Application of twostep integration procedures for hyperbolic equations
Abstract
It is pointed out that many physical flow processes are governed by nonlinear hyperbolic equations of a certain form, involving a conserved quantity G, a velocity field V, and a specified function of V and G. Very accurate finitedifference techniques have been developed for the solution of the considered equation. Considerable promise for a numerical solution of fluid flow problems shows the finite element method (FEM). Its main drawback is related to the lack of a broad experience base. The present investigation has the objective to study a group of twostep time integration procedures for the integration of the shock wave equations. Thus, a contribution is to be made towards the creation of a broader experience base with respect to the use of the finite element method for the solution of fluid flow problems. Attention is given to the use of linear and parabolic elements in the spatial discretization.
 Publication:

System Simulation and Scientific Computation
 Pub Date:
 1983
 Bibcode:
 1983sssc....1...85M
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 Flow Equations;
 Hyperbolic Differential Equations;
 Nonlinear Equations;
 Numerical Integration;
 Finite Difference Theory;
 One Dimensional Flow;
 Shock Tubes;
 Shock Wave Propagation;
 Time Series Analysis;
 Fluid Mechanics and Heat Transfer