Finite Spectral Semi-Lagrangian Method for Incompressible Flows
LI Shao-Wu**, WANG Jian-Ping
State Key Laboratory on Turbulence and Complex System, and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871
Finite Spectral Semi-Lagrangian Method for Incompressible Flows
LI Shao-Wu**, WANG Jian-Ping
State Key Laboratory on Turbulence and Complex System, and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871
摘要A new semi-Lagrangian (SL) scheme is proposed by using finite spectral regional interpolation and adequate numerical dissipation to control the nonlinear instability. The finite spectral basis function is C1 continuous at the boundary and is easy to construct. Comparison between numerical and experimental results indicates that the present method works well in solving incompressible Navier–Stokes equations for unsteady flows around airfoil with different angles of attack.
Abstract：A new semi-Lagrangian (SL) scheme is proposed by using finite spectral regional interpolation and adequate numerical dissipation to control the nonlinear instability. The finite spectral basis function is C1 continuous at the boundary and is easy to construct. Comparison between numerical and experimental results indicates that the present method works well in solving incompressible Navier–Stokes equations for unsteady flows around airfoil with different angles of attack.
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