Patent ID: 9384169
Filing Date: 2016-07-05
CPC Classification: G06F,Y02T

Claim Text:
1. A computer implemented numerical method for solving an inverse problem in subsonic flows, comprising: transforming a set of two-dimensional Euler equations in the Eulerian plane, using a transforming matrix with Jacobian into a stream-function transformation in a stream-function plane expressed by a time τ-direction, a stream-function ξ-direction and a particle traveling distance λ-direction, so-called two-dimensional Euler equations in the stream formulation in the stream-function plane formally are where f where ρ, p, and E are respectively density, pressure and total energy, u, v are two velocity components in a Cartesian coordinator system; U, V are two stream-function geometry state variables; building a computing grid in the stream-function plane, using the computer; solving so-called two-dimensional Euler equations in the stream-function formulation in the computing grid in the stream-function plane, using the computer, including solving a Riemann problem across a streamline presenting a solid-wall with a prescribed pressure distribution on the solid-wall to determine a flow angle; calculating a solid wall angle associated with the solid wall based on the determined flow angle; and determining a geometric shape of an aerodynamic solid-wall of a nozzle using the prescribed pressure distribution on the solid wall and the solid wall angle, wherein the determined geometric shape matches with an original geometric shape of the solid wall of the nozzle.