An implicit-explicit Eulerian Godunov scheme for compressible flow

Journal Article · Wed Feb 01 00:00:00 EST 1995 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1995.1021· OSTI ID:105452

Collins, J P ^[1]; Colella, P ^[2]; Glaz, H M ^[3]

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1. Naval Surface Warfare Center, Silver Spring, MD (United States)
2. Univ. of California, Berkeley, CA (United States)
3. 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, Vol. 116, Issue 2; Other Information: PBD: Feb 1995
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
COMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
ITERATIVE METHODS
NUMERICAL SOLUTION
HYDRODYNAMICS
ADVECTION
ALGORITHMS
NONLINEAR PROBLEMS
FINITE DIFFERENCE METHOD