Article2009

A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions

Paul G. Constantine · Alireza Doostan · Gianluca Iaccarino

27 citations0/0 files storedInternational Journal for Numerical Methods in Engineering

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Model Reduction and Neural Networks

Abstract

Abstract We present a numerical method to study convective heat transfer in a high Reynolds number incompressible flow around a cylinder subject to uncertain boundary conditions. We exploit the one‐way coupling of the energy and momentum transport to derive a semi‐intrusive uncertainty propagation scheme, which combines Galerkin and collocation approaches for computing approximate statistics of the stochastic temperature field. The hybrid scheme converges rapidly and dramatically reduces the overall computational cost compared with the conventional uncertainty propagation schemes. Copyright © 2009 John Wiley & Sons, Ltd.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 27 citations exist upstream.

References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2005High-Order Collocation Methods for Differential Equations with Random Inputs 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations 2002A Stochastic Projection Method for Fluid Flow 2001A Stochastic Projection Method for Fluid Flow 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data

Cited by

2019A painless intrusive polynomial chaos method with RANS-based applications 2014Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations 2010Treatment of uncertain material interfaces in compressible flows 2016Fast Analysis of Unsteady Wing Aerodynamics via Stochastic Models 2016A Flexible Uncertainty Propagation Framework for General Multiphysics Systems

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.