Accession Number:

ADA455950

Title:

Stochastic Spectral/HP Element Methods for CFD and MHD Simulations

Descriptive Note:

Final rept., 1 Mar 2003-30 Jun 2006

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

• Karniadakis, George

Report Date:

2006-07-31

Pagination or Media Count:

7.0

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.

Descriptors:

• *CHAOS
• *COMPUTATIONAL FLUID DYNAMICS
• *SPECTRAL EMITTANCE
• *MAGNETOHYDRODYNAMICS
• SIMULATION
• POLYNOMIALS
• GALERKIN METHOD
• NONLINEAR ALGEBRAIC EQUATIONS

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics
• Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE