Publisher : Korea Society of Computational Fluids Engineering
DOI : 10.6112/kscfe.2015.20.3.27
Title & Authors
DEVELOPMENT OF A PRECONDITIONED ADJOINT METHOD FOR ALL-SPEED FLOW ANALYSES OF QUASI ONE-DIMENSIONAL EULER EQUATIONS Lee, H.R.; Lee, S.;
In this study, preconditioned adjoint equations for the quasi one-dimensional Euler equations are developed, and their computational benefit at all speed is assessed numerically. The preconditioned adjoint equations are derived without any assumptions on the preconditioning matrix. The dissipation for Roe type numerical flux is also suggested to scale the dissipation term properly at low Mach numbers as well as at high Mach numbers. The new preconditioned method is validated against analytical solutions. The convergence characteristics over wide range of Mach numbers is evaluated. Finally, several inverse designs for the nozzle are conducted and the applicability of the method is demonstrated.
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