Resolution Of The Pressure Equation By The Boundary Element Method In Multistaged Turbomachineries

The application of the BEM to the resolution of the pressure equation in a multistaged turbomachinery is presented. The numerical treatment of the pressure equation is briefly described. Some improvements to the classical BEM are presented that ensures the accuracy of the results. They are necessary to ensure a good accuracy of the results in a curved geometry as encountered in turbomachinery. The technique of resolution in a complete stage of turbomachinery (stator+ rotor) is presented. The aim is to solve the pressure equation in such a case as easily as in the case of a simple row. Firstly a subdomain technique is presented that allows to take into account a moving mesh. Secondly the management of the rotation of the rotor is described and a result on a simple geometry is presented. NOTATIONS P pressure p correction of pressure u flow velocity p volumic mass r distance between the impact point and a point of the surface element u* fundamental function ( ) z smallest distance between the impact point and an element 1 1 ,\2 lengths of a surface element Ng number of quadrature points w solid angle Transactions on Modelling and Simulation vol 1, © 1993 WIT Press, www.witpress.com, ISSN 1743-355X