Edit Profile (opens in new tab) Oberlack, Martin Co-Author Distance Author ID: oberlack.martin Published as: Oberlack, Martin; Oberlack, M.; Oberlack more...less External Links: ORCID Documents Indexed: 103 Publications since 1993, including 2 Additional arXiv Preprints 10 Contributions as Editor Co-Authors: 82 Co-Authors with 100 Joint Publications 1,686 Co-Co-Authors all top 5 Co-Authors 12 single-authored 21 Grebenev, Vladimir N. 12 Wacławczyk, Marta 8 Kummer, Florian 8 Peinke, Joachim 8 Wang, Yongqi 7 Günther, Silke 7 Talamelli, Alessandro 6 Grishkov, Alexander Nikolaevich 5 Khujadze, George R. 4 Cheviakov, Alexei F. 4 Hayat, Tasawar 4 Hoyas, Sergio 4 Müller, Björn 4 Peters, Norbert 4 Sadeghi, Hamed 4 Weller, Tanja 3 Abbas, Zaheer 3 Frewer, Michael 3 Gauding, Michael 3 Örlü, Ramis 2 Aldudak, Fettah 2 Avsarkisov, Victor 2 Janocha, Daniel D. 2 Kurenkov, Alexey 2 Nold, Andreas 2 Plümacher, Dominik 2 Recktenwald, Ingo 2 Rosteck, Andreas M. 2 Schröder, Wolfgang Armin 2 Vigdorovich, Igor 2 Wendling, Ingmar 1 Alcántara-Ávila, Francisco 1 Ali, Nasir 1 Arlitt, R. 1 Bakhshandeh-Chamazkoti, Rohollah 1 Barth, Stephen W. 1 Brethouver, G. 1 Breuer, Stephan 1 Busse, Friedrich Hermann 1 Cabot, William H. 1 Carati, Daniele 1 Castillo, Luciano 1 Chagelishvili, George 1 Dierkes, Dominik 1 Dokoza, Toni 1 Emamy, Nehzat 1 García-Raffi, Luis Miguel 1 Geisenhofer, Markus 1 Görtz, Simon 1 Hamdouni, Aziz 1 Hau, Jan-Niklas 1 Hölling, Michael 1 Jegust, C. 1 Johansson, Arne V. 1 Kallendorf, Christina 1 Kampers, Gerrit 1 Karcher, Martin 1 Kelbin, Olga 1 Klamroth, Kathrin 1 Klein, Benedikt 1 Kraft, Susanne 1 Kraheberger, S. 1 Krämer-Eis, S. 1 Lang, Jens 1 Leugering, Günter 1 Liao, Shijun 1 Liu, Zeng 1 Martin, Alexander 1 Megrabov, Alexander G. 1 Moradi Ajam, Saeid 1 Morsi, Antonio 1 Mrosek, Markus 1 Ostrowski, Manfred 1 Pettersson Reif, Bjørn Anders 1 Praturi, Divya Sri 1 Razafindralandy, Dina 1 Rosen, Roland 1 Smuda, Martin 1 T, Dokoza 1 Utz, Thomas 1 Wenzel, Holger 1 Zieleniewicz, Andreas all top 5 Serials 17 Journal of Fluid Mechanics 11 PAMM. Proceedings in Applied Mathematics and Mechanics 8 Springer Proceedings in Physics 6 Journal of Mathematical Physics 6 Journal of Nonlinear Mathematical Physics 6 Journal of Physics A: Mathematical and Theoretical 4 Physics of Fluids 3 International Journal for Numerical Methods in Engineering 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Flow, Turbulence and Combustion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Fluid Dynamics Research 2 Continuum Mechanics and Thermodynamics 2 Mathematical Physics, Analysis and Geometry 2 Communications in Nonlinear Science and Numerical Simulation 2 Combustion Theory and Modelling 2 Symmetry 1 Applied Scientific Research 1 Archives of Mechanics 1 Computers and Fluids 1 International Journal of Non-Linear Mechanics 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Theoretical and Computational Fluid Dynamics 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 SIAM Journal on Scientific Computing 1 European Journal of Mechanics. B. Fluids 1 Regular and Chaotic Dynamics 1 The ANZIAM Journal 1 Journal of Turbulence 1 Nonlinear Analysis. Real World Applications 1 Journal of the Calcutta Mathematical Society 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 ISNM. International Series of Numerical Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics all top 5 Fields 103 Fluid mechanics (76-XX) 16 Partial differential equations (35-XX) 10 General and overarching topics; collections (00-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Numerical analysis (65-XX) 7 