Stochastic Spectral/HP Element Methods for CFD and MHD Simulations

Abstract

Multi-Element Polynomial Chaos: Generalized polynomial chaos (gPC) or Wiener-Askey expansions is a method developed by the PI and his students. This method is similar to spectral techniques - but in high-dimensions - so both Galerkin and collocation projections can be employed to produce the algebraic equations from the partial differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 31, 2006
Accession Number
ADA455950

Entities

People

  • George Karniadakis

Organizations

  • Brown University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Euler Equations
  • Flow
  • Gaussian Processes
  • Mathematics
  • Physical Properties
  • Polynomials
  • Probability
  • Random Variables
  • Simulations
  • Two Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Fluid Dynamics (CFD)
  • Linear Algebra