Improving accuracy in the Leray model for incompressible nonisothermal flows via adaptive deconvolution-based nonlinear filtering
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper considers a Leray regularization model of incompressible, nonisothermal fluid flows which uses nonlinear filtering based on indicator functions and introduces an efficient numerical method for solving it. The proposed method uses a multistep, second-order temporal discretization with a finite element (FE) spatial discretization in such a way that the resulting algorithm is linear at each time level and decouples the evolution equations from the velocity filter step. Since the indicator function chosen in this model is mathematically based on approximation theory, the proposed numerical algorithm can be analyzed robustly, i.e., the stability and convergence of the method is provable. A series of numerical tests are carried out to verify the theoretical convergence rates and to compare the algorithm with direct numerical simulation and the usual Leray-alpha model of the flow problem.
Açıklama
Anahtar Kelimeler
finite element method, Leray regularization, nonisothermal fluid flows, nonlinear filltering
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
44
Sayı
8
