TY - CHAP A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko T1 - One-Dimensional Turbulence investigation of incompressible and low Mach number variable density pipe-flow T2 - 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics March 19-23, 2018 Munich, Germany, Book of abstracts Y1 - 2018 UR - http://jahrestagung.gamm-ev.de/images/2018/book_of_abstracts.pdf SP - 285 EP - 286 PB - GAMM ER - TY - CHAP A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko T1 - Application of ODT to constant volume autoignition problems T2 - 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics March 6-10, 2017 Weimar, Germany, Book of abstracts Y1 - 2017 UR - https://www.tu-ilmenau.de/fileadmin/media/analysis/trunk/170304_BoA_GAMM_2017.pdf SP - S. 360 PB - GAMM ER - TY - GEN A1 - Glawe, Christoph A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko T1 - IMEX based Multi-Scale Time Advancement in ODTLES, T2 - Zeitschrift für angewandte Mathematik und Mechanik KW - ODTLES Y1 - 2018 U6 - https://doi.org/10.1002/zamm.201800098 SN - 1521-4001 VL - 98 IS - 11 SP - 1907 EP - 1923 ER - TY - GEN A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko T1 - One‐dimensional turbulence investigation of incompressible and low Mach number variable density pipe‐flow T2 - Proceedings in Applied Mathematics and Mechanics : PAMM KW - ODT KW - pipe flow Y1 - 2018 U6 - https://doi.org/10.1002/pamm.201800090 SN - 1617-7061 VL - 18 IS - 1 ER - TY - GEN A1 - Rakhi, Rakhi A1 - Klein, Marten A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko T1 - One-dimensional turbulence modelling of incompressible temporally developing turbulent boundary layers with comparison to DNS T2 - Journal of Turbulence N2 - The incompressible temporally developing turbulent boundary layer (TBL) is analysed using the map-based stochastic one-dimensional turbulence (ODT) model. The TBL is a canonical flow problem, which is, in the present study, formed by a planar moving wall and a free stream at rest. An understanding of this idealised flow is of fundamental relevance for the numerical analysis of turbulent boundary-layer-type flows. In the present ODT simulations, the flow variables are resolved on all scales along a wall-normal, one-dimensional domain. These variables are evolved by a deterministic and a stochastic process. The latter models the effect of turbulent advection and pressure fluctuations, whereas the former represents molecular diffusion. The model is appropriate for high Reynolds numbers for which the turbulence field exhibits a broad range of scales and is notionally featureless. We show that ODT is able to capture salient features of the TBL by comparing the various statistics with available reference direct numerical simulation (DNS) results for different bulk Reynolds numbers in the range 250 ≤ Reb ≤ 2000 using fixed model parameters. The influence of the model parameters is analysed for Reb = 1000 and optimal parameter values are provided. The results discussed in this paper suggest that ODT is an economical and reasonably accurate approach for the simulation of transient turbulent boundary-layer-type flows. KW - one-dimensional turbulence KW - stochastic modeling KW - turbulent boundary layers Y1 - 2019 U6 - https://doi.org/10.1080/14685248.2019.1674859 SN - 1468-5248 VL - 20 IS - 8 SP - 506 EP - 543 ER - TY - GEN A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko T1 - Application of ODT to constant volume autoignition problems T2 - Proceedings in Applied Mathematics and Mechanics N2 - The One-Dimensional Turbulence (ODT) model is applied to a constant volume configuration by means of a periodic, one-dimensional domain subject to randomized ensemble members with initial inhomogeneous temperature fields and homogeneous mass fraction profiles. The multidimensional turbulent interactions in the flow are modeled by the separate implementation of turbulent advection and the diffusion-reaction processes, neglecting the mean advection of the system. On one hand, turbulent advection is modeled by means of the eddy events defined within the framework of ODT; on the other hand, the diffusion-reaction system is solved by means of the