Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries [electronic resource]

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Tác giả:

Ngôn ngữ: eng

Ký hiệu phân loại: 543 Analytical chemistry

Thông tin xuất bản: Los Alamos, N.M. : Oak Ridge, Tenn. : Los Alamos National Laboratory ; Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 2019

Mô tả vật lý: Size: p. 405-427 : , digital, PDF file.

Bộ sưu tập: Metadata

ID: 261874

 We present a Stochastic Finite Volume - ADER (SFV-ADER) methodology for Uncertainty Quantification (UQ) in the general framework of systems of hyperbolic balance laws with uncertainty in parameters. The resulting method is weakly intrusive, meaning that deterministic solvers need minor modifications to include random contributions, and has no theoretical accuracy barrier. An illustration of the second-order version for the viscous Burgers equation with uncertain viscosity coefficient is first given in detail, under different deterministic initial conditions
  the attainment of the theoretically expected convergence rate is demonstrated empirically
  results and features of our scheme are discussed. We then extend the SFV-ADER method to a non-linear hyperbolic system with source terms that models one-dimensional blood flow in arteries, assuming uncertainties in a set of parameters of the problem. Results are then compared with measurements in a well-defined 1:1 experimental replica of the network of largest arteries in the human systemic circulation. For a 99%-confidence level, severe influence of parameter fluctuations is seen in pressure profiles, while secondary effects on flow rate profiles become visible, particularly in terminal branches. In conclusion, results suggest that the proposed methodology could successfully be applied to other physical problems involving hyperbolic balance laws.
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