Upwind Finite-Volume Solution of Stochastic Burgers’ Equation

In this paper, a stochastic finite-volume solver based on polynomial chaos expansion is developed. The upwind scheme is used to avoid the numerical instabilities. The Burgers' equation subjected to deterministic boundary conditions and random viscosity is solved. The solution uncertainty is qua...

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Veröffentlicht in:	Applied mathematics (Irvine, Calif.) Calif.), 2012-11, Vol.3 (11), p.1818-1825
Hauptverfasser:	El-Beltagy, Mohamed A., Wafa, Mohamed I., Galal, Osama H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer simulation Linear systems Mathematical analysis Mathematical models Monte Carlo methods Solvers Stochasticity Viscosity
Online-Zugang:	Volltext
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