An unconditionally stable implicit method for hyperbolic conservation laws

✍ Scribed by P. Wilders

• Book ID: 104624080
• Publisher: Springer
• Year: 1985
• Tongue: English
• Weight: 505 KB
• Volume: 19
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00055039

✦ Synopsis

We construct a space-centered self-adjusting hybrid difference method for one-dimensional hyperbolic conservation laws. The method is linearly implicit and combines a newly developed minimum dispersion scheme of the first order with the recently developed second-order scheme of Lerat. The resulting method is unconditionally stable and unconditionally diagonally dominant in the linearized sense. The method has been developed for quasi-stationary problems, in which shocks play a dominant role. Numerical results for the unsteady Euler equations are presented. It is shown that the method is non-oscillatory, robust and accurate in several cases.