On numerical errors in the boundary conditions of the Euler equations

摘要

Numerical errors in solution of the Euler equations of fluid flow are studied. The error equations are solved to analyze the propagation of the discretization errors. In particular, the errors caused by the boundary conditions and their propagation are investigated. Errors generated at a wall are transported differently in subsonic and supersonic flows. Accuracy may be lost due to the accumulation of errors along the walls. This can be avoided by increasing the accuracy of the boundary conditions. Large errors may still arise locally at the leading edge of a wing profile. There, a fine grid is the best way to reduce the error.