A Galerkin/POD Reduced-Order Model from Eigenfunctions of Non-Converged Time Evolution Solutions in a Convection Problem

被引：5

作者：

Cortes, Jesus ^{[1
]}

Herrero, Henar ^{[1
]}

Pla, Francisco ^{[1
]}

机构：

[1] Univ Castilla La Mancha, Fac Ciencias & Tecnol Quim, Dept Matemat, Ciudad Real 13071, Spain

来源：

MATHEMATICS | 2022年 / 10卷 / 06期

关键词：

reduced-order models; proper orthogonal decomposition; spectral methods; Rayleigh-Benard instability; geophysical flows; TEMPERATURE-DEPENDENT VISCOSITY; POSTERIORI ERROR ESTIMATION; BASIS APPROXIMATION; INERTIAL MANIFOLDS; POD; REDUCTION; EQUATION; FRAMEWORK;

D O I：

10.3390/math10060905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh-Benard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an energy equation depending on the Rayleigh number R as a bifurcation parameter. From the numerical solution and stability analysis of the system for a single value of the bifurcation parameter, the whole bifurcation diagram in an interval of values of R is obtained. Three different bifurcation points and four types of solutions are obtained with small errors. The computing time is drastically reduced with this methodology.

引用

页数：31

共 29 条

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[29] Application of model-order reduction of non-linear time-dependent neutronics via POD-Galerkin projection and matrix discrete empirical interpolation
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