Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2008.3361.3370DjavareshkianM.H. FarnakM. 122008819A 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
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