Author(s): M. Petrella; S. Tokareva; E. F. Toro

Linked Author(s):

Keywords: Uncertainty quantification; Blood flow; Elastic vessels; Stochastic finite volume method; SFV-ADER

Abstract: We develop a Stochastic Finite Volume (1) - Arbitrary DERivative (2) (SFV-ADER) methodology for computational Uncertainty Quantification (UQ). An illustration of its second order version for the viscous Burgers’ Equation with uncertain viscosity coefficient is given, discussing features and limitations. We then extend the SFV-ADER method to a non-linear hyperbolic system that constitutes a one-dimensional (1D) mathematical model of blood flow in elastic vessels (3), assuming uncertainties in several parameters.

DOI: https://doi.org/10.3850/978-981-11-2731-1_380-cd

Year: 2018