A pressure_based implicit procedure to solve the Euler equations on a nonorthogonal mesh with collocated finite volume formulations is described which uses pressure as a working variable. The boundedness criteria for this procedure are determined from Uniformly high_order accurate Non Oscillatory (UNO) schemes, which are based on characteristic variables and are applied to the fluxes of the convected quantities directly, including mass flow rate. The developed scheme is applied to the computation of steady transonic and supersonic flow over a bump in channel geometry for various Mach number as well as to the transient shock tube problem. Also the results of steady supersonic flow over a ramp are presented. Then the results are compared with data predicted by TVD schemes based on characteristic variables.

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