Praturi, D. S.; Plümacher, D.; Oberlack, M. On the Lie symmetries of characteristic function hierarchy in compressible turbulence. (English) Zbl 07738694 Eur. J. Appl. Math. 34, No. 5, 913-935 (2023). MSC: 76M60 76F50 PDFBibTeX XMLCite \textit{D. S. Praturi} et al., Eur. J. Appl. Math. 34, No. 5, 913--935 (2023; Zbl 07738694) Full Text: DOI
Dokoza, Toni; Oberlack, Martin Reynolds number induced growth of the large-scale rolls in plane Couette flow using resolvent analysis. (English) Zbl 07725089 J. Fluid Mech. 968, Paper No. A23, 23 p. (2023). MSC: 76F10 76E05 76F65 76M45 PDFBibTeX XMLCite \textit{T. Dokoza} and \textit{M. Oberlack}, J. Fluid Mech. 968, Paper No. A23, 23 p. (2023; Zbl 07725089) Full Text: DOI
Örlü, Ramis (ed.); Talamelli, Alessandro (ed.); Peinke, Joachim (ed.); Oberlack, Martin (ed.) Progress in turbulence IX. Proceedings of the 9th iTi conference in turbulence, virtual event, February 25–26, 2021. (English) Zbl 07657937 Springer Proceedings in Physics 267. Cham: Springer (ISBN 978-3-030-80715-3/hbk; 978-3-030-80718-4/pbk; 978-3-030-80716-0/ebook). xviii, 315 p. (2021). MSC: 76-06 76Fxx 00B25 PDFBibTeX XMLCite \textit{R. Örlü} (ed.) et al., Progress in turbulence IX. Proceedings of the 9th iTi conference in turbulence, virtual event, February 25--26, 2021. Cham: Springer (2021; Zbl 07657937) Full Text: DOI
Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. Reply to: “Comment on: “Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence””. (English) Zbl 1519.76054 J. Phys. A, Math. Theor. 54, No. 43, Article ID 438003, 5 p. (2021). MSC: 76F02 60J67 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., J. Phys. A, Math. Theor. 54, No. 43, Article ID 438003, 5 p. (2021; Zbl 1519.76054) Full Text: DOI
Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. Reply to: “Comment on: “Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence””. (English) Zbl 1519.76069 J. Phys. A, Math. Theor. 54, No. 43, Article ID 438001, 5 p. (2021). MSC: 76F55 76F30 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., J. Phys. A, Math. Theor. 54, No. 43, Article ID 438001, 5 p. (2021; Zbl 1519.76069) Full Text: DOI
Grebenev, V. N.; Grichkov, A. N.; Oberlack, M.; Wacławczyk, M. Second-order invariants of the inviscid Lundgren-Monin-Novikov equations for \(2d\) vorticity fields. (English) Zbl 1468.76048 Z. Angew. Math. Phys. 72, No. 3, Paper No. 129, 14 p. (2021). MSC: 76M60 76F99 35A30 53Z05 22E70 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., Z. Angew. Math. Phys. 72, No. 3, Paper No. 129, 14 p. (2021; Zbl 1468.76048) Full Text: DOI
Sadeghi, H.; Oberlack, M.; Gauding, M. New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets. (English) Zbl 1492.76067 J. Fluid Mech. 919, Paper No. A5, 27 p. (2021). MSC: 76F25 76F10 76F55 76M60 PDFBibTeX XMLCite \textit{H. Sadeghi} et al., J. Fluid Mech. 919, Paper No. A5, 27 p. (2021; Zbl 1492.76067) Full Text: DOI
Avsarkisov, V.; Oberlack, M.; Hoyas, S. Corrigendum to: “New scaling laws for turbulent Poiseuille flow with wall transpiration”. (English) Zbl 1470.76038 J. Fluid Mech. 912, Paper No. E2, 2 p. (2021). MSC: 76F65 76F02 PDFBibTeX XMLCite \textit{V. Avsarkisov} et al., J. Fluid Mech. 912, Paper No. E2, 2 p. (2021; Zbl 1470.76038) Full Text: DOI
Sadeghi, Hamed; Oberlack, Martin New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence. (English) Zbl 1460.76362 J. Fluid Mech. 899, Paper No. A10, 26 p. (2020). MSC: 76F05 PDFBibTeX XMLCite \textit{H. Sadeghi} and \textit{M. Oberlack}, J. Fluid Mech. 899, Paper No. A10, 26 p. (2020; Zbl 1460.76362) Full Text: DOI
