Accession Number:

ADA364301

Title:

High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI

Descriptive Note:

Final rept. 1 Aug 97-31 Jul 98

Corporate Author:

AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH AIR VEHICLES DIRECTORATE

Personal Author(s):

• Gaitonde, Datta V.
• Visbal, Miguel R.

Report Date:

1998-08-01

Pagination or Media Count:

50.0

Abstract:

A spectrum of higher-order schemes is developed to solve the Navier-Stokes equations in finite-difference formulations. Pade type formulas of up to sixth order with a five-point stencil are developed for the difference scheme. Viscous terms are treated by successive applications of the first derivative operator. However, formulas are also derived for use in a mid-point interpolation-differentiation strategy. For numerical stability, up to tenth-order filtering schemes are developed. The spectral properties of the differentiation and filtering schemes are examined and guidelines are provided to choose proper filter coefficients. Special high-order formulas are obtained for differentiation and filtering in the vicinity of boundaries. The coefficients required for systematic implementation of Neumann-type boundary conditions are also presented. A brief description is provided of the manner in which the FDL3DI code is enhanced by coupling the approximately-factored procedure with these compact-difference based algorithms and by incorporating an explicit fourth-order Runge-Kutta scheme.

Descriptors:

• *COMPUTATIONAL FLUID DYNAMICS
• *FINITE DIFFERENCE THEORY
• *NAVIER STOKES EQUATIONS
• ALGORITHMS
• COMPUTERIZED SIMULATION
• MATHEMATICAL FILTERS
• INTERPOLATION
• HYDRODYNAMIC CODES
• APPLIED MATHEMATICS
• INVISCID FLOW
• VISCOUS FLOW
• RUNGE KUTTA METHOD

Subject Categories:

• Operations Research
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE