The instance of the epistemic uncertainty quantification concerning the estimation of the approximation error norm is analyzed using the ensemble of numerical solutions obtained via independent numerical algorithms. The analysis is based on the geometry considerations: the triangle inequality and the diameter of the ensemble related with the measure concentration phenomenon in spaces of great dimension. In result, nonintrusive postprocessing may be performed that provides the approximation error norm estimation on the ensemble of the solutions. The ensemble of numerical results obtained by five OpenFOAM solvers (based on independent algorithms) is analyzed from this viewpoint. The numerical tests are made for the inviscid compressible flow around a cone at zero angle of attack. The norm of the approximation error and the error of the valuable functional (drag coefficient) are successfully estimated via ensemble based approach that is confirmed by the comparison with the etalon precise solution. The considered approach provides the error estimation with the acceptable value of the efficiency index.

使用通过独立数值算法获得的数值解的集合，分析了关于近似误差范数估计的认知不确定性量化的实例。该分析基于几何考虑：三角形不等式和集合的直径与大尺寸空间中的测量集中现象有关。结果，可执行非侵入式后处理，其提供关于解整体的近似误差范数估计。从这个角度分析了由五个OpenFOAM求解器（基于独立算法）获得的数值结果的整体。数值测试是针对在零迎角处围绕圆锥体的无粘性可压缩流进行的。通过基于集成的方法成功地估计了近似误差的范数和有价值的函数的误差（阻力系数），该方法通过与标准具精确解决方案的比较得到证实。考虑的方法为误差估计提供了效率指标的可接受值。