Accession Number : AD0753165

Title :   Numerical Stabilizers and Computing Time for Second Order Accurate Schemes.

Descriptive Note : Scientific rept.,

Corporate Author : TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Eilon,B. ; Gottlieb,D. ; Zwas,G.

Report Date : 1972

Pagination or Media Count : 26

Abstract : The effects of various numerical stabilizers on the computing time for hyperbolic systems in more than one spatial variable are delineated and tested on a CDC 6600. The results are not only compared on the basis of real computing time, but are also compared at each time step with analytic solutions. It is shown that while the two-step method of Richtmyer gives the minimum computing time, it also has by far the largest errors of all the schemes and is particularly bad near boundaries. An alternate scheme, based on an original extension of Strang's method, is shown to give very rapid covergence and small error, even for the hydrodynamic equations. (Author)

Descriptors :   (*HYDRODYNAMICS, BOUNDARY VALUE PROBLEMS), (*COMPRESSIBLE FLOW, *NONLINEAR DIFFERENTIAL EQUATIONS), INTEGRAL TRANSFORMS, MATRICES(MATHEMATICS), STABILITY, COMPUTER PROGRAMMING, ISRAEL

Subject Categories : Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE