Error control in computational fluid dynamics (CFD) has been crucial for reliability and efficiency of numerical flow simulations. The roles of truncation and rounding errors in difference approximations are discussed. Truncation error control is reviewed for ODEs. For difference approximations of PDEs, discretization error control by Richardson extrapolation is outlined. Applications to anisotropic grid adaptation in CFD are shown. Alternative approaches of error control in CFD are mentioned.
Note: Invited lecture to appear in the Proceedings of the 20th Aerospace Numerical Simulation Symposium at the National Aerospace Laboratory of Japan, held in Tokyo on July 3-5, 2002
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