A Finite Element Method and Corresponding Pilot Computer Code for Hyperbolic Systems of Equations in Two Spatial Dimensions and Time Applied to Unsteady Gas Flows.

摘要

This report contains a discussion of a numerical method for solving systems of first order time dependent hyperbolic equations in two spatial variables. This scheme which combines the finite element methodology and the properties of a hyperbolic system of differential equations is applied to unsteady gas flow problems. The formulation is based on the elementwise least squares minimization of the differential residual error and on the construction of the finite elements in both space and time. The corresponding computer program is listed. Numerical experiments involving both smooth and shocked flows are discussed. Areas of possible future code development are proposed. (Author)