Abstract
In addition to design, control, and optimization applications, adjoint methods can be used to provide discretization error estimation and solution adaptation for solution functionals. This paper seeks to demonstrate the link between adjoint based error estimation, truncation errors, residuals, and discretization errors. The generalized truncation error expression is extended from finite difference schemes to finite volume schemes and is used to provide truncation error estimates for both 1D Burgers’ equation and the quasi-1D form of the Euler equations. Comparisons between different types of adaptation indicators and error estimation techniques are made.
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