Moving Kriging reconstruction for high-order finite volume computation of compressible flows

Content Provider	Semantic Scholar
Author	Chassaing, Jean-Camille Nogueira, Xesús
Copyright Year	2012
Abstract	This paper describes the development of a high-order finite volume method for the solution of compressible viscous flows on unstructured meshes. The novelty of this approach is based on the use of moving Kriging shape functions for the computation of the derivatives in the numerical flux reconstruction step at the cell faces. For each cell, the successive derivatives of the flow variables are deduced from the interpolation function constructed from a compact stencil support for both Gaussian and quartic spline correlation models. A particular attention is paid for the study of the influence of the correlation parameter onto the accuracy of the numerical scheme. The effect of the size of the moving Kriging stencil is also investigated. Robustness and convergence properties are studied for various inviscid and viscous flows. Results reveal that the moving Kriging shape function can be considered as an interesting alternative for the development of high-order methodology for complex geometries.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://caminos.udc.es/gmni/pdf/2013/2013_cmame_nogueira.pdf
Language	English
Access Restriction	Open
Subject Keyword	Approximation Bolo (tank) Compact stencil Computation (action) Conditioning (Psychology) Convergence (action) Face FarmVille Finite volume method Flow Flow network Interpolation Kernel Kriging Least squares Least-Squares Analysis MK 869 Navier–Stokes equations Normal Statistical Distribution Numerical analysis Polynomial basis Population Parameter Robustness (computer science) Series expansion Software propagation Spline (mathematics) Stencil buffer SubSonic funding grant
Content Type	Text
Resource Type	Article