On the numerical approximation of nonlinear hyperbolic problems: Application to the dynamics of compressible gas
Abstract
Theoretical and approximation problems involving the theory of gas dynamics are discussed. The mathematical model used to represent these physical phenomena is the system of Euler conservation laws equations. Numerical approximation of the solutions were obtained by boundary value problems. The numerical solution results are based on the finite volume method which is the most currently applied to conservation laws. The boundary value problem convergence was obtained by the finite volume method, and by using the uniqueness solutions of the conservation law equations.
 Publication:

Ph.D. Thesis
 Pub Date:
 September 1992
 Bibcode:
 1992PhDT........64B
 Keywords:

 Boundary Value Problems;
 Compressible Flow;
 Computational Fluid Dynamics;
 Finite Volume Method;
 Hyperbolic Differential Equations;
 Convergence;
 Nonlinear Systems;
 Fluid Mechanics and Heat Transfer