A Second-Order Iterative Implicit–Explicit Hybrid Scheme for Hyperbolic Systems of Conservation Laws

✍ Scribed by Wenlong Dai; Paul R. Woodward

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 544 KB
• Volume: 128
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0202

✦ Synopsis

significantly different wave speeds. For those phenomena mainly associated with waves which have relatively small

An iterative implicit-explicit hybrid scheme is proposed for hyperbolic systems of conservation laws. Each wave in a system may be wave speeds, a small time step in an explicit scheme is one implicitly, or explicitly, or partially implicitly and partially explicitly of the main restrictions which limits the efficiency of an treated depending on its associated Courant number in each numerexplicit scheme in a simulation.

ical cell, and the scheme is able to smoothly switch between implicit Implicit and implicit-explicit hybrid schemes for fluid and explicit calculations. The scheme is of Godunov-type in both explicit and implicit regimes, is in a strict conservation form, and dynamics have been developed for many years [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. is accurate to second-order in both space and time for all Courant Beam and Warming [10] proposed an implicit scheme for numbers. The computer code for the scheme is easy to vectorize. hyperbolic systems of conservation laws. Engquist and Multicolors proposed in this paper may reduce the number of itera-Osher [11] proposed a method for transonic flows. Van tions required to reach a converged solution by several orders for Leer and Mulder [12] developed a scheme which is timea large time step. The feature of the scheme is shown through numerical examples.