APPLICATION OF UNO SCHEME FOR STEADY AND TRANSIENT COMPRESSIBLE FLOW IN PRESSURE-BASED METHOD

Abstract

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