A nonstationary relaxation method for the CauchyRiemann and 1D Euler equations
Abstract
The CauchyRiemann equations and the 1D Euler equations are expressed in generalized coordinates and then cast in finite difference form by using central differencing throughout. The resulting matrix representation has an eigensystem that permits the development of an annihilation process using complex arithmetic in a block tridiagonal solver. Initial numerical experiments show that the process has potential for use as a relaxation procedure for the Euler equations.
 Publication:

6th Computational Fluid Dynamics Conference
 Pub Date:
 1983
 Bibcode:
 1983cfd..conf..697L
 Keywords:

 CauchyRiemann Equations;
 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 One Dimensional Flow;
 Relaxation Method (Mathematics);
 Steady Flow;
 Boundary Value Problems;
 Eigenvalues;
 Finite Difference Theory;
 Supersonic Flow;
 Fluid Mechanics and Heat Transfer