A p-adaptive LCP formulation for the compressible Navier-Stokes equations

被引：7

作者：

Cagnone, J. S. ^{[1
]}

Vermeire, B. C. ^{[1
]}

Nadarajah, S. ^{[1
]}

机构：

[1] McGill Univ, Dept Mech Engn, Montreal, PQ H3A 2S6, Canada

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 233卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

High-order methods; Polynomial refinement; Lifting-collocation-penalty formulation; Compressible Navier-Stokes equations; SPECTRAL DIFFERENCE METHOD; DISCONTINUOUS GALERKIN METHOD; HYPERBOLIC CONSERVATION-LAWS; UNSTRUCTURED GRIDS; CONNECTION; SYSTEMS; VOLUME;

D O I：

10.1016/j.jcp.2012.08.053

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents a polynomial-adaptive lifting collocation penalty (LCP) formulation for the compressible Navier-Stokes equations. The LCP formulation is a high-order nodal scheme in differential form. This format, although computationally efficient, complicates the treatment of non-uniform polynomial approximations. In Cagnone and Nadarajah (2012) [9], we proposed to circumvent this difficulty by employing specially designed elements inserted at the interface where the interpolation degree varies. In the present study we examine the applicability of this approach to the discretization of the Navier-Stokes equations, with focus put on the treatment of the viscous fluxes. The stability of the scheme is analyzed with the scalar diffusion equation and the merits of the approach are demonstrated with various p-adaptive simulations. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：324 / 338

页数：15

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