Thin-Layer Navier-Stokes Solutions for a Cranked Delta Wing

Abstract

For thin, highly swept wings operating at moderate to high angles of attack, flow over the wing is dominated by formation of leading edge vortices. These vortices produce a minimum pressure which results in an additional lift increment. The lift increment is nonlinear with angle of attack and cannot be accurately predicted using present design methods. Thin-layer Navier-Stokes equations were used to calculate flow over a straight delta wing and a cranked delta wing. The straight delta wing was used as the test case due to the availability of both experimental and numerical procedure. The computer code uses an implicit, time marching algorithm developed by Beam and Warming. The solution is marched in time until a steady state is achieved. The code is approximately factored and diagonalized in order to reduce computational work. A solid state disk is used to allow for the large grid needed for a 3-D solution. Thin-layer Navier-Stokes equations are capable of accurately calculating vortical flows. The cranked delta wing exhibited flow similar to a straight delta wing upstream of the crank. The vortex generated at the crank quickly became paired with the vortex from the front of the wing. Vortex location aft of the crank changes with streamwise location. Grid resolution is important when trying to calculate vortical flows due to the large gradients in both spanwise and normal directions. The solid state disk can be used to run problems that require more computer memory than is available. Optimization of the program input/output should be done for running the code with the solid state disk to reduce central processor unit time and job cost. Keywords: Numerical analysis; CFD; Aerodynamic lift. Theses

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA203292

Entities

People

  • Francis R. Smith

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Cyber
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aerodynamic Characteristics
  • Air Force
  • Aircrafts
  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Geometry
  • Navier Stokes Equations
  • Numerical Analysis
  • Steady State
  • Swept Wings
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Electrical Engineering
  • Fluid Mechanics and Fluid Dynamics.