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 565 times in 404 Documents Cited by ▼ Year ▼ Highly accurate surface and volume integration on implicit domains by means of moment-fitting. Zbl 1352.65083 Müller, B.; Kummer, F.; Oberlack, M. 80 2013 A unified approach for symmetries in plane parallel turbulent shear flows. Zbl 1007.76067 Oberlack, Martin 54 2001 A high-order discontinuous Galerkin method for compressible flows with immersed boundaries. Zbl 1380.65384 Müller, B.; Krämer-Eis, S.; Kummer, F.; Oberlack, M. 30 2017 Similarity in non-rotating and rotating turbulent pipe flows. Zbl 0941.76034 Oberlack, Martin 24 1999 Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface. Zbl 1203.76169 Abbas, Z.; Wang, Y.; Hayat, T.; Oberlack, M. 23 2008 A SIMPLE based discontinuous Galerkin solver for steady incompressible flows. Zbl 1286.76124 Klein, Benedikt; Kummer, Florian; Oberlack, Martin 18 2013 Closure of the two-point correlation equation as a basis for Reynolds stress models. Zbl 0778.76036 Oberlack, M.; Peters, N. 17 1993 On the decay exponent of isotropic turbulence. Zbl 1419.76244 Oberlack, M. 17 2002 New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws. Zbl 1210.76085 Oberlack, Martin; Rosteck, Andreas 16 2010 Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface. Zbl 1196.35160 Abbas, Z.; Wang, Y.; Hayat, T.; Oberlack, M. 16 2010 Simple multidimensional integration of discontinuous functions with application to level set methods. Zbl 1352.65084 Müller, B.; Kummer, F.; Oberlack, M.; Wang, Y. 15 2012 DNS and scaling laws from new symmetry groups of ZPG turbulent boundary layer flow. Zbl 1148.76320 Khujadze, G.; Oberlack, M. 14 2004 On symmetries and averaging of the \(G\)-equation for premixed combustion. Zbl 1114.80306 Oberlack, M.; Wenzel, H.; Peters, N. 13 2001 Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation. Zbl 1157.76341 Oberlack, M.; Cabot, W.; Pettersson Reif, B. A.; Weller, T. 13 2006 Non-isotropic dissipation in non-homogeneous turbulence. Zbl 0901.76023 Oberlack, Martin 12 1997 Slip effects and heat transfer analysis in a viscous fluid over an oscillatory stretching surface. Zbl 1154.76017 Abbas, Z.; Wang, Y.; Hayat, T.; Oberlack, M. 11 2009 Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier-Stokes equations. Zbl 1331.76008 Cheviakov, Alexei F.; Oberlack, Martin 10 2014 Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. Zbl 1465.76045 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 10 2017 New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows. Zbl 1287.76079 Kelbin, Olga; Cheviakov, Alexei F.; Oberlack, Martin 9 2013 Lie algebra of the symmetries of the multi-point equations in statistical turbulence theory. Zbl 1362.76026 Rosteck, Andreas M.; Oberlack, Martin 9 2011 On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation. Zbl 1415.76292 Sadeghi, H.; Oberlack, M.; Gauding, M. 8 2018 New scaling laws for turbulent Poiseuille flow with wall transpiration. Zbl 1416.76073 Avsarkisov, V.; Oberlack, M.; Hoyas, S. 7 2014 Symmetry investigations on the incompressible stationary axisymmetric Euler equations with swirl. Zbl 1155.76387 Frewer, M.; Oberlack, M.; Guenther, S. 7 2007 Symmetries, invariance and scaling-laws in inhomogeneous turbulent shear flows. Zbl 0968.76025 Oberlack, Martin 6 1999 Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. Zbl 1364.76065 Wacławczyk, M.; Grebenev, V. N.; Oberlack, M. 6 2017 Mathematical optimization of water networks. Zbl 1252.65003 5 2012 Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038 Grebenev, V. N.; Oberlack, M. 5 2007 On the extension of Lie group