High-resolution schemes for hyperbolic conservation laws

Technical Report · Mon Mar 01 04:00:00 EST 1982

OSTI ID:5286810

Harten, A

This paper presents a class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately 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: New York Univ., NY (USA). Courant Mathematics and Computing Lab.
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5286810
• Report Number(s): DOE/ER/03077-175; ON: DE82015473
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONSERVATION LAWS
DATA
DUCTS
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
FLUID MECHANICS
INFORMATION
ITERATIVE METHODS
MECHANICS
NOZZLES
NUMERICAL DATA
NUMERICAL SOLUTION
SHOCK WAVES
THEORETICAL DATA