Sadeghi, H.; Oberlack, M.; Gauding, M. Corrigendum to: “On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation”. (English) Zbl 1460.76415 J. Fluid Mech. 885, Paper No. E1, 2 p. (2020). MSC: 76F10 76F02 76M60 76F65 PDFBibTeX XMLCite \textit{H. Sadeghi} et al., J. Fluid Mech. 885, Paper No. E1, 2 p. (2020; Zbl 1460.76415) Full Text: DOI
Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence. (English) Zbl 1509.76037 J. Phys. A, Math. Theor. 52, No. 33, Article ID 335501, 16 p. (2019). MSC: 76F02 76F20 76M60 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., J. Phys. A, Math. Theor. 52, No. 33, Article ID 335501, 16 p. (2019; Zbl 1509.76037) Full Text: DOI
Kraheberger, S.; Hoyas, Sergio; Oberlack, M. DNS of a turbulent Couette flow at constant wall transpiration up to \(Re_\tau=1000\). (English) Zbl 1421.76131 J. Fluid Mech. 835, 421-443 (2018). MSC: 76F65 PDFBibTeX XMLCite \textit{S. Kraheberger} et al., J. Fluid Mech. 835, 421--443 (2018; Zbl 1421.76131) Full Text: DOI Link
Bakhshandeh Chamazkoti, Rohollah; Oberlack, Martin Geometry of two-point velocity correlation tensor of homogeneous isotropic turbulence with helicity in sol-manifold coordinates. (English) Zbl 1402.76053 J. Math. Phys. 59, No. 10, 103507, 9 p. (2018). MSC: 76F05 53C21 53D25 PDFBibTeX XMLCite \textit{R. Bakhshandeh Chamazkoti} and \textit{M. Oberlack}, J. Math. Phys. 59, No. 10, 103507, 9 p. (2018; Zbl 1402.76053) Full Text: DOI
Sadeghi, H.; Oberlack, M.; Gauding, M. On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation. (English) Zbl 1415.76292 J. Fluid Mech. 854, 233-260 (2018); corrigendum ibid. 885, Paper No. E1, 2 p. (2020). MSC: 76F10 76F02 76M60 76F65 PDFBibTeX XMLCite \textit{H. Sadeghi} et al., J. Fluid Mech. 854, 233--260 (2018; Zbl 1415.76292) Full Text: DOI
Grebenev, Vladimir N.; Oberlack, Martin Homogeneous isotropic turbulence: geometric and isometry properties of the 2-point velocity correlation tensor. (English) Zbl 1417.53016 J. Nonlinear Math. Phys. 25, No. 4, 650-672 (2018). MSC: 53B21 53B30 76F05 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, J. Nonlinear Math. Phys. 25, No. 4, 650--672 (2018; Zbl 1417.53016) Full Text: DOI
Örlü, Ramis (ed.); Talamelli, Alessandro (ed.); Oberlack, Martin (ed.); Peinke, Joachim (ed.) Progress in turbulence VII. Proceedings of the 7th iTi conference in turbulence, Bertinoro, Italy 2016. (German) Zbl 1390.76019 Springer Proceedings in Physics 196. Cham: Springer (ISBN 978-3-319-57933-7/hbk; 978-3-319-57934-4/ebook). xv, 250 p. (2017). MSC: 76-06 76Fxx 00A79 00B25 PDFBibTeX XMLCite \textit{R. Örlü} (ed.) et al., Progress in turbulence VII. Proceedings of the 7th iTi conference in turbulence, Bertinoro, Italy 2016. Cham: Springer (2017; Zbl 1390.76019) Full Text: DOI
Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. (English) Zbl 1465.76045 J. Phys. A, Math. Theor. 50, No. 43, Article ID 435502, 22 p. (2017). MSC: 76F30 76B47 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., J. Phys. A, Math. Theor. 50, No. 43, Article ID 435502, 22 p. (2017; Zbl 1465.76045) Full Text: DOI
Wacławczyk, M.; Grebenev, V. N.; Oberlack, M. Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. (English) Zbl 1364.76065 J. Phys. A, Math. Theor. 50, No. 17, Article ID 175501, 23 p. (2017). MSC: 76F20 76F55 35Q35 37K10 37N10 76M60 PDFBibTeX XMLCite \textit{M. Wacławczyk} et al., J. Phys. A, Math. Theor. 50, No. 17, Article ID 175501, 23 p. (2017; Zbl 1364.76065) Full Text: DOI
Peinke, Joachim (ed.); Kampers, Gerrit (ed.); Oberlack, Martin (ed.); Wacławczyk, Marta (ed.); Talamelli, Alessandro (ed.) Progress in turbulence VI. Proceedings of the 6th iTi conference on turbulence, Bertinoro, Italy, 2014. (English) Zbl 1396.76016 Springer Proceedings in Physics 165. Cham: Springer (ISBN 978-3-319-29129-1/hbk; 978-3-319-80497-2/pbk; 978-3-319-29130-7/ebook). xiii, 315 p. (2016). MSC: 76-06 76Fxx 00A79 00B25 PDFBibTeX XMLCite \textit{J. Peinke} (ed.) et al., Progress in turbulence VI. Proceedings of the 6th iTi conference on turbulence, Bertinoro, Italy, 2014. Cham: Springer (2016; Zbl 1396.76016) Full Text: DOI
Wacławczyk, Marta; Oberlack, Martin Response to “Comment on “Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation””. (English) Zbl 1333.76062 J. Math. Phys. 57, No. 3, 034103, 5 p. (2016). MSC: 76M60 76F55 PDFBibTeX XMLCite \textit{M. Wacławczyk} and \textit{M. Oberlack}, J. Math. Phys. 57, No. 3, 034103, 5 p. (2016; Zbl 1333.76062) Full Text: DOI
Nold, Andreas; Oberlack, Martin; Cheviakov, Alexei F. On new stability modes of plane canonical shear flows using symmetry classification. (English) Zbl 1327.76080 J. Math. Phys. 56, No. 11, 113101, 21 p. (2015). MSC: 76F10 76F06 76D05 PDFBibTeX XMLCite \textit{A. Nold} et al., J. Math. Phys. 56, No. 11, 113101, 21 p. (2015; Zbl 1327.76080) Full Text: DOI Link
Avsarkisov, V.; Oberlack, M.; Hoyas, S. New scaling laws for turbulent Poiseuille flow with wall transpiration. (English) Zbl 1416.76073 J. Fluid Mech. 746, 99-122 (2014); corrigendum ibid. 912, Paper No. E2, 2 p. (2021). MSC: 76F65 76F02 PDFBibTeX XMLCite \textit{V. Avsarkisov} et al., J. Fluid Mech. 746, 99--122 (2014; Zbl 1416.76073) Full Text: DOI Link
Talamelli, Alessandro (ed.); Oberlack, Martin (ed.); Peinke, Joachim (ed.) Progress in turbulence V. Proceedings of the iTi conference in turbulence 2012. (English) Zbl 1375.76010 Springer Proceedings in Physics 149. Cham: Springer (ISBN 978-3-319-01859-1/hbk; 978-3-319-03336-5/pbk; 978-3-319-01860-7/ebook). xiv, 238 p. (2014). MSC: 76-06 76Fxx 00B25 00A79 PDFBibTeX XMLCite \textit{A. Talamelli} (ed.) et al., Progress in turbulence V. Proceedings of the iTi conference in turbulence 2012. Cham: Springer (2014; Zbl 1375.76010) Full Text: DOI
Frewer, M.; Oberlack, M.; Grebenev, V. N. The dual stream function representation of an ideal steady fluid flow and its local geometric structure. (English) Zbl 1302.76073 Math. Phys. Anal. Geom. 17, No. 1-2, 3-25 (2014). MSC: 76F05 76F55 53B21 53B50 58J70 PDFBibTeX XMLCite \textit{M. Frewer} et al., Math. Phys. Anal. Geom. 17, No. 1--2, 3--25 (2014; Zbl 1302.76073) Full Text: DOI
Nold, Andreas; Oberlack, Martin Symmetry analysis in linear hydrodynamic stability theory: classical and new modes in linear shear. (English) Zbl 1327.76079 Phys. Fluids 25, No. 10, Paper No. 104101, 18 p. (2013). MSC: 76F10 76F06 76D05 PDFBibTeX XMLCite \textit{A. Nold} and \textit{M. Oberlack}, Phys. Fluids 25, No. 10, Paper No. 104101, 18 p. (2013; Zbl 1327.76079) Full Text: DOI arXiv
Wacławczyk, Marta; Oberlack, Martin Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation. (English) Zbl 1302.76151 J. Math. Phys. 54, No. 7, 072901, 19 p. (2013). MSC: 76M60 76F55 PDFBibTeX XMLCite \textit{M. Wacławczyk} and \textit{M. Oberlack}, J. Math. Phys. 54, No. 7, 072901, 19 p. (2013; Zbl 1302.76151) Full Text: DOI
Oberlack, Martin; Zieleniewicz, Andreas Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence. (English) Zbl 1273.76126 J. Turbul. 14, No. 2, 4-22 (2013). MSC: 76F05 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{A. Zieleniewicz}, J. Turbul. 14, No. 2, 4--22 (2013; Zbl 1273.76126) Full Text: DOI
