Upwind Finite-Volume Solution of Stochastic Burgers ’ Equation

@inproceedings{ElBeltagy2013UpwindFS,
  title={Upwind Finite-Volume Solution of Stochastic Burgers ’ Equation},
  author={Mohamed A. El-Beltagy and Mohamed I. Wafa and Osama H. Galal},
  year={2013}
}
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 quantified for different values of viscosity. Monte-Carlo… CONTINUE READING