Numerical modeling in Chebyshev collocation methods applied to stability analysis of convection problems

被引：7

作者：

Herrero, H ^{[1
]}

Mancho, AM

机构：

[1] Univ Castilla La Mancha, Fac CC Quim, Dept Matemat, E-13071 Ciudad Real, Spain

[2] Univ Navarra, Fac Ciencias, Dept Fis & Matemat Aplicada, E-31080 Pamplona, Spain

来源：

APPLIED NUMERICAL MATHEMATICS | 2000年 / 33卷 / 1-4期

关键词：

spectral methods; Bernard-Marangoni convections; lateral heating;

D O I：

10.1016/S0168-9274(99)00079-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An example of a high order method (Chebyshev collocation) applied to the study of a bifurcation problem in three dimensions is presented. The non-linear basic equations are solved by an iterative technique. The first contribution to the solution is obtained using a low-order finite difference scheme while corrective terms are obtained through collocation. The bifurcation thresholds are calculated through the perturbation equations. We study the convergence of the collocation method comparing different expansions. The polynomials and their derivatives have been evaluated a priori at the collocation points instead of using the differentiation operators on those points. This procedure simplifies the implementation, (C) 2000 IMACS. Published by Elsevier Science B.V. All rights resented.

引用

页码：161 / 166

页数：6