A natural formulation for numerical solution of the Euler equations
Abstract
QAZ1D, a formulation employing an arbitrary computational grid with natural streamline coordinates in the numerical solution of the Euler equations, is presented and demonstrated. Riemann variables extended to include entropy are used to express the multidimensional Euler equations, permitting their reduction to a mildly coupled quasi1D system with unambiguously defined eigenvalues. The characteristic trajectories of the equations can control the reformulation of the Euler equations in the spacetime domain and again reduce them to ordinary differential expressions soluble by quadrature and interpolation. The algorithm based on this procedure is found to be efficient, codable, explicit, and vectorizable. Its accuracy is demonstrated in sample applications to simple 1D and 2D flow problems at all Mach numbers. Graphs and diagrams are provided.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1984
 Bibcode:
 1984aiaa.meetS....V
 Keywords:

 Aerodynamics;
 Computational Fluid Dynamics;
 Computational Grids;
 Euler Equations Of Motion;
 Three Dimensional Flow;
 Laminar Flow;
 Pressure Drag;
 Riemann Waves;
 Shock Tubes;
 Fluid Mechanics and Heat Transfer