Numerical Methods for Solving N–S Equations

Frank Stenger, Don Tucker and Gerd Baumann
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Frank Stenger: University of Utah, School of Computing
Don Tucker: University of Utah, Department of Mathematics
Gerd Baumann: German University in Cairo, Department of Mathematics

Chapter Chapter 5 in Navier–Stokes Equations on R3 × [0, T], 2016, pp 37-51 from Springer

Abstract: Abstract In this chapter we describe several methods of approximating solutions to the Navier–Stokes (N–S) integral equations ( 1.23 ). We first introduce several possible bases, including polynomial, Sinc, and Fourier polynomials. These bases, covered in Sects. 5.1 and 5.2, enable effective methods for solving N–S equations in the spaces introduced in Chap. 2 These described bases enable several possible ways of carrying out the solution to ( 1.11 ) iteratively, and we list some of these in Sects. 5.1 and 5.2.

Keywords: Accurate Approximation; Interpolation Point; Sinc Function; Wavelet Approximation; Sinc Interpolation (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-27526-0_5

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