advertisement

Computational Simulation of Supersonic Delta wings

50 %
50 %
advertisement
Information about Computational Simulation of Supersonic Delta wings
Education

Published on January 9, 2008

Author: Bruno

Source: authorstream.com

advertisement

Computational Simulation of Supersonic Delta-wings:  Computational Simulation of Supersonic Delta-wings Mentor: Dr. Sritharan, Chairman of Department of Mathematics Presenter: Jingling Guan Department of Mathematics Introduction:  Introduction A delta-wing is a wing whose shape looks like a triangle when viewed from above. Delta-wings are very efficient in high-speed flight. What are Delta-wings? Introduction:  Introduction Several Popular Delta-wings Delta wings were used on several military aircrafts that had a need for speed. YF 102 Introduction:  Introduction Several Popular Delta-wings Concorde Introduction:  Introduction Several Popular Delta-wings Introduction:  Introduction What is Supersonic Speed? Supersonic Speed is the speed faster than the speed of the sound. Introduction:  Introduction What are Shock Waves? A shock wave is a very strong pressure wave in air, produced by supersonic crafts, that creates sudden, huge changes in pressure. Shock waves are very important in designing an aircraft, because the change of pressure will influence the performance of aircrafts. Introduction:  Introduction Design Requirements - Transonic leading edge ---cross flow shocks - Attached flow ---shock free or contains only weak shocks Hence, it would be very helpful if we can find a numerical method to study the behavior of the cross-flow around the wing. Coordinate Systems:  Coordinate Systems Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan To find such a numerical method, first, the intersect of the wing is modeled in the spherical coordinate system. Intersect of an elliptic wing Coordinate Systems:  Coordinate Systems Coordinate Systems:  Coordinate Systems A 3D plot of the grids in the spherical coordinate system. Coordinate Systems:  Coordinate Systems Stereographic Projection A B O Coordinate Systems:  Coordinate Systems A plot of the grids on a plane after stereographic projection Transformation of the Coordinate Systems:  Transformation of the Coordinate Systems Joukowski’s transformation Coordinate Systems:  Coordinate Systems By a simple shearing, the circular computational domain will be transformed into a rectangular region. Transformation of the Coordinate Systems:  Transformation of the Coordinate Systems The first Fundamental Form Cartesian system Any coordinate system α,β=1, 2 Transformation of the Coordinate Systems:  Transformation of the Coordinate Systems The first Fundamental Form (continued) Metric Tensor Governing PDE:  Governing PDE The Governing Partial Differential Equation Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Governing PDE:  Governing PDE The density Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Governing PDE:  Governing PDE Also, we have the velocity defined on the unit sphere Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Governing PDE:  Governing PDE By substituting the previous equations, we get: Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Sonic Line:  Sonic Line Sonic Line Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan On the sonic line, the governing PDE changes type between elliptic and hyperbolic. Numerical Method:  Numerical Method The geometric quantities at the center of primary cells 1. metric tensor in the spherical coordinate system Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Numerical Method:  Numerical Method The geometric quantities at the center of primary cells 2. metric tensor in the mapped coordinate system Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Numerical Method:  Numerical Method The geometric quantities at the center of primary cells 3. Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan 1 2 3 4 Numerical Method:  Numerical Method The flow quantities Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Numerical Method:  Numerical Method The flow quantities (continued) Source: Nonlinear Aerodynamics of Conical Delta Wings, Dr. S. S. Sritharan Computational Results:  Computational Results 3-D Plot of the Sonic Line angle of attack=10o Computational Results:  Computational Results 3-D Plot of the Sonic Line angle of attack=10o Computational Results:  Computational Results 3-D Plot of the Sonic Line angle of attack=20o Computational Results:  Computational Results 3-D Plot of the Sonic Line angle of attack=20o Computational Results:  Computational Results 3-D Plot of the Sonic Line angle of attack=10o, elliptic wing Computational Results:  Computational Results 3-D Plot of the Sonic Line angle of attack=10o, elliptic wing Summary:  Summary Transformation of Coordinate Systems Governing PDE Numerical Method 3-D Numerical Results Many things can be done based on the research results. This research project is based on Nonlinear Aerodynamics of Conical Delta Wings, by Dr. S. S. Sritharan Special Thanks to::  Special Thanks to: Dr. Sritharan Wyoming EPSCoR Dr. Lynne Ipina Mr. John Spitler Regent Thanks everybody for coming! Questions? Comments?:  Questions? Comments?

Add a comment

Related presentations

Related pages

CFD SIMULATION OF SUPERSONIC SWIRLING SEPARATION OF ...

CFD SIMULATION OF SUPERSONIC ... physical property of fluids in supersonic flows. In this simulation, ... In the supersonic separator, the delta wing ...
Read more

COMPUTATIONAL ANALYSES OF SUPERSONIC FLOWS OVER A DELTA ...

5 COMPUTATIONAL ANALYSES OF SUPERSONIC FLOWS OVER A DELTA WING AT HIGH ANGLES OF ATTACK 3.1.3 Locations of the Primary Vortex Core Figure 8 shows how the ...
Read more

COMPUTATIONAL AND EXPERIMENTAL STUDY OF A SUPERSONIC LEE ...

European Congress on Computational ... Its appearance in numerical simulations ... a detailed study of the structure of a supersonic °ow around a delta ...
Read more

AIAA-93-3472-CP SUPERSONIC 'VORTEX BREAKDOWN OVER A DELTA ...

SUPERSONIC VORTEX BREAKDOWN OVER A DELTA WING IN ... Computational simulations for transonic delta-wing ... cropped delta wing. The computational ...
Read more

NUMERICAL SIMULATION OF SUPERSONIC AND HYPERSONIC FLOW ...

NUMERICAL SIMULATION OF SUPERSONIC AND HYPERSONIC FLOW AROUND DELTA WINGS IN ... investigations of supersonic and hypersonic flow around a thick delta wing.
Read more

Computational study of incipient leading-edge separation ...

Computational Study of Incipient Leading-Edge Separation on a Supersonic Delta Wing ... A computational study on a 65 deg delta wing at a freestream ...
Read more

PPT – Computational Simulation of Supersonic Deltawings ...

On the sonic line, the governing PDE changes type between elliptic and hyperbolic. ... 3-D Plot of the Sonic Line. angle of attack=10o, elliptic wing ...
Read more

Oscillating Supersonic delta wing with Straight Leading Edges

Oscillating Supersonic delta wing with Straight Leading Edges ... International Journal Of Computational Engineering Research (ijceronline.com) ...
Read more

High-resolution Navier-Stokes computation of vortical flow ...

Supersonic Delta Wing C. H. Tai,* C. Y. Soong,t and S. L. Yin$ ... Study of Computational Methods in Cosmic Gas Dynamics," Astronomy and Astrophysics, Vol ...
Read more

Computational analysis of viscous hypersonic flow over ...

Computational analysis of viscous hypersonic flow ... Numerical simulations for the laminar ... It is known that for blunt edged delta wings at ...
Read more