Accession Number:

ADA000394

Title:

Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations.

Descriptive Note:

Interim rept. no. 2, 1 Jun 73-14 May 74,

Corporate Author:

TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

• Abarbanel,S.
• Gottlieb,D.
• Turkel,E.

Report Date:

1974-06-01

Pagination or Media Count:

55.0

Abstract:

Two explicit finite difference schemes of fourth order accuracy in space and time are presented for the numerical solution of quasi-linear divergence free one dimensional hyperbolic systems. Both of these schemes are four step methods, one being a two level scheme, the other using three levels. These algorithms are compared in numerical examples with both second order schemes and with the DREISS-OLIGER method which is fourth order in space and second order in time. The results show that it is most advantageous to use the true fourth order schemes. Author

Descriptors:

• *FINITE DIFFERENCE THEORY
• *FLUID FLOW
• ISRAEL
• COMPUTATIONS
• APPROXIMATION(MATHEMATICS)
• HYDRODYNAMICS

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE