Akbas, Mine2021-12-012021-12-0120202070-07332075-1354https://doi.org/10.4208/aamm.OA-2019-0122https://hdl.handle.net/20.500.12684/10323This 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.en10.4208/aamm.OA-2019-0122info:eu-repo/semantics/closedAccessLong time stabilityincompressible flowvorticity equationfinite element methodNavier-Stokes EquationsFinite-Element ApproximationError AnalysisStabilityFormulationSolverFormDensityFlowsArticle125116611952-s2.0-85090164339WOS:000554983200004Q3Q2