analysis to functional-differential equations. Zbl 1170.76045 Oberlack, M.; Wacławczyk, M. 5 2006 Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024 Grebenev, Vladimir N.; Oberlack, Martin 5 2011 Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations. Zbl 1112.76044 Razafindralandy, Dina; Hamdouni, Aziz; Oberlack, Martin 5 2007 Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large eddy simulation of turbulence. Zbl 0997.76037 Oberlack, M. 4 1999 DNS of a turbulent Couette flow at constant wall transpiration up to \(Re_\tau=1000\). Zbl 1421.76131 Kraheberger, S.; Hoyas, Sergio; Oberlack, M. 4 2018 Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation. Zbl 1302.76151 Wacławczyk, Marta; Oberlack, Martin 4 2013 A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. Zbl 1067.35072 Grebenev, V. N.; Oberlack, M. 4 2005 A thermodynamic model of multiphase flows with moving interfaces and contact line. Zbl 1272.76304 Wang, Yongqi; Oberlack, Martin 4 2011 Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence. Zbl 1273.76126 Oberlack, Martin; Zieleniewicz, Andreas 4 2013 A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. Zbl 1387.76035 Grebenev, V. N.; Oberlack, M. 4 2012 A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027 Grebenev, Vladimir N.; Oberlack, Martin 4 2009 Corrigendum to: “On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation”. Zbl 1460.76415 Sadeghi, H.; Oberlack, M.; Gauding, M. 4 2020 An extension of the discontinuous Galerkin method for the singular Poisson equation. Zbl 1266.65195 Kummer, Florian; Oberlack, Martin 4 2013 Higher-order symmetries and conservation laws of the \(G\)-equation for premixed combustion and resulting numerical schemes. Zbl 1189.76759 Oberlack, Martin; Cheviakov, Alexei F. 4 2010 Asymptotic expansion, symmetry groups, and invariant solutions of laminar and turbulent wall-bounded flows. Zbl 1050.76027 Oberlack, M. 3 2000 Shear-free turbulent diffusion – classical and new scaling laws. Zbl 1068.76526 Oberlack, Martin; Guenther, Silke 3 2003 Peristaltic motion of a magnetohydrodynamic micropolar fluid in a tube. Zbl 1221.76252 Wang, Yongqi; Ali, Nasir; Hayat, Tasawar; Oberlack, Martin 3 2011 Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence. Zbl 1350.76024 Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 3 2013 Comparison of direct numerical simulations and particle-image velocimetry data of turbulent channel flow rotating about the streamwise axis. Zbl 1182.76624 Recktenwald, I.; Weller, T.; Schröder, W.; Oberlack, M. 3 2007 Symmetry analysis in linear hydrodynamic stability theory: classical and new modes in linear shear. Zbl 1327.76079 Nold, Andreas; Oberlack, Martin 2 2013 Implicit-explicit and explicit projection schemes for the unsteady incompressible Navier-Stokes equations using a high-order dG method. Zbl 1390.76309 Emamy, Nehzat; Kummer, Florian; Mrosek, Markus; Karcher, Martin; Oberlack, Martin 2 2017 DNS and experiment of a turbulent channel flow with streamwise rotation – study of the cross flow phenomena. Zbl 1391.76255 Weller, Tanja; Oberlack, Martin; Recktenwald, Ingo; Schröder, Wolfgang 2 2005 On new stability modes of plane canonical shear flows using symmetry classification. Zbl 1327.76080 Nold, Andreas; Oberlack, Martin; Cheviakov, Alexei F. 2 2015 On stochastic Damköhler number variations in a homogeneous flow reactor. Zbl 1009.76098 Oberlack, M.; Arlitt, R.; Peters, N. 2 2000 Lie symmetry analysis of the Hopf functional-differential equation. Zbl 1378.35012 Janocha, Daniel D.; Wacławczyk, Marta; Oberlack, Martin 2 2015 Symmetries and invariant