On Adjoint Equations for Error Analysis and Optimal Grid Adaptation in CFD

摘要

One challenge facing CFD is to be able to give tight error bounds so that an engineer knows the accuracy of the computed results. Leaving aside the difficult issue of assessing the magnitude of modelling errors due to turbulence and transition prediction, this requires an accurate estimate of the errors due to the discretisation of the system of p.d.e.'s. With such knowledge, one can then hope to develop a rigorous approach to optimal grid adaptation, to produce the most accurate solution for a given computational cost, or to minimise the computational cost in achieving a given level of accuracy.