Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov`s method

Journal Article · Fri Aug 01 00:00:00 EDT 1997 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1997.5704· OSTI ID:621431

Leer, B van ^[1]

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1. University Observatory, Leiden (Netherlands)

This paper discusses a second-order accuracy integration method based on a one-dimensional Lagrangean scheme which is a second-order sequel to Godunov method. But unlike the Godunov method this method achieves second-order accuracy by taking the distributions of the state inside a gas slab to be linear, rather than uniform. This method is applied to integral equations of ideal two-dimensional compressible flow problems. 20 refs., 15 figs., 1 tab.

• OSTI ID: 621431
• Journal Information: Journal of Computational Physics, Vol. 135, Issue 2; Other Information: PBD: Aug 1997
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
66 PHYSICS
FINITE DIFFERENCE METHOD
COMPRESSIBLE FLOW
EQUATIONS OF STATE
MESH GENERATION
BOUNDARY CONDITIONS
ALGORITHMS
FLOW MODELS
EQUATIONS OF MOTION