solutions of turbulent flows and their implications for turbulence modelling. Zbl 1076.76001 Oberlack, Martin 2 2002 Modelling turbulent premixed combustion using the level set approach for Reynolds-averaged models. Zbl 1201.76301 Kurenkov, Alexey; Oberlack, Martin 2 2005 The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence. Zbl 1350.76023 Grebenev, V. N.; Grishkov, A. N.; Oberlack, M. 2 2013 Non-isotropic length scales during the compression stroke of a motored piston engine. Zbl 1190.76147 Breuer, Stephan; Oberlack, Martin; Peters, Norbert 2 2005 New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence. Zbl 1460.76362 Sadeghi, Hamed; Oberlack, Martin 2 2020 Constitutive modeling of multiphase flows with moving interfaces and contact line. Zbl 1341.76031 Wang, Yongqi; Oberlack, Martin 1 2013 Euler and Navier-Stokes equations in a new time-dependent helically symmetric system: derivation of the fundamental system and new conservation laws. Zbl 1383.76014 Dierkes, Dominik; Oberlack, Martin 1 2017 The dual stream function representation of an ideal steady fluid flow and its local geometric structure. Zbl 1302.76073 Frewer, M.; Oberlack, M.; Grebenev, V. N. 1 2014 Lie-Bäcklund symmetries of the \(G\)-equation without advection. Zbl 1100.80007 Oberlack, Martin 1 2004 Explicit series solution of a closure model for the von Kármán-Howarth equation. Zbl 1235.34065 Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun 1 2010 Dissipation element analysis in turbulent channel flow. Zbl 1250.76111 Aldudak, Fettah; Oberlack, Martin 1 2012 Progress in turbulence and wind energy IV. Proceedings of the iTi conference in turbulence 2010. Zbl 1375.76009 1 2012 Lie algebra methods for the applications to the statistical theory of turbulence. Zbl 1161.76023 Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 1 2008 On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions. Zbl 1457.76121 Hau, Jan-Niklas; Oberlack, Martin; Chagelishvili, George 1 2017 Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence. Zbl 1509.76037 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 1 2019 New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets. Zbl 1492.76067 Sadeghi, H.; Oberlack, M.; Gauding, M. 1 2021 Response to “Comment on “Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation””. Zbl 1333.76062 Wacławczyk, Marta; Oberlack, Martin 1 2016 Theory of turbulence. Papers from a summer course, Udine, Italy, September 17–21, 2001. Zbl 1031.76002 1 2002 Solution to the 1D Stefan problem using the unified transform method. Zbl 1519.45005 T, Dokoza; Plümacher, D.; Smuda, M.; Jegust, C.; Oberlack, M. 1 2021 New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets. Zbl 1492.76067 Sadeghi, H.; Oberlack, M.; Gauding, M. 1 2021 Solution to the 1D Stefan problem using the unified transform method. Zbl 1519.45005 T, Dokoza; Plümacher, D.; Smuda, M.; Jegust, C.; Oberlack, M. 1 2021 Corrigendum to: “On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation”. Zbl 1460.76415 Sadeghi, H.; Oberlack, M.; Gauding, M. 4 2020 New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence. Zbl 1460.76362 Sadeghi, Hamed; Oberlack, Martin 2 2020 Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence. Zbl 1509.76037 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 1 2019 On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation. Zbl 1415.76292 Sadeghi, H.; Oberlack, M.; Gauding, M. 8 2018 DNS of a turbulent Couette flow at constant wall transpiration up to \(Re_\tau=1000\). Zbl 1421.76131 Kraheberger, S.; Hoyas, Sergio; Oberlack, M. 4 2018 A high-order discontinuous