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Publications Influence

A cubic spline approximation for problems in fluid mechanics

- S. Rubin, R. A. Graves
- Mathematics
- 1 October 1975

A cubic spline approximation is presented which is suited for many fluid-mechanics problems. This procedure provides a high degree of accuracy, even with a nonuniform mesh, and leads to an accurate… Expand

114 12

Incompressible flow along a corner

- S. Rubin
- Physics
- 1 September 1966

The incompressible viscous flow along a right-angle corner, formed by the intersection of two semi-infinite flat plates, is considered. The effect of the three-dimensional geometry on the… Expand

85 10

A diagonally dominant second-order accurate implicit scheme

Abstract An unconditionally stable second order accurate, implicit, finite difference method is described. The coefficient matrix is tridiagonal and always diagonally dominant. As an illustrative… Expand

475 5

Viscous flow solutions with a cubic spline approximation

- S. Rubin, R. A. Graves
- Mathematics
- 1 March 1975

Abstract A cubic spline approximation is used for the solution of several problems in fluid mechanics. This procedure provides a high degree of accuracy even with a non-uniform mesh, and leads to a… Expand

177 4

Polynomial interpolation methods for viscous flow calculations

Abstract Higher-order collocation procedures resulting in tridiagonal matrix systems are derived from polynomial spline interpolation and by Hermitian (Taylor series) finite-difference… Expand

165 3

Parabolized reduced Navier-Stokes computational techniques

- S. Rubin, J. C. Tannehill
- Physics
- 1992

A review is presented of methods in which composite or reduced Navier-Stokes (RNS) equations are treated with a pressure-gradient-based flux-vector splitting. The methods are similar to large Re… Expand

83 3

Viscous flow along a corner: Numerical solution of the corner layer equations

- S. Rubin, B. Grossman
- Mathematics
- 1 July 1971

57 2

Numerical METHODS FOR Two- and Three-Dimensional Viscous Flow Problems: Applications to Hypersonic Leading Edge Equations,

Abstract : Several explicit and implicit finite-difference methods, useful for treating two- and three-dimensional viscous flow problems, are compared. These techniques are applied to the… Expand

5 2

Asymptotic features of viscous flow along a corner

The asymptotic behavior of the equations governing the viscous flow along a right-angle corner is considered. It is demonstrated that consistent asymptotic series exist for the inner corner layer… Expand

40 2- PDF

Non-Navier Stokes viscous flow computations☆

Abstract the present paper addresses the basis and advantages of non-Navier Stokes flow computations as compared to solution of the full equations. Several “parabolic” or “thin layer” approximations… Expand

55 2

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