Accession Number:

AD0753097

Title:

Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation-Law Hyperbolic Systems,

Descriptive Note:

Corporate Author:

TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES

Personal Author(s):

• Abarbanel,S.
• Gottlieb,D.

Report Date:

1972-02-01

Pagination or Media Count:

45.0

Abstract:

An explicit algorithm that yields finite difference equations that approximate the quasi-linear hyperbolic system to any desired accuracy, for an arbitrary number of space dimensions, is presented. Analytic stability proofs and criteria, in the case of one dimension for arbitrary order of accuracy, are given. Analytic stability proofs in the higher order dimensional cases, up to and including 3rd order accuracy with sufficient stability conditions, are shown. Numerical examples are compared with analytic solutions and demonstrate that the indicated accuracy was achieved. Author

Descriptors:

• (*GAS FLOW
• *PARTIAL DIFFERENTIAL EQUATIONS)
• DIFFERENCE EQUATIONS
• POLYNOMIALS
• NUMERICAL ANALYSIS
• THEOREMS
• ISRAEL
• ALGORITHMS

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE