unsteady Turbulent Boundary Layer Flows with a Quasi-Simultaneous Interaction Method. In: Hölling, M., Peinke, J., Ivanell, S. (eds) Wind Energy - Impact of Turbulence. Research Topics in Wind Energy, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54696-9_27
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DOI: https://doi.org/10.1007/978-3-642-54696-9_27
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