On Estimation of Discretization Error Norm via Ensemble of Approximate Solutions

Abstract

The issue of single-grid discretization error estimator, operating in the postprocessor mode, is addressed in the paper. An ensemble of numerical solutions, obtained using solvers of different accuracy, is shown to provide an upper estimate for the norm of the discretization error. Numerical tests for the supersonic flows, governed by two dimensional Euler equations, confirm the feasibility for the norm estimation, if the ensemble of numerical solutions is separated into clusters of accurate and inaccurate solutions.