Galerkin method for compressible flows with immersed boundaries. Zbl 1380.65384 Müller, B.; Krämer-Eis, S.; Kummer, F.; Oberlack, M. 30 2017 Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence. Zbl 1465.76045 Grebenev, V. N.; Wacławczyk, M.; Oberlack, M. 10 2017 Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow. Zbl 1364.76065 Wacławczyk, M.; Grebenev, V. N.; Oberlack, M. 6 2017 Implicit-explicit and explicit projection schemes for the unsteady incompressible Navier-Stokes equations using a high-order dG method. Zbl 1390.76309 Emamy, Nehzat; Kummer, Florian; Mrosek, Markus; Karcher, Martin; Oberlack, Martin 2 2017 Euler and Navier-Stokes equations in a new time-dependent helically symmetric system: derivation of the fundamental system and new conservation laws. Zbl 1383.76014 Dierkes, Dominik; Oberlack, Martin 1 2017 On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions. Zbl 1457.76121 Hau, Jan-Niklas; Oberlack, Martin; Chagelishvili, George 1 2017 Response to “Comment on “Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation””. Zbl 1333.76062 Wacławczyk, Marta; Oberlack, Martin 1 2016 On new stability modes of plane canonical shear flows using symmetry classification. Zbl 1327.76080 Nold, Andreas; Oberlack, Martin; Cheviakov, Alexei F. 2 2015 Lie symmetry analysis of the Hopf functional-differential equation. Zbl 1378.35012 Janocha, Daniel D.; Wacławczyk, Marta; Oberlack, Martin 2 2015 Generalized Ertel’s theorem and infinite hierarchies of conserved quantities for three-dimensional time-dependent Euler and Navier-Stokes equations. Zbl 1331.76008 Cheviakov, Alexei F.; Oberlack, Martin 10 2014 New scaling laws for turbulent Poiseuille flow with wall transpiration. Zbl 1416.76073 Avsarkisov, V.; Oberlack, M.; Hoyas, S. 7 2014 The dual stream function representation of an ideal steady fluid flow and its local geometric structure. Zbl 1302.76073 Frewer, M.; Oberlack, M.; Grebenev, V. N. 1 2014 Highly accurate surface and volume integration on implicit domains by means of moment-fitting. Zbl 1352.65083 Müller, B.; Kummer, F.; Oberlack, M. 80 2013 A SIMPLE based discontinuous Galerkin solver for steady incompressible flows. Zbl 1286.76124 Klein, Benedikt; Kummer, Florian; Oberlack, Martin 18 2013 New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows. Zbl 1287.76079 Kelbin, Olga; Cheviakov, Alexei F.; Oberlack, Martin 9 2013 Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation. Zbl 1302.76151 Wacławczyk, Marta; Oberlack, Martin 4 2013 Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence. Zbl 1273.76126 Oberlack, Martin; Zieleniewicz, Andreas 4 2013 An extension of the discontinuous Galerkin method for the singular Poisson equation. Zbl 1266.65195 Kummer, Florian; Oberlack, Martin 4 2013 Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence. Zbl 1350.76024 Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 3 2013 Symmetry analysis in linear hydrodynamic stability theory: classical and new modes in linear shear. Zbl 1327.76079 Nold, Andreas; Oberlack, Martin 2 2013 The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence. Zbl 1350.76023 Grebenev, V. N.; Grishkov, A. N.; Oberlack, M. 2 2013 Constitutive modeling of multiphase flows with moving interfaces and contact line. Zbl 1341.76031 Wang, Yongqi; Oberlack, Martin 1 2013 Simple multidimensional integration of discontinuous functions with application to level set methods. Zbl 1352.65084 Müller, B.; Kummer, F.; Oberlack, M.; Wang, Y. 15 2012 Mathematical optimization of water networks. Zbl 1252.65003 5 2012 A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence. Zbl 