Verification of computer code GRAT using the Sizykh method

For the first time, special calculations were carried out and the results of verification of the GRAT program code using the method developed by G. B. Sizykh were presented. According to the method of Sizykh, these numerical solutions must, in the limit, satisfy certain properties (regularities), which, unlike the known conservation laws, are not included in difference schemes, but can be established analytically using equations describing the flow under consideration. The article poses and numerically solves the problem of a supersonic flow past an ideal perfect gas around a body of rotation with a smooth convex nose for two values of the angle of attack and Mach number. The results of calculations on grids with grinding showed that the pressure at the critical point on the body is close to its theoretical value, which, as proven by G. B. Sizykh, equal to the stagnation pressure behind the direct shock (with the same parameters of the oncoming supersonic flow). Thus, the property of equality of stagnation pressures can be used for verification and objective quantitative assessment of the accuracy of the code for various parameters of the computational grid.