High resolution schemes for hyperbolic conservation laws

Journal Article · Mon Feb 28 23:00:00 EST 1983 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(83)90136-5· OSTI ID:6043099

Harten, A

A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an apppropriately modified flux function. The so-derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes.

• Research Organization: School of Mathematical Sciences, Tel-Aviv University, Ramat Aviv, Israel
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 6043099
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 49:3; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410 -- Fluid Physics-- General Fluid Dynamics
658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY-VALUE PROBLEMS
CONSERVATION LAWS
EIGENVALUES
FINITE DIFFERENCE METHOD
FLUID FLOW
GAS FLOW
ITERATIVE METHODS
NONLINEAR PROBLEMS
NOZZLES
NUMERICAL SOLUTION