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence. (English) Zbl 1350.76024 Z. Angew. Math. Phys. 64, No. 3, 599-620 (2013). MSC: 76F05 76F55 76M60 53B21 53B50 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., Z. Angew. Math. Phys. 64, No. 3, 599--620 (2013; Zbl 1350.76024) Full Text: DOI
Grebenev, V. N.; Grishkov, A. N.; Oberlack, M. The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence. (English) Zbl 1350.76023 Adv. Math. Phys. 2013, Article ID 469654, 11 p. (2013). MSC: 76F05 76M60 35A30 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., Adv. Math. Phys. 2013, Article ID 469654, 11 p. (2013; Zbl 1350.76023) Full Text: DOI
Aldudak, Fettah; Oberlack, Martin Dissipation element analysis in turbulent channel flow. (English) Zbl 1250.76111 J. Fluid Mech. 694, 332-351 (2012). MSC: 76F40 76F65 76M22 PDFBibTeX XMLCite \textit{F. Aldudak} and \textit{M. Oberlack}, J. Fluid Mech. 694, 332--351 (2012; Zbl 1250.76111) Full Text: DOI
Grebenev, V. N.; Oberlack, M. A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. (English) Zbl 1387.76035 ZAMM, Z. Angew. Math. Mech. 92, No. 3, 179-195 (2012). MSC: 76F05 35K65 35Q35 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, ZAMM, Z. Angew. Math. Mech. 92, No. 3, 179--195 (2012; Zbl 1387.76035) Full Text: DOI
Oberlack, Martin (ed.); Peinke, Joachim (ed.); Talamelli, Alessandro (ed.); Castillo, Luciano (ed.); Hölling, Michael (ed.) Progress in turbulence and wind energy IV. Proceedings of the iTi conference in turbulence 2010. (English) Zbl 1375.76009 Springer Proceedings in Physics 141. Berlin: Springer (ISBN 978-3-642-28967-5/hbk; 978-3-642-44221-6/pbk; 978-3-642-28968-2/ebook). xiv, 303 p. (2012). MSC: 76-06 76Fxx 00B25 00A79 PDFBibTeX XMLCite \textit{M. Oberlack} (ed.) et al., Progress in turbulence and wind energy IV. Proceedings of the iTi conference in turbulence 2010. Berlin: Springer (2012; Zbl 1375.76009) Full Text: DOI
Rosteck, Andreas M.; Oberlack, Martin Lie algebra of the symmetries of the multi-point equations in statistical turbulence theory. (English) Zbl 1362.76026 J. Nonlinear Math. Phys. 18, Suppl. 1, 251-264 (2011). MSC: 76F02 76M60 PDFBibTeX XMLCite \textit{A. M. Rosteck} and \textit{M. Oberlack}, J. Nonlinear Math. Phys. 18, 251--264 (2011; Zbl 1362.76026) Full Text: DOI
Oberlack, Martin On a class of SGS filters for LES with shape preserving concatenation properties. (English) Zbl 1245.76038 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4403-4407 (2011). Reviewer: Kai Schneider (Marseille) MSC: 76F65 PDFBibTeX XMLCite \textit{M. Oberlack}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4403--4407 (2011; Zbl 1245.76038) Full Text: DOI
Grebenev, Vladimir N.; Oberlack, Martin Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. (English) Zbl 1213.53024 J. Nonlinear Math. Phys. 18, No. 1, 109-120 (2011). MSC: 53B21 53B30 76F05 53B50 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, J. Nonlinear Math. Phys. 18, No. 1, 109--120 (2011; Zbl 1213.53024) Full Text: DOI
Oberlack, Martin; Rosteck, Andreas New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws. (English) Zbl 1210.76085 Discrete Contin. Dyn. Syst., Ser. S 3, No. 3, 451-471 (2010). MSC: 76F02 76F40 76F05 76M60 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{A. Rosteck}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 3, 451--471 (2010; Zbl 1210.76085) Full Text: DOI
