Illposed design methods for the computation of inviscid flows
Abstract
It is shown here that the solutions of the governing partial differential equations fail to behave well for three wellknown methods of analysis and design for the computation of inviscid flows in turbomachines and for timedependent transonic airflows. The first two examples are related to flows in turbomachines: the socalled 'streamline curvature methods' and the proposition of C. H. Wu to reduce the solution of an essentially threedimensional internal flow problem to successive twodimensional ones. Finally, timedependent compressible and irrotational flows which employ the density and the velocity potential as dependent variables are considered.
 Publication:

Communications in Applied Numerical Methods
 Pub Date:
 February 1986
 Bibcode:
 1986CANM....2....1W
 Keywords:

 Computational Fluid Dynamics;
 Inviscid Flow;
 Numerical Stability;
 Transonic Flow;
 Compressible Flow;
 Computer Programs;
 Potential Flow;
 Stream Functions (Fluids);
 Three Dimensional Flow;
 Turbomachinery;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer