Accession Number : AD0676317

Title :   ON THE DERIVATION OF THREE-DIMENSIONAL SECOND ORDER ACCURATE HYDRODYNAMIC DIFFERENCE SCHEMES.

Descriptive Note : Research rept.,

Corporate Author : POLYTECHNIC INST OF BROOKLYN FARMINGDALE N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Rubin,Ephraim L. ; Preiser,Stanley

Report Date : JUL 1968

Pagination or Media Count : 20

Abstract : The paper indicates how a second order accurate two step method used in the numerical computation of hydrodynamic flows may be derived directly from the integral conservation laws. The result of Anderson, Preiser and Rubin makes it immediately applicable to arbitrary orthogonal curvilinear coordinate systems. A necessary and sufficient condition for stability is derived for the three-dimensional Cartesian coordinate case. (Author)

Descriptors :   (*HYDRODYNAMICS, DIFFERENTIAL GEOMETRY), (*INTEGRAL EQUATIONS, NUMERICAL ANALYSIS), FLUID FLOW, DIFFERENCE EQUATIONS, APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, TRANSCENDENTAL FUNCTIONS, MATRICES(MATHEMATICS), STABILITY

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE