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Shape Optimization Governed By The Euler Equations Using An Adjoint Method

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1NASA Technical Reports Server (NTRS) 19940015619: Shape Optimization Governed By The Euler Equations Using An Adjoint Method

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A numerical approach for the treatment of optimal shape problems governed by the Euler equations is discussed. Focus is on flows with embedded shocks. A very simple problem is considered: the design of a quasi-one-dimensional Laval nozzle. A cost function and a set of Lagrange multipliers are introduced to achieve the minimum. The nature of the resulting costate equations is discussed. A theoretical difficulty that arises for cases with embedded shocks is pointed out and solved. Finally, some results are given to illustrate the effectiveness of the method.

“NASA Technical Reports Server (NTRS) 19940015619: Shape Optimization Governed By The Euler Equations Using An Adjoint Method” Metadata:

  • Title: ➤  NASA Technical Reports Server (NTRS) 19940015619: Shape Optimization Governed By The Euler Equations Using An Adjoint Method
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 17.98 Mbs, the file-s for this book were downloaded 57 times, the file-s went public at Mon Oct 03 2016.

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2DTIC ADA274347: Shape Optimization Governed By The Euler Equations Using An Adjoint Method

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In this paper we discuss a numerical approach for the treatment of optimal shape problems governed by the Euler equations. In particular, we focus on flows with embedded shocks. We consider a very simple problem: the design of a quasi-one-dimensional Laval nozzle. We introduce a cost function and a set of Lagrange multipliers to achieve the minimum. The nature of the resulting costate equations is discussed. A theoretical difficulty that arises for cases with embedded shocks is pointed out and solved. Finally, some results are given to illustrate the effectiveness of the method.

“DTIC ADA274347: Shape Optimization Governed By The Euler Equations Using An Adjoint Method” Metadata:

  • Title: ➤  DTIC ADA274347: Shape Optimization Governed By The Euler Equations Using An Adjoint Method
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 12.98 Mbs, the file-s for this book were downloaded 56 times, the file-s went public at Wed Mar 14 2018.

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Abbyy GZ - Archive BitTorrent - DjVuTXT - Djvu XML - Item Tile - Metadata - OCR Page Index - OCR Search Text - Page Numbers JSON - Scandata - Single Page Processed JP2 ZIP - Text PDF - chOCR - hOCR -

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