An implicit-explicit Eulerian Godunov scheme for compressible flow
- Naval Surface Warfare Center, Silver Spring, MD (United States)
- Univ. of California, Berkeley, CA (United States)
- Univ. of Maryland, College Park, MD (United States)
A hybrid implicit-explicit scheme is developed for Eulerian hydrodynamics. The hybridization is a continuous switch and operates on each characteristic field separately. The explicit scheme is a version of the second-order Geodunov scheme; the implicit method is only first-order accurate in time but leads to a block tridiagonal matrix inversion for efficiency and is unconditionally stable for the case of linear advection. The methodology is described for the cases of linear advection, for nonlinear scalar problems, and for gas dynamics. An important element of our work is the use of a modified Engquist-Osher flux function in place of the Godunov flux. Several numerical results are presented to demonstrate the properties of the method, especially stable numerical shocks at very high CFL numbers and second-order accurate steady states. 24 refs., 6 figs., 2 tabs.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 105452
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 116; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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