Peinke, Joachim (ed.); Oberlack, Martin (ed.); Talamelli, Alessandro (ed.) Progress in turbulence III. Proceedings of the iTi conference in turbulence, Bertinoro, Italy, 2008. (English) Zbl 1368.76003 Springer Proceedings in Physics 131. Berlin: Springer (ISBN 978-3-642-02224-1/hbk; 978-3-642-26196-1/pbk; 978-3-642-02225-8/ebook). xii, 268 p. (2010). MSC: 76-06 76Fxx 00A79 00B25 PDFBibTeX XMLCite \textit{J. Peinke} (ed.) et al., Progress in turbulence III. Proceedings of the iTi conference in turbulence, Bertinoro, Italy, 2008. Berlin: Springer (2010; Zbl 1368.76003) Full Text: DOI
Grebenev, Vladimir N.; Oberlack, Martin A geometric interpretation of the second-order structure function arising in turbulence. (English) Zbl 1169.76027 Math. Phys. Anal. Geom. 12, No. 1, 1-18 (2009). MSC: 76F05 76F55 53Z05 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, Math. Phys. Anal. Geom. 12, No. 1, 1--18 (2009; Zbl 1169.76027) Full Text: DOI
Khujadze, G.; Oberlack, M.; Chagelishvili, G. DNS of stochastically forced laminar plane Couette flow. (English) Zbl 1393.76046 PAMM, Proc. Appl. Math. Mech. 8, 10763-10764 (2008). MSC: 76F65 PDFBibTeX XMLCite \textit{G. Khujadze} et al., PAMM, Proc. Appl. Math. Mech. 8, 10763--10764 (2008; Zbl 1393.76046) Full Text: DOI
Vigdorovich, Igor; Oberlack, Martin Asymptotic study of turbulent Poiseuille flow with wall transpiration. (English) Zbl 1393.76055 PAMM, Proc. Appl. Math. Mech. 8, 10607-10608 (2008). MSC: 76F65 PDFBibTeX XMLCite \textit{I. Vigdorovich} and \textit{M. Oberlack}, PAMM, Proc. Appl. Math. Mech. 8, 10607--10608 (2008; Zbl 1393.76055) Full Text: DOI
Mehdizadeh, A.; Oberlack, M. A study of effects of wall-normal rotation on the turbulent channel flow. (English) Zbl 1393.76051 PAMM, Proc. Appl. Math. Mech. 8, 10599-10600 (2008). MSC: 76F65 PDFBibTeX XMLCite \textit{A. Mehdizadeh} and \textit{M. Oberlack}, PAMM, Proc. Appl. Math. Mech. 8, 10599--10600 (2008; Zbl 1393.76051) Full Text: DOI
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. Lie algebra methods in turbulence. (English) Zbl 1393.76039 PAMM, Proc. Appl. Math. Mech. 8, 10593-10594 (2008). MSC: 76F05 76D05 35Q30 35A30 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., PAMM, Proc. Appl. Math. Mech. 8, 10593--10594 (2008; Zbl 1393.76039) Full Text: DOI
Oberlack, Martin; Khujadze, George New one- and two-point scaling laws in zero pressure gradient turbulent boundary layer flow. (English) Zbl 1208.76055 Kaneda, Yukio (ed.), IUTAM symposium on computational physics and new perspectives in turbulence. Proceedings of the IUTAM symposium on computational physics and new perspectives in turbulence, Nagoya University, Nagoya, Japan, September, 11–14, 2006. Dordrecht: Springer (ISBN 978-1-4020-6471-5/hbk). IUTAM Bookseries 4, 255-260 (2008). MSC: 76F40 76M60 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{G. Khujadze}, IUTAM Bookser. 4, 255--260 (2008; Zbl 1208.76055) Full Text: DOI
Aldudak, Fettah; Oberlack, Martin Dissipation element analysis of scalar fields in wall-bounded turbulent flow. (English) Zbl 1429.76063 Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 142, Suppl., 9-11 (2008). MSC: 76F65 76M99 PDFBibTeX XMLCite \textit{F. Aldudak} and \textit{M. Oberlack}, Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 142, 9--11 (2008; Zbl 1429.76063)
Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. Lie algebra methods for the applications to the statistical theory of turbulence. (English) Zbl 1161.76023 J. Nonlinear Math. Phys. 15, No. 2, 227-251 (2008). MSC: 76F55 76M60 76D05 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., J. Nonlinear Math. Phys. 15, No. 2, 227--251 (2008; Zbl 1161.76023) Full Text: DOI
Wendling, Ingmar; Oberlack, Martin On the investigation of a dynamic nonlinear subgrid-scale model. (English) Zbl 1303.76074 Kassinos, Stavros C. (ed.) et al., Complex effects in large eddy simulations. Papers of a symposium, Lemesos (Limassol), Cyprus, September 21–24, 2005. Berlin: Springer (ISBN 3-540-34233-8/pbk). Lecture Notes in Computational Science and Engineering 56, 89-97 (2007). MSC: 76F65 76F10 76M12 PDFBibTeX XMLCite \textit{I. Wendling} and \textit{M. Oberlack}, Lect. Notes Comput. Sci. Eng. 56, 89--97 (2007; Zbl 1303.76074) Full Text: DOI
Oberlack, Martin (ed.); Khujadze, George (ed.); Günther, Silke (ed.); Weller, Tanja (ed.); Frewer, Michael (ed.); Peinke, Joachim (ed.); Barth, Stephen (ed.) Progress in turbulence II. Proceedings of the iTi conference on turbulence, Bad Zwischenahn, September 25–28, 2005. (English) Zbl 1138.76008 Springer Proceedings in Physics 109. Berlin: Springer (ISBN 978-3-540-32602-1/hbk). xviii, 304 p. (2007). MSC: 76-06 76Fxx 00B25 PDFBibTeX XMLCite \textit{M. Oberlack} (ed.) et al., Progress in turbulence II. Proceedings of the iTi conference on turbulence, Bad Zwischenahn, September 25--28, 2005. Berlin: Springer (2007; Zbl 1138.76008) Full Text: DOI
Razafindralandy, Dina; Hamdouni, Aziz; Oberlack, Martin Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations. (English) Zbl 1112.76044 Eur. J. Mech., B, Fluids 26, No. 4, 531-550 (2007). MSC: 76F99 76D05 76M60 PDFBibTeX XMLCite \textit{D. Razafindralandy} et al., Eur. J. Mech., B, Fluids 26, No. 4, 531--550 (2007; Zbl 1112.76044) Full Text: DOI
Grebenev, V. N.; Oberlack, M. Compatible differential constraints to an infinite chain of transport equations for cumulants. (English) Zbl 1102.76028 Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 336-349 (2007). MSC: 76F25 76M60 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 336--349 (2007; Zbl 1102.76028) Full Text: DOI
Grebenev, V. N.; Oberlack, M. Hidden symmetries to a Hanjalic–Launder semiempirical model of turbulence. (English) Zbl 1164.76346 Regul. Chaotic Dyn. 11, No. 3, 371-381 (2006). MSC: 76F55 76F60 35Q35 35A30 35C05 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, Regul. Chaotic Dyn. 11, No. 3, 371--381 (2006; Zbl 1164.76346) Full Text: DOI
Oberlack, M.; Cabot, W.; Pettersson Reif, B. A.; Weller, T. Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation. (English) Zbl 1157.76341 J. Fluid Mech. 562, 383-403 (2006). MSC: 76F65 76U05 76M60 PDFBibTeX XMLCite \textit{M. Oberlack} et al., J. Fluid Mech. 562, 383--403 (2006; Zbl 1157.76341) Full Text: DOI
Weller, Tanja; Oberlack, Martin; Recktenwald, Ingo; Schröder, Wolfgang DNS and experiment of a turbulent channel flow with streamwise rotation – study of the cross flow phenomena. (English) Zbl 1391.76255 PAMM, Proc. Appl. Math. Mech. 5, 569-570 (2005). MSC: 76F65 76-05 PDFBibTeX XMLCite \textit{T. Weller} et al., PAMM, Proc. Appl. Math. Mech. 5, 569--570 (2005; Zbl 1391.76255) Full Text: DOI
Khujadze, G.; Oberlack, M. DNS and Lie group analysis of turbulent boundary layer flow. (English) Zbl 1391.76226 PAMM, Proc. Appl. Math. Mech. 5, 565-566 (2005). MSC: 76F65 76D10 PDFBibTeX XMLCite \textit{G. Khujadze} and \textit{M. Oberlack}, PAMM, Proc. Appl. Math. Mech. 5, 565--566 (2005; Zbl 1391.76226) Full Text: DOI
Guenther, Silke; Oberlack, Martin Implication for Lie group symmetries for RANS modeling. (English) Zbl 1391.76184 PAMM, Proc. Appl. Math. Mech. 5, 563-564 (2005). MSC: 76F60 PDFBibTeX XMLCite \textit{S. Guenther} and \textit{M. Oberlack}, PAMM, Proc. Appl. Math. Mech. 5, 563--564 (2005; Zbl 1391.76184) Full Text: DOI