Zero-Mach limit conservation equations discretized with a 1D Finite Volume Method (FVM). The treatment is specialized in this work to constant volume systems. Due to the inherent stiffness of the diffusion-reaction system, an operator splitting approach is also included in the formulation. Results for n-Heptane chemistry comprising the temporal evolution of the heat release rate, pressure and normalized density-weighted displacement speed are shown and compared to DNS results from Yoo et al. [Combust. Flame 158 (2011) 1727-1741], in terms of individual ensemble members and mean ensemble behavior. The results show that it is possible to obtain reasonably good results in comparison to the DNS if an appropriate set of initial conditions is used. Furthermore, it is shown that the model uncertainty is negligible in comparison to the ensemble standard deviation introduced by randomized initial conditions. Overall, this work introduces the framework for constant volume autoignition in ODT and shows its efficiency for complex chemistry simulations. Y1 - 2017 U6 - https://doi.org/10.1002/pamm.201710291 SN - 1617-7061 VL - 17 IS - 1 SP - 643 EP - 644 ER - TY - GEN A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko A1 - Riebel, Ulrich T1 - Towards a One-Dimensional Turbulence Approach for Electrohydrodynamic Flows Y1 - 2019 UR - https://www-docs.b-tu.de/fg-stroemungsmodellierung/public/Medina_2019_TSFPPoster2019.pdf ER - TY - GEN A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko A1 - Riebel, Ulrich T1 - Extension of the One-Dimensional Turbulence model towards electrohydrodynamic variable density flows T2 - 17th European Turbulence Conference (ETC2019), 3-6 September 2019, Torino, Y1 - 2019 UR - https://www-docs.b-tu.de/fg-stroemungsmodellierung/public/Medina_2019_ETC2019ODTEHDPlate.pdf CY - Turin ER - TY - GEN A1 - Medina Méndez, Juan Ali A1 - Klein, Marten A1 - Schmidt, Heiko T1 - One-Dimensional Turbulence investigation of variable density effects due to heat transfer in a low Mach number internal air flow T2 - International Journal of Heat and Fluid Flow N2 - A novel spatial formulation of the One-Dimensional Turbulence (ODT) model is applied to a vertical pipe-flow with heat transfer, analogous to the Direct Numerical Simulation (DNS) performed by Bae et al. [Phys. Fluids 18, (075102) (2006)]. The framework presented here is an extension for radially confined domains of the cylindrical ODT spatial formulation for low Mach number flows with variable density. The variable density simulations for air (Prandtl number Pr = 0.71) are performed at an initial bulk Reynolds number Reb (DNS) = 6000 and Grashof number Gr (DNS) = 6.78*10^6. ODT results are presented for both the spatial formulation introduced in this work and the standard temporal formulation for cylindrical flows introduced by Lignell et al. [Theor. Comput. Fluid Dyn. 32, 4 (2018), pp. 495–520]. Streamwise bulk profiles and radial profiles at specific streamwise positions for the temporal and spatial formulations are in good agreement with the DNS results from Bae et al. For the present application, the spatial formulation yields physically better results in comparison to the temporal formulation. Overall, the findings in the original work of Bae et al. were corroborated with ODT. Although the framework proposed in this work is not a compressible framework and has some clear limitations regarding conservation properties, we suggest its use for future studies in the low Mach number variable density regime. Y1 - 2019 UR - http://www.sciencedirect.com/science/article/pii/S0142727X19301596 U6 - https://doi.org/10.1016/j.ijheatfluidflow.2019.108481 SN - 0142-727X SN - 1879-2278 VL - 80 ER - TY - GEN A1 - Medina Méndez, Juan Ali A1 - Schmidt, Heiko A1 - Lignell, David O. T1 - Application of the One-Dimensional Turbulence model to incompressible channel and pipe flow T2 - Publications Turbulent Reacting Flow Research Dr. David Lignell, Brigham Young University Y1 - 2019 UR - https://www.researchgate.net/publication/324604188_Application_of_the_One-Dimensional_Turbulence_model_to_incompressible_channel_and_pipe_flow/link/5ad8bda7a6fdcc29358659c4/download ER -