New explicit second order splittingup schemes for the computation of steady and unsteady flows
Abstract
Classes of splittingup schemes for the solution of threedimensional Euler equations and fully timedependent compressible viscous NavierStokes equations yield results for the cases of inviscid transonic steady or unsteady twodimensional flows with shocks, and of threedimensional turbomachine flows, which indicate that these schemes are well adapted for such computations. Novel classes of optimal splittingup schemes are also presented, including a dissipationoptimal scheme for the solution of a steady or unsteady shock problem that yields a numerically stable solution without artificial viscosity, and timeoptimal splittingup schemes for the solution of the Euler and NavierStokes equations.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1984
 Bibcode:
 1984STIA...8445187L
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Steady Flow;
 Unsteady Flow;
 Euler Equations Of Motion;
 NavierStokes Equation;
 Turbomachinery;
 Fluid Mechanics and Heat Transfer