Kurenkov, A.; Oberlack, M. RANS-simulation of premixed turbulent combustion using the level set approach. (English) Zbl 1391.76482 PAMM, Proc. Appl. Math. Mech. 5, 469-470 (2005). MSC: 76M20 76F65 80A25 PDFBibTeX XMLCite \textit{A. Kurenkov} and \textit{M. Oberlack}, PAMM, Proc. Appl. Math. Mech. 5, 469--470 (2005; Zbl 1391.76482) Full Text: DOI
Kurenkov, Alexey; Oberlack, Martin Modelling turbulent premixed combustion using the level set approach for Reynolds-averaged models. (English) Zbl 1201.76301 Flow Turbul. Combust. 74, No. 4, 387-407 (2005). MSC: 76V05 76F99 76M25 80A25 PDFBibTeX XMLCite \textit{A. Kurenkov} and \textit{M. Oberlack}, Flow Turbul. Combust. 74, No. 4, 387--407 (2005; Zbl 1201.76301) Full Text: DOI
Breuer, Stephan; Oberlack, Martin; Peters, Norbert Non-isotropic length scales during the compression stroke of a motored piston engine. (English) Zbl 1190.76147 Flow Turbul. Combust. 74, No. 2, 145-167 (2005). MSC: 76F50 76-05 PDFBibTeX XMLCite \textit{S. Breuer} et al., Flow Turbul. Combust. 74, No. 2, 145--167 (2005; Zbl 1190.76147) Full Text: DOI
Grebenev, V. N.; Oberlack, M. A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. (English) Zbl 1067.35072 J. Nonlinear Math. Phys. 12, No. 1, 1-9 (2005). MSC: 35Q35 76F05 PDFBibTeX XMLCite \textit{V. N. Grebenev} and \textit{M. Oberlack}, J. Nonlinear Math. Phys. 12, No. 1, 1--9 (2005; Zbl 1067.35072) Full Text: DOI
Guenther, S.; Oberlack; Brethouver, G.; Johansson, A. V. Investigations of shear free turbulent diffusion in a rotating frame. (English) Zbl 1354.76210 PAMM, Proc. Appl. Math. Mech. 4, 458-459 (2004). MSC: 76U05 76F99 PDFBibTeX XMLCite \textit{S. Guenther} et al., PAMM, Proc. Appl. Math. Mech. 4, 458--459 (2004; Zbl 1354.76210) Full Text: DOI
Khujadze, G.; Oberlack, M. DNS and scaling laws from new symmetry groups of ZPG turbulent boundary layer flow. (English) Zbl 1148.76320 Theor. Comput. Fluid Dyn. 18, No. 5, 391-411 (2004). MSC: 76F40 76M60 PDFBibTeX XMLCite \textit{G. Khujadze} and \textit{M. Oberlack}, Theor. Comput. Fluid Dyn. 18, No. 5, 391--411 (2004; Zbl 1148.76320) Full Text: DOI
Oberlack, Martin; Guenther, Silke New scaling laws of shear-free turbulent diffusion and diffusion-waves. (English) Zbl 1082.76535 Smits, Alexander J. (ed.), IUTAM symposium on Reynolds number scaling in turbulent flow. Proceedings of the IUTAM symposium, Princeton, NJ, USA, September 11–13, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1775-8/hbk). Fluid Mech. Appl. 74, 59-64 (2004). MSC: 76F25 76R50 76M60 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{S. Guenther}, Fluid Mech. Appl. 74, 59--64 (2004; Zbl 1082.76535)
Oberlack, Martin; Guenther, Silke Shear-free turbulent diffusion – classical and new scaling laws. (English) Zbl 1068.76526 Fluid Dyn. Res. 33, No. 5-6, 453-476 (2003). MSC: 76F99 76M60 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{S. Guenther}, Fluid Dyn. Res. 33, No. 5--6, 453--476 (2003; Zbl 1068.76526) Full Text: DOI
Oberlack, M. On the decay exponent of isotropic turbulence. (English) Zbl 1419.76244 PAMM, Proc. Appl. Math. Mech. 1, 294-297 (2002). MSC: 76F05 PDFBibTeX XMLCite \textit{M. Oberlack}, PAMM, Proc. Appl. Math. Mech. 1, 294--297 (2002; Zbl 1419.76244) Full Text: DOI
Oberlack, Martin Symmetries and invariant solutions of turbulent flows and their implications for turbulence modelling. (English) Zbl 1076.76001 Oberlack, Martin (ed.) et al., Theory of turbulence. Papers from a summer course, Udine, Italy, September 17–21, 2001. Wien: Springer (ISBN 3-211-83694-2/pbk). CISM Courses Lect. 442, 301-366 (2002). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 76-02 76F10 76F05 76F60 76M60 PDFBibTeX XMLCite \textit{M. Oberlack}, CISM Courses Lect. 442, 301--366 (2002; Zbl 1076.76001)
