TY - JOUR A1 - Benim, Ali Cemal A1 - Zinser, Walter T1 - A segregated formulation of Navier-Stokes equations with finite elements JF - Computer Methods in Applied Mechanics and Engineering KW - Navier-Stokes-Gleichung KW - Turbulente Strömung KW - Finite-Elemente-Methode KW - Numerische Strömungssimulation Y1 - 1986 U6 - https://doi.org/10.1016/0045-7825(86)90015-0 SN - 0045-7825 VL - 57 IS - 2 SP - 223 EP - 237 PB - Elsevier ER - TY - JOUR A1 - Benim, Ali Cemal T1 - Finite element solution of an enclosed turbulent diffusion flame JF - International Journal for Numerical Methods in Fluids N2 - A finite element formulation of enclosed turbulent diffusion flames is presented. A primitive variables approach is preferred in the analysis. A mixed interpolation is employed for the velocity and pressure. In the solution of the Navier‐Stokes equations, a segregated formulation is adopted, where the pressure discretization equation is obtained directly from the discretized continuity equation, considering the velocity‐pressure relationships in the discretized momentum equations. The state of turbulence is defined by a κ–ϵ model. Near solid boundaries, a wall function approach is employed. The combustion rates are estimated using the eddy dissipation concept. The expensive direct treatment of the integrodifferential equations of radiation is avoided by employing the moment method, which allows the derivation of an approximate local field equation for the radiation intensity. The proposed finite element model is verified by investigating a technical turbulent diffusion flame of semi‐industrial size, and comparing the results with experiments and finite difference predictions. KW - Finite-Elemente-Methode KW - Turbulente Diffusionsflamme KW - Navier-Stokes-Gleichung KW - Numerische Strömungssimulation Y1 - 1989 U6 - https://doi.org/10.1002/fld.1650090305 SN - 0271-2091 VL - 9 IS - 3 SP - 289 EP - 303 PB - Wiley ER - TY - JOUR A1 - Benim, Ali Cemal A1 - Zinser, Walter A1 - Schnell, Uwe T1 - Investigation into the finite element analysis of enclosed turbulent diffusion flames JF - Applied Mathematical Modelling KW - Finite-Elemente-Methode KW - Turbulente Diffusionsflamme KW - Navier-Stokes-Gleichung KW - Numerische Strömungssimulation Y1 - 1989 U6 - https://doi.org/10.1016/0307-904X(89)90069-3 SN - 0307-904X VL - 13 IS - 5 SP - 258 EP - 267 PB - Elsevier ER - TY - JOUR A1 - Suh, S.-H. A1 - Benim, Ali Cemal T1 - The primitive variables formulation of the Navier-Stokes equations using the finite analytic method JF - Applied Mathematical Modelling KW - Navier-Stokes-Gleichung KW - Finite analytische Methode KW - Numerische Strömungssimulation Y1 - 1989 U6 - https://doi.org/10.1016/0307-904X(89)90066-8 SN - 0307-904X VL - 13 IS - 9 SP - 550 EP - 554 PB - Elsevier ER - TY - JOUR A1 - Benim, Ali Cemal T1 - Finite element analysis of confined turbulent swirling flows JF - International Journal for Numerical Methods in Fluids N2 - The finite element method is applied to incompressible and statistically steady confined turbulent swirling flows. A velocity–pressure formulation is employed. The momentum and continuity equations are solved using a segregated algorithm. Two turbulence models, namely the standard κ–ε model and the algebraic stress model, are considered. It is shown that the algebraic stress model leads to significantly more accurate results in swirling flows compared to the κ–ε model. A novel way of implementing the algebraic stress model is presented in which the stresses are coupled to the Navier–Stokes equations in such a way that they ‘correct’ the effective viscosity hypothesis. This formulation seems to provide a convenient approach for finite elements. In deriving the discretization equations, a streamline‐upwind/Petrov–Galerkin method is employed. Comparisons performed between various upwind schemes show that the numerical solution may be substantially affected by the particular upwind procedure used. The analysis is extended to the prediction of particle motion in turbulent swirling flow fields. Here the fluid turbulence is modelled adopting a stochastic approach. The influence of turbulence modelling on particle movement is investigated. KW - Finite-Elemente-Methode KW - Turbulente Strömung KW - Navier-Stokes-Gleichung KW - Numerische Strömungssimulation Y1 - 1990 U6 - https://doi.org/10.1002/fld.1650110602 SN - 0271-2091 VL - 11 IS - 6 SP - 697 EP - 717 PB - Wiley ER -