High resolution schemes for hyperbolic conservation laws

Journal Article · Tue Mar 01 00:00:00 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), Vol. 49:3
• Country of Publication: United States
• Language: English

Related Subjects

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