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Cell Averaging Chebyshev Methods For Hyperbolic Problems by Wei Cai

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1DTIC ADA221356: Cell Averaging Chebyshev Methods For Hyperbolic Problems

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This paper describes a cell averaging method for the Chebyshev approximations of first order hyperbolic equations in conservation form. We present formulas for transforming between pointwise data at the collocation points and cell averaged quantities, and vice-versa. This step, trivial for the finite difference and Fourier methods, is nontrivial for the global polynomials used in Spectral methods. We then prove that the cell averaging methods presented are stable for linear scalar hyperbolic equations and present numerical simulations of shock-density wave interaction using the new cell averaging Chebyshev methods. Keywords: Pseudospectral methods; Cell averaging techniques; Shock waves; Conservation laws.

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  • Title: ➤  DTIC ADA221356: Cell Averaging Chebyshev Methods For Hyperbolic Problems
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 10.57 Mbs, the file-s for this book were downloaded 63 times, the file-s went public at Mon Feb 26 2018.

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2NASA Technical Reports Server (NTRS) 19900011452: Cell Averaging Chebyshev Methods For Hyperbolic Problems

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A cell averaging method for the Chebyshev approximations of first order hyperbolic equations in conservation form is described. Formulas are presented for transforming between pointwise data at the collocation points and cell averaged quantities, and vice-versa. This step, trivial for the finite difference and Fourier methods, is nontrivial for the global polynomials used in spectral methods. The cell averaging methods presented are proven stable for linear scalar hyperbolic equations and present numerical simulations of shock-density wave interaction using the new cell averaging Chebyshev methods.

“NASA Technical Reports Server (NTRS) 19900011452: Cell Averaging Chebyshev Methods For Hyperbolic Problems” Metadata:

  • Title: ➤  NASA Technical Reports Server (NTRS) 19900011452: Cell Averaging Chebyshev Methods For Hyperbolic Problems
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 14.65 Mbs, the file-s for this book were downloaded 76 times, the file-s went public at Sat Sep 24 2016.

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