Nonconservative hybrid shock capturing schemes

Journal Article · Mon Mar 01 04:00:00 EST 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1048· OSTI ID:6039650

Harabetian, E; Pego, R ^[1]

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1. Michigan Univ., Ann Arbor (United States) Maryland Univ., College Park (United States)

The efficient numerical approximations for hyperbolic systems of conservation laws presently examined are obtained by hybridizing simple, accurate centered difference schemes suitable for smooth regions with sophisticated shock-capturing schemes for narrow zones near shocks and other singularities. The present switching strategies, while flexibly allowing independent choice among schemes for different flow regions, are also cautious, as demonstrated by 1D numerical examples. Attention is given to a switching strategy that yields convergence to the entropy solution. 21 refs.

• OSTI ID: 6039650
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 105:1; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
COMPUTERIZED SIMULATION
CONVERGENCE
ENTROPY
FLUID FLOW
ITERATIVE METHODS
MESH GENERATION
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
RUNGE-KUTTA METHOD
SHOCK WAVES
SIMULATION
SUPERSONIC FLOW
THERMODYNAMIC PROPERTIES