Unconditional Long Time H(1)(-)Stability of a Velocity-Vorticity-Temperature Scheme for the 2D-Boussinesq System
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Global Science Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper proposes, analyzes and tests a velocity-vorticity-temperature (VVT) scheme for incompressible, non-isothermal fluid flow. VVT consists of complementing of the usual velocity-pressure-temperature system with the vorticity equation, coupling the systems through the convective terms. The proposed scheme uses BDF2LE time stepping, and a finite element spatial discretization. At each time step, the velocity-pressure equation, the vorticity equation and the temperature equation are all decoupled. A full analysis of the method is given that proves unconditional long-time H-1-stability, and shows the optimal convergence both in time and space. Theoretical convergence results are confirmed by a numerical test, and the effectiveness of the algorithm is revealed on a benchmark problem for Marsigli flow.
Açıklama
Anahtar Kelimeler
Long time stability, incompressible flow, vorticity equation, finite element method, Navier-Stokes Equations, Finite-Element Approximation, Error Analysis, Stability, Formulation, Solver, Form, Density, Flows
Kaynak
Advances In Applied Mathematics And Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
12
Sayı
5
