An accurate and efficient gridless method is presented for calculation of unsteady flows at low and high reduced frequencies. A central gridless scheme is applied to solve unsteady flow equations in the arbitrary Lagrangian-Eulerian formulation. Taylor series least squares are used to discretize spatial derivatives at each node. Constrained weights optimization is proposed using a blend of second and fourth differences artificial dissipation terms. The proposed scheme leads to a faster gridless method with simple formulations and a reduction in flux computations. For time advancement, explicit and implicit dual-time methods are used. The segment spring analogy is applied to control/treat smoothness of the dynamic clouds and nodes movement. The capability and accuracy of the method are examined by comparing results of a multielement airfoil in steady flows and some test cases in unsteady flows with those from a finite-volume method and experimental data for low angles of attack at the prestall region. Results show a good agreement with the experimental data. Moreover, it is shown that the constraint weights optimization on the fast gridless method increases the efficiency and accuracy of the approach.
Efficient Gridless Method Using Constrained Weights Optimization for Two-Dimensional Unsteady Inviscid Flows at Low Angles of Attack
Journal of Aerospace Engineering ; 30 , 5
13.06.2017
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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