Polynomial Chaos Methods for Hyperbolic Partial Differential Equations Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties /

• Main Authors: Pettersson, Mass Per (Author), Iaccarino, Gianluca (Author), Nordström, Jan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Mathematical Engineering,
• Subjects: Engineering.; Numerical analysis.; Fluids.; Fluid mechanics.; Engineering Fluid Dynamics.; Numerical Analysis.; Fluid- and Aerodynamics.

This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-ba...

Table of Contents:

• Random Field Representation
• Polynomial Chaos Methods
• Numerical Solution of Hyperbolic Problems
• Linear Transport
• Nonlinear Transport
• Boundary Conditions and Data
• Euler Equations
• A Hybrid Scheme for Two-Phase Flow
• Appendices.