Oberlack, M.; Wenzel, H.; Peters, N. On symmetries and averaging of the \(G\)-equation for premixed combustion. (English) Zbl 1114.80306 Combust. Theory Model. 5, No. 3, 363-383 (2001). MSC: 80A25 76V05 76F65 PDFBibTeX XMLCite \textit{M. Oberlack} et al., Combust. Theory Model. 5, No. 3, 363--383 (2001; Zbl 1114.80306) Full Text: DOI
Oberlack, Martin A unified approach for symmetries in plane parallel turbulent shear flows. (English) Zbl 1007.76067 J. Fluid Mech. 427, 299-328 (2001). MSC: 76M60 76F10 PDFBibTeX XMLCite \textit{M. Oberlack}, J. Fluid Mech. 427, 299--328 (2001; Zbl 1007.76067) Full Text: DOI
Oberlack, M. Asymptotic expansion, symmetry groups, and invariant solutions of laminar and turbulent wall-bounded flows. (English) Zbl 1050.76027 ZAMM, Z. Angew. Math. Mech. 80, No. 11-12, 791-800 (2000). MSC: 76F40 76M60 76M45 PDFBibTeX XMLCite \textit{M. Oberlack}, ZAMM, Z. Angew. Math. Mech. 80, No. 11--12, 791--800 (2000; Zbl 1050.76027) Full Text: DOI
Oberlack, M. Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large eddy simulation of turbulence. (English) Zbl 0997.76037 Gyr, Albert (ed.) et al., Fundamental problematic issues in turbulence. 2nd Monte Verita colloquium, Monte Verita, Switzerland, March 23-27, 1998. Basel: Birkhäuser. 247-255 (1999). MSC: 76F65 76D05 76M60 PDFBibTeX XMLCite \textit{M. Oberlack}, in: Fundamental problematic issues in turbulence. 2nd Monte Verita colloquium, Monte Verita, Switzerland, March 23--27, 1998. Basel: Birkhäuser. 247--255 (1999; Zbl 0997.76037)
Oberlack, Martin Symmetries, invariance and scaling-laws in inhomogeneous turbulent shear flows. (English) Zbl 0968.76025 Flow Turbul. Combust. 62, No. 2, 111-135 (1999). Reviewer: Alexander V.Gemintern (Haifa) MSC: 76F10 76M60 76F60 76F40 PDFBibTeX XMLCite \textit{M. Oberlack}, Flow Turbul. Combust. 62, No. 2, 111--135 (1999; Zbl 0968.76025) Full Text: DOI
Oberlack, M. Symmetries and scaling-laws in turbulence. (English) Zbl 0952.76512 ZAMM, Z. Angew. Math. Mech. 79, Suppl. 1, S123-S126 (1999). MSC: 76F10 76M60 76F40 76U05 PDFBibTeX XMLCite \textit{M. Oberlack}, ZAMM, Z. Angew. Math. Mech. 79, S123--S126 (1999; Zbl 0952.76512) Full Text: DOI
Oberlack, Martin Similarity in non-rotating and rotating turbulent pipe flows. (English) Zbl 0941.76034 J. Fluid Mech. 379, 1-22 (1999). MSC: 76F10 76M60 76U05 76M45 PDFBibTeX XMLCite \textit{M. Oberlack}, J. Fluid Mech. 379, 1--22 (1999; Zbl 0941.76034) Full Text: DOI
Oberlack, Martin Non-isotropic dissipation in non-homogeneous turbulence. (English) Zbl 0901.76023 J. Fluid Mech. 350, 351-374 (1997). MSC: 76F99 PDFBibTeX XMLCite \textit{M. Oberlack}, J. Fluid Mech. 350, 351--374 (1997; Zbl 0901.76023) Full Text: DOI
Oberlack, Martin Closure of the dissipation tensor and the pressure-strain tensor based on the two-point correlation equation. (English) Zbl 0833.76031 Durst, Franz (ed.) et al., Turbulent shear flows 9. Selected papers from the ninth international symposium on turbulent shear flows, Kyoto, Japan, August 16-18, 1993. Berlin: Springer-Verlag. 33-52 (1995). MSC: 76F99 PDFBibTeX XMLCite \textit{M. Oberlack}, Turbul. Shear Flows 9, 33--52 (1995; Zbl 0833.76031)
Oberlack, M.; Peters, N. Closure of the two-point correlation equation as a basis for Reynolds stress models. (English) Zbl 0778.76036 Appl. Sci. Res. 51, No. 1-2, 533-538 (1993). MSC: 76F05 PDFBibTeX XMLCite \textit{M. Oberlack} and \textit{N. Peters}, Appl. Sci. Res. 51, No. 1--2, 533--538 (1993; Zbl 0778.76036) Full Text: DOI