An Explicit Upwind Algorithm For Solving The Parabolized Navier Stokes Equations

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An Explicit Upwind Algorithm For Solving The Parabolized Navier Stokes Equations

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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-02

An Explicit Upwind Algorithm For Solving The Parabolized Navier Stokes Equations written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-02 with categories.

An explicit, upwind algorithm was developed for the direct (noniterative) integration of the 3-D Parabolized Navier-Stokes (PNS) equations in a generalized coordinate system. The new algorithm uses upwind approximations of the numerical fluxes for the pressure and convection terms obtained by combining flux difference splittings (FDS) formed from the solution of an approximate Riemann (RP). The approximate RP is solved using an extension of the method developed by Roe for steady supersonic flow of an ideal gas. Roe's method is extended for use with the 3-D PNS equations expressed in generalized coordinates and to include Vigneron's technique of splitting the streamwise pressure gradient. The difficulty associated with applying Roe's scheme in the subsonic region is overcome. The second-order upwind differencing of the flux derivatives are obtained by adding FDS to either an original forward or backward differencing of the flux derivative. This approach is used to modify an explicit MacCormack differencing scheme into an upwind differencing scheme. The second order upwind flux approximations, applied with flux limiters, provide a method for numerically capturing shocks without the need for additional artificial damping terms which require adjustment by the user. In addition, a cubic equation is derived for determining Vegneron's pressure splitting coefficient using the updated streamwise flux vector. Decoding the streamwise flux vector with the updated value of Vigneron's pressure splitting improves the stability of the scheme. The new algorithm is applied to 2-D and 3-D supersonic and hypersonic laminar flow test cases. Results are presented for the experimental studies of Holden and of Tracy. In addition, a flow field solution is presented for a generic hypersonic aircraft at a Mach number of 24.5 and angle of attack of 1 degree. The computed results compare well to both experimental data and numerical results from other algorithms. Computational times required for...

An Explicit Upwind Algorithm For Solving The Parabolized Navier Stokes Equations

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Author : John J. Korte
language : en
Publisher:
Release Date : 1991

An Explicit Upwind Algorithm For Solving The Parabolized Navier Stokes Equations written by John J. Korte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Aerodynamics, Hypersonic categories.

Nasa Technical Paper

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Author :
language : en
Publisher:
Release Date : 1990

Nasa Technical Paper written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Astronautics categories.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1992

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.

Theories And Technologies Of Hypervelocity Shock Tunnels

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Author : Zonglin Jiang
language : en
Publisher: Cambridge University Press
Release Date : 2023-10-26

Theories And Technologies Of Hypervelocity Shock Tunnels written by Zonglin Jiang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-26 with Technology & Engineering categories.

Introducing the state-of-the-art of hypervelocity shock tunnels, this complete reference features a variety of drivers and step-by-step introductions to their theories, physics, methods and testing. This book enables researchers and engineers in aerospace to design and improve wind tunnels that simulate flow qualities of real hypersonic flyers.

Nasa Technical Paper

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Author : United States. National Aeronautics and Space Administration
language : en
Publisher:
Release Date : 1990

Nasa Technical Paper written by United States. National Aeronautics and Space Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Aeronautics categories.

Aeronautical Engineering

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Author :
language : en
Publisher:
Release Date : 1991

Aeronautical Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Aeronautics categories.

Development And Testing Of A New Optimum Design Code For Hypersonic Wind Tunnel Nozzles Including Boundary Layer Turbulence And Real Gas Effects

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Author : Ralph C. Tolle
language : en
Publisher:
Release Date : 1996

Development And Testing Of A New Optimum Design Code For Hypersonic Wind Tunnel Nozzles Including Boundary Layer Turbulence And Real Gas Effects written by Ralph C. Tolle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Hypersonic wind tunnels categories.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1948

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mechanics, Applied categories.

Nasa Sp

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Author :
language : en
Publisher:
Release Date : 1992

Nasa Sp written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.