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Polynomial Chaos Methods for Hyperbolic Partial Differential Equations
Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783319107141
Veröffentl:
2015
Seiten:
214
Autor:
Mass Per Pettersson
Serie:
Mathematical Engineering
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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-based techniques. The approach described in the text takes advantage of stochastic Galerkin projections applied to the original conservation laws to produce a large system of modified partial differential equations, the solutions to which directly provide a full statistical characterization of the effect of uncertainties.
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.
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