TAYLOR-GALERKIN METHOD FOR NONLINEAR HYPERBOLIC EQUATIONS
New finite element schemes are proposed for calculating transient solutions to systems of nonlinear hyperbolic equations. The differential problem is first discretized in time by means of a Taylor series expansion in which the time derivatives of the unknowns are expressed in terms of the governing equations and their derivatives. The generalized time discretized system so obtained is subsequently discretized in space by means of the standard Galerkin finite element method. Two parameter free single-step implicit schemes are presented which are second order accurate for smooth solutions. The numerical performances of the new Taylor-Galerkin schemes are assessed by computing numerical solutions of the Euler equations in one dimension.
Bibliographic Reference: INTERNATIONAL CONFERENCE ON NUMERICAL METHODS FOR TRANSIENT AND COUPLED PROBLEMS, VENEZIA (ITALY), JULY 9-13, 1984 WRITE TO CEC LUXEMBOURG, DG XIII/A2, POB 1907 MENTIONING PAPER E 31487 ORA
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Record Number: 1989122072100 / Last updated on: 1987-01-01
Available languages: en