1387.76035 Grebenev, V. N.; Oberlack, M. 4 2012 Dissipation element analysis in turbulent channel flow. Zbl 1250.76111 Aldudak, Fettah; Oberlack, Martin 1 2012 Progress in turbulence and wind energy IV. Proceedings of the iTi conference in turbulence 2010. Zbl 1375.76009 1 2012 Lie algebra of the symmetries of the multi-point equations in statistical turbulence theory. Zbl 1362.76026 Rosteck, Andreas M.; Oberlack, Martin 9 2011 Geometric realization of the two-point velocity correlation tensor for isotropic turbulence. Zbl 1213.53024 Grebenev, Vladimir N.; Oberlack, Martin 5 2011 A thermodynamic model of multiphase flows with moving interfaces and contact line. Zbl 1272.76304 Wang, Yongqi; Oberlack, Martin 4 2011 Peristaltic motion of a magnetohydrodynamic micropolar fluid in a tube. Zbl 1221.76252 Wang, Yongqi; Ali, Nasir; Hayat, Tasawar; Oberlack, Martin 3 2011 New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws. Zbl 1210.76085 Oberlack, Martin; Rosteck, Andreas 16 2010 Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface. Zbl 1196.35160 Abbas, Z.; Wang, Y.; Hayat, T.; Oberlack, M. 16 2010 Higher-order symmetries and conservation laws of the \(G\)-equation for premixed combustion and resulting numerical schemes. Zbl 1189.76759 Oberlack, Martin; Cheviakov, Alexei F. 4 2010 Explicit series solution of a closure model for the von Kármán-Howarth equation. Zbl 1235.34065 Liu, Zeng; Oberlack, Martin; Grebenev, Vladimir N.; Liao, Shi-Jun 1 2010 Slip effects and heat transfer analysis in a viscous fluid over an oscillatory stretching surface. Zbl 1154.76017 Abbas, Z.; Wang, Y.; Hayat, T.; Oberlack, M. 11 2009 A geometric interpretation of the second-order structure function arising in turbulence. Zbl 1169.76027 Grebenev, Vladimir N.; Oberlack, Martin 4 2009 Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface. Zbl 1203.76169 Abbas, Z.; Wang, Y.; Hayat, T.; Oberlack, M. 23 2008 Lie algebra methods for the applications to the statistical theory of turbulence. Zbl 1161.76023 Grebenev, V. N.; Oberlack, M.; Grishkov, A. N. 1 2008 Symmetry investigations on the incompressible stationary axisymmetric Euler equations with swirl. Zbl 1155.76387 Frewer, M.; Oberlack, M.; Guenther, S. 7 2007 Approximate Lie symmetries of the Navier-Stokes equation. Zbl 1157.76038 Grebenev, V. N.; Oberlack, M. 5 2007 Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations. Zbl 1112.76044 Razafindralandy, Dina; Hamdouni, Aziz; Oberlack, Martin 5 2007 Comparison of direct numerical simulations and particle-image velocimetry data of turbulent channel flow rotating about the streamwise axis. Zbl 1182.76624 Recktenwald, I.; Weller, T.; Schröder, W.; Oberlack, M. 3 2007 Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation. Zbl 1157.76341 Oberlack, M.; Cabot, W.; Pettersson Reif, B. A.; Weller, T. 13 2006 On the extension of Lie group analysis to functional-differential equations. Zbl 1170.76045 Oberlack, M.; Wacławczyk, M. 5 2006 A Chorin-type formula for solutions to a closure model for the von Kármán-Howarth equation. Zbl 1067.35072 Grebenev, V. N.; Oberlack, M. 4 2005 DNS and experiment of a turbulent channel flow with streamwise rotation – study of the cross flow phenomena. Zbl 1391.76255 Weller, Tanja; Oberlack, Martin; Recktenwald, Ingo; Schröder, Wolfgang 2 2005 Modelling turbulent premixed combustion using the level set approach for Reynolds-averaged models. Zbl 1201.76301 Kurenkov, Alexey; Oberlack, Martin 2 2005 Non-isotropic length scales during the compression stroke of a motored piston engine. Zbl 1190.76147 Breuer, Stephan; Oberlack, Martin; Peters, Norbert 