Polynomial Chaos Methods for Hyperbolic Partial Differential Equations (e-bok)
Fler böcker inom
PDF med Adobe-kryptering
Om Adobe-kryptering
PDF-böcker lämpar sig inte för läsning på små skärmar, t ex mobiler.
Kan laddas ned under 24 månader, dock max 3 gånger.
Springer International Publishing
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations (e-bok)

Polynomial Chaos Methods for Hyperbolic Partial Differential Equations (e-bok)

Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties

E-bok (PDF - DRM), Engelska, 2015-03-10
Laddas ned direkt
Läs i vår app för iPhone, iPad och Android
Finns även som
Visa alla 2 format & utgåvor
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 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. Polynomial Chaos Methods of Hyperbolic Partial Differential Equations focuses on the analysis of stochastic Galerkin systems obtained for linear and non-linear convection-diffusion equations and for a systems of conservation laws; a detailed well-posedness and accuracy analysis is presented to enable the design of robust and stable numerical methods. The exposition is restricted to one spatial dimension and one uncertain parameter as its extension is conceptually straightforward. The numerical methods designed guarantee that the solutions to the uncertainty quantification systems will converge as the mesh size goes to zero.Examples from computational fluid dynamics are presented together with numerical methods suitable for the problem at hand: stable high-order finite-difference methods based on summation-by-parts operators for smooth problems, and robust shock-capturing methods for highly nonlinear problems.Academics and graduate students interested in computational fluid dynamics and uncertainty quantification will find this book of interest. Readers are expected to be familiar with the fundamentals of numerical analysis. Some background in stochastic methods is useful but notnecessary.
Visa hela texten


Har du läst boken? Sätt ditt betyg »

Fler böcker av författarna

  • Complex Effects in Large Eddy Simulations

    Stavros Kassinos, Carlos Langer, Gianluca Iaccarino, Parviz Moin

    The field of Large Eddy Simulations is reaching a level of maturity that brings this approach to the mainstream of engineering computations, while it opens opportunities and challenges. The main objective of this volume is to bring together leadin...