Accession Number:

AD0738982

Title:

A General Finite Difference Method for Arbitrary Meshes,

Descriptive Note:

Corporate Author:

CATHOLIC UNIV OF AMERICA WASHINGTON D C

Personal Author(s):

Report Date:

1972-02-01

Pagination or Media Count:

31.0

Abstract:

A two-dimensional finite difference technique for irregular meshes is suggested to obtain derivatives up to the order of two. The technique enjoys two major advantages 1 avoidance of singularity in derivative coefficient matrix, and 2 better accuracy of derivatives than that obtained previously. For square meshes general derivative expressions for arbitrary meshes reduce to the usual central finite difference formulae. Example problems solved are a Poisson equation and the large deflection of a square flat membrane the solutions compare quite well with results obtained elsewhere. For problems with higher order derivative terms, two possible approaches are discussed. Author

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE