Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
206
Utgivningsdatum
2014-10-16
Förlag
Karlsruher Institut Fur Technologie
Medarbetare
Weiß, Jan-Philipp (ed.)
Illustrationer
Black & white illustrations
Dimensioner
210 x 148 x 11 mm
Vikt
250 g
Antal komponenter
1
Komponenter
425:B&W 5.83 x 8.27 in or 210 x 148 mm (A5) Perfect Bound on White w/Matte Lam
ISBN
9783866440692

Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval

Häftad,  Engelska, 2014-10-16
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Lattice Boltzmann methods are a promising approach for the numerical solution of fluid-dynamic problems. We consider the one-dimensional Goldstein-Taylor model with the aim to answer some of the questions concerning the numerical analysis of lattice Boltzmann schemes. Discretizations for the solution of the heat equation are presented for a selection of boundary conditions. Stability and convergence of the solutions are proved by employing energy estimates and explicit Fourier representations.
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