2 2005 DNS and scaling laws from new symmetry groups of ZPG turbulent boundary layer flow. Zbl 1148.76320 Khujadze, G.; Oberlack, M. 14 2004 Lie-Bäcklund symmetries of the \(G\)-equation without advection. Zbl 1100.80007 Oberlack, Martin 1 2004 Shear-free turbulent diffusion – classical and new scaling laws. Zbl 1068.76526 Oberlack, Martin; Guenther, Silke 3 2003 On the decay exponent of isotropic turbulence. Zbl 1419.76244 Oberlack, M. 17 2002 Symmetries and invariant solutions of turbulent flows and their implications for turbulence modelling. Zbl 1076.76001 Oberlack, Martin 2 2002 Theory of turbulence. Papers from a summer course, Udine, Italy, September 17–21, 2001. Zbl 1031.76002 1 2002 A unified approach for symmetries in plane parallel turbulent shear flows. Zbl 1007.76067 Oberlack, Martin 54 2001 On symmetries and averaging of the \(G\)-equation for premixed combustion. Zbl 1114.80306 Oberlack, M.; Wenzel, H.; Peters, N. 13 2001 Asymptotic expansion, symmetry groups, and invariant solutions of laminar and turbulent wall-bounded flows. Zbl 1050.76027 Oberlack, M. 3 2000 On stochastic Damköhler number variations in a homogeneous flow reactor. Zbl 1009.76098 Oberlack, M.; Arlitt, R.; Peters, N. 2 2000 Similarity in non-rotating and rotating turbulent pipe flows. Zbl 0941.76034 Oberlack, Martin 24 1999 Symmetries, invariance and scaling-laws in inhomogeneous turbulent shear flows. Zbl 0968.76025 Oberlack, Martin 6 1999 Symmetries of the Navier-Stokes equations and their implications for subgrid-models in large eddy simulation of turbulence. Zbl 0997.76037 Oberlack, M. 4 1999 Non-isotropic dissipation in non-homogeneous turbulence. Zbl 0901.76023 Oberlack, Martin 12 1997 Closure of the two-point correlation equation as a basis for Reynolds stress models. Zbl 0778.76036 Oberlack, M.; Peters, N. 17 1993 all cited Publications top 5 cited Publications all top 5 Cited by 679 Authors 52 Oberlack, Martin 19 Grebenev, Vladimir N. 18 Hayat, Tasawar 13 Düster, Alexander 12 Cheviakov, Alexei F. 9 Dumbser, Michael 8 Wacławczyk, Marta 7 Kummer, Florian 7 Schillinger, Dominik 7 Tavelli, Maurizio 6 Asghar, Saleem 6 Grishkov, Alexander Nikolaevich 6 Hubrich, Simeon 6 Olshanskii, Maxim A. 5 Badia, Santiago 5 Bihlo, Alexander 5 Jiménez, Javier 5 Johansson, Arne V. 5 Lehrenfeld, Christoph 5 Mustafa, Meraj 5 Popovych, Roman O. 5 Wall, Wolfgang A. 4 Abbas, Zaheer 4 Benvenuti, Elena 4 Frewer, Michael 4 Garhuom, Wadhah 4 Gauding, Michael 4 Hoyas, Sergio 4 Kandasamy, Ramasamy 4 Khujadze, George R. 4 Monkewitz, Peter A. 4 Muhaimin, Ismoen 4 Rubinstein, Robert 4 Sadeghi, Hamed 4 Schröder, Wolfgang Armin 4 Ventura, Giulio 3 Antonia, Robert Anthony 3 Bluman, George Wallace 3 Bothe, Dieter 3 Chen, Xi 3 da Silva, Carlos Bettencourt 3 de Divitiis, Nicola 3 Fehn, Niklas 3 Ferrer, Esteban 3 Grundestam, Olof 3 Hamdouni, Aziz 3 Hussain, Fazle 3 Khan, Sami Ullah 3 Kou, Jiaqing 3 Kreiss, Gunilla 3 Kronbichler, Martin 3 Liao, Shijun 3 Mason, David Paul 3 Massing, André 3 May, Sandra 3 Mizuno, Yoshinori 3 Nagib, Hassan M. 3 Neiva, Eric 3 Obaidat, Saleem A. 3 Örlü, Ramis 3 Peters, Norbert 3 Ponara, Nicola 3 Pop, Ioan 3 Razafindralandy, Dina 3 Sadat, Rahma 3 Sadiki, Amsini 3 Sagaut, Pierre 3 Saye, Robert I. 3 Schlatter, Philipp 3 She, Zhensu 3 Shehzad, Sabir Ali 3 Smuda, Martin 3 Sticko, Simon 3 Verdugo, Francesc 3 Wang, Yongqi 3 Xu, Xianmin 2 Abedian, Alireza 2 Adams, Nikolaus A. 2 Adams, Thomas R. 2 Ali, Mohamed Reda 2 Alkishriwi, Nouri A. 2 Al-saedi, Ahmed Eid Salem 2 Araya, Guillermo 2 Baev, M. K. 2 Bakhshandeh-Chamazkoti, Rohollah 2 Bhattacharyya, Krishnendu 2 