Analysis of geometric uncertainties in CFD problems solved by RBF-FD meshless method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:421

Article

Zamolo, Riccardo¹  Parussini, Lucia¹ 

[1] Univ Trieste, Dept Engn & Architecture, Via Valerio 10, I-34127 Trieste, Italy

关键词: Meshless;    RBF-FD;    Uncertainty;    Polynomial chaos;    Elliptic PDEs;    Navier-Stokes;   

DOI  :  10.1016/j.jcp.2020.109730

来源: Elsevier

【 摘 要 】

In order to analyze incompressible and laminar fluid flows in presence of geometric uncertainties on the boundaries, the Non-Intrusive Polynomial Chaos method is employed, which allows the use of a deterministic fluid dynamic solver. The quantification of the fluid flow uncertainties is based on a set of deterministic response evaluations, which are obtained through a Radial Basis Function-generated Finite Differences meshless method. The use of such deterministic solver represents the key point of the analysis, thanks to the computational efficiency and similar accuracy over the traditional mesh-based numerical methods. The validation of the proposed approach is carried out through the solution of the flow past a 2D spinning cylinder near a moving wall and the flow over a backward-facing step, in presence of stochastic geometries. The applicability to practical problems is demonstrated through the investigation of geometric uncertainty effects on the forced convection of Al2O3-water nanofluid laminar flow in a grooved microchannel. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free