Some results concerning approximation of regularized compressible flow
Abstract
The nonlinear full potential equation for compressible aerodynamics is examined, centering on the conditions of the ratio of specific heats (gamma) for the gas. Error estimates for the finite element approximation to the regularized problem are given. Furthermore, a numerical experiment with gamma = 2 was carried out, yielding optimal rates of convergence in the H1 norm for calculations with triangular and quadratic elements.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 March 1985
 DOI:
 10.1002/fld.1650050309
 Bibcode:
 1985IJNMF...5..299D
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Error Analysis;
 Finite Element Method;
 Potential Theory;
 Boundary Value Problems;
 Discrete Functions;
 Elliptic Differential Equations;
 Equations Of State;
 Euler Equations Of Motion;
 Specific Heat;
 Subsonic Flow;
 Fluid Mechanics and Heat Transfer