Bletzinger, Kai-Uwe 2 Boscheri, Walter 2 Brethouwer, Geert 2 Brio, Moysey 2 Busto, Saray 2 Caputo, Jean-Guy 2 Castillo, Luciano 2 Chernykh, Gennadiǐ Georgievich 2 Clark, Timothy T. 2 Cloos, Ferdinand-J. 2 Coombs, William M. 2 Danaila, Luminita 2 Dierkes, Dominik 2 Djenidi, Lyazid ...and 579 more Authors all top 5 Cited in 99 Serials 61 Journal of Fluid Mechanics 34 Journal of Computational Physics 29 Computer Methods in Applied Mechanics and Engineering 17 Physics of Fluids 15 Journal of Mathematical Physics 13 Computers & Mathematics with Applications 12 Computers and Fluids 10 SIAM Journal on Scientific Computing 8 Computational Mechanics 8 Journal of Physics A: Mathematical and Theoretical 7 Theoretical and Computational Fluid Dynamics 7 Applied Mathematics and Computation 7 European Journal of Mechanics. B. Fluids 7 Communications in Nonlinear Science and Numerical Simulation 6 International Journal of Heat and Mass Transfer 6 International Journal for Numerical Methods in Fluids 6 Flow, Turbulence and Combustion 6 Journal of Nonlinear Mathematical Physics 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Scientific Computing 4 Journal of Engineering Mathematics 4 Mathematics and Computers in Simulation 4 Journal of Turbulence 3 Journal of the Nigerian Mathematical Society 3 Physica D 3 Journal of Applied Mechanics and Technical Physics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 The ANZIAM Journal 3 International Journal of Applied and Computational Mathematics 2 Acta Mechanica 2 International Journal of Engineering Science 2 Journal of Mathematical Analysis and Applications 2 Physica A 2 Physics Letters. A 2 Physics Reports 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Applied Numerical Mathematics 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 Continuum Mechanics and Thermodynamics 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Combustion Theory and Modelling 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Acta Mechanica Sinica 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Geometry and Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Numerical Methods for Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal of Non-Equilibrium Thermodynamics 1 SIAM Review 1 Journal of Mathematical Sciences (New York) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the Egyptian Mathematical Society 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Complexity 1 International Journal of Computational Fluid Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Chaos 1 Computational Geosciences 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Doklady Physics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Matematicheskoe Modelirovanie 1 Entropy 1 Journal of Numerical Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Hybrid Systems 1 São Paulo Journal of Mathematical Sciences 1 Algorithms 1 Afrika Matematika 1 Arabian Journal for Science and Engineering 1 Communications in Applied and Industrial Mathematics 1 Journal of Mathematical Research with Applications 1 Communications in Mathematics and Statistics 1 Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 33 Fields 296 Fluid mechanics (76-XX) 134 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 52 Classical thermodynamics, heat transfer (80-XX) 43 Mechanics of deformable solids (74-XX) 8 Differential geometry (53-XX) 8 Probability theory and stochastic processes (60-XX) 6 Topological groups, Lie groups (22-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 Nonassociative rings and algebras (17-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year