Browse by Authors

2012

Paeschke, E. and Marschalik, P. and Owinoh, A.Z. and Klein, R. (2012) Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear. Journal of Fluid Mechanics . (Submitted)

Rieper, F. and Achatz, U. and Klein, R. (2012) Validation of an extended non-linear WKB theory: 1D and 2D case. Journal of Fluid Mechanics . (Submitted)

2011

Ruprecht, D. and Klein, R. (2011) A Model for Nonlinear Interactions of Internal Gravity Waves with Saturated Regions. Meteorologische Zeitschrift, 20 (2). 243-252. (In Press)

Owinoh, A.Z. and Stevens, B. and Klein, R. (2011) Multiscale Asymptotics Analysis for the Mesoscale Dynamics of Cloud-Topped Boundary Layers. Journal of the Atmospheric Sciences, 68 (2). pp. 379-402. ISSN Online 1520-0469, Print 0022-4928

Klein, R. and Vater, S. and Paeschke, E. and Ruprecht, D. (2011) Multiple scales methods in meteorology. In: Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances. CISM International Centre for Mechanical Sciences, 523 . Springer Verlag, pp. 127-196. ISBN 978-3-7091-0407-1

Bresch, D. and Klein, R. and Lucas, C. (2011) Multiscale analyses for the Shallow Water equations. Computational Science and High Performance Computing IV, 115/2011 . pp. 149-164. ISSN 1612-2909 (Print) 1060-0824 (Online)

Münch, M. and Belaschk, H.C. and Klein, R. (2011) Numerische Simulation im Brandschutz - Zwischen Theorie und Praxis. In: Bauphysik-Kalender 2011. Ernst & Sohn Verlag für Architektur und technische Wissenschaften GmbH & Co. KG, Berlin, pp. 159-197. ISBN ISBN 978-3-433-02965-7

Audusse, E. and Klein, R. and Nguyen, D.D. and Vater, S. (2011) Preservation of the discrete geostrophic equilibrium in shallow water flows. In: Finite Volumes for Complex Applications VI - Problems& Perspectives, 6.6.-10.6. 2011, Prague, Czech Republic.

Vater, S. and Klein, R. and Knio, O.M. (2011) A Scale-selective Multilevel Method for Long-Wave Linear Acoustics. Acta Geophysica, 59 (6). pp. 1076-1108.

Vater, S. and Klein, R. and Knio, O.M. (2011) Scale-selective time integration for Long-Wave Linear Acoustics. In: Finite Volumes for Complex Applications VI - Problems & Perspectives, 6.6.-10.6. 2011, Prague, Czech Republic.

2010

Achatz, U. and Klein, R. and Senf, F. (2010) Gravity waves, scale asymptotics, and the pseudo-incompressible equations. Journal of Fluid Mechanics, 663 . pp. 120-147.

Ruprecht, D. and Klein, R. and Majda, A. J. (2010) Modulation of Internal Gravity Waves in a Multiscale Model for Deep Convection on Mesoscales. Journal.of the Atmospheric Sciences, 67 (8). pp. 2504-2519. ISSN Online 1520-0469, Print 0022-4928

Klein, R. (2010) On the regime of validity of sound-proof model equations for atmospheric flows. In: ECMWF, Non-hydrostatic Modelling Workshop, November 2010, Reading UK. (Unpublished)

Klein, R. and Achatz, U. and Bresch, D. and Knio, O.M. and Smolarkiewicz, P. (2010) Regime of Validity of Sound-Proof Atmospheric Flow Models. Journal of the Atmospheric Sciences, 67 (10). 3226-3237. ISSN Online: 1520-0469 Print: 0022-4928

Klein, R. (2010) Scale-Dependent Asymptotic Models for Atmospheric Flows. Annual Review of Fluid Mechanics, 42 . pp. 249-274.

Moeck, J. and Scharfenberg , C. and Paschereit, O. C. and Klein, R. (2010) A zero-Mach solver and reduced order acoustic representations for modeling and control of combustion instabilities. Active Flow Control II, Notes on Numerical Fluid Mechanics and Multidisciplinary Design,, 108/2010 . pp. 291-306. ISSN 978-3-642-11734-3

2009

Klein, R. and Bates, K.R. and Nikiforakis, N. (2009) Well Balanced Compressible Cut-Cell Simulation of Atmospheric Flow. Philosophical Transaction of the Royal Society, 367 (1907). 4559-4575 . ISSN Online: 1471-2962

Oevermann, M. and Scharfenberg , C. and Klein, R. (2009) A sharp interface finite volume method for elliptic equations on Cartesian grids. Journal of Computational Physics, 228 (14). pp. 5184-5206.

Klein, R. (2009) Asymptotics, structure, and integration of sound-proof atmospheric flow equations. Theoretical and Computational Fluid Dynamics, 23 (3). pp. 161-195. ISSN 0935-4964 (Print) 1432-2250 (Online)

Audusse, E. and Klein, R. and Owinoh, A.Z. (2009) Conservative Discretization of Coriolis Force. Journal of Computational Physics, 228 (8). pp. 2934-2950.

von Larcher, T. and Klein, R. (2009) Multiple Scales in Fluid Dynamics and Meteorology - The DFG Priority Programme 1276 MetStröm. In: Newton Institute Scoping Meeting on Multi-scale Modelling of the Atmosphere and Ocean , 25-26 March 2009, University of Reading, UK.

Klein, R. and Aigner, H. (Hrsg) and Behrends, E. (Hrsg) (2009) Mathematik im Klima des globalen Wandels. In: Alles Mathematik. 3, überarb. Aufl. . Vieweg+Teubner, p. 241. ISBN 978-3-8348-0416-7

Ruprecht, D. and Klein, R. and Majda, A. J. (2009) Moisture - Gravity Wave Interactions in a Multiscale Environment. Technical Report. Konrad Zuse Zentrum Berlin.

Dolaptchiev, S. and Klein, R. (2009) Planetary geostrophic equations for the atmosphere with evolution of the barotropic flow. Dynamics of Atmospheres and Oceans Volume, 46 (1-4). pp. 46-61.

Vater, S. and Klein, R. (2009) Stability of a Cartesian grid projection method for zero Froude number shallow water flows. Numerische Mathematik, 113 (1). pp. 123-161.

Franzke, Ch. and Horenko, I. and Majda, A. J. and Klein, R. (2009) Systematic Metastable Atmospheric Regime Identification in an AGCM. J. Atm. Sci., 66 (7). pp. 1997-2012.

Ionescu, C. and Klein, R.J.T. and Hinkel, J., and Kavi Kumar, K.S., and Klein, R. (2009) Towards a formal framework for vulnerability to climate change. Environmental Modeling and Assessment, 14 (1). pp. 1-16. ISSN 1420-2026 (Print) 1573-2967 (Online)

Moeck, J. and Oevermann, M. and Klein, R. and Paschereit, O. C. and Schmidt, H. (2009) A two-way coupling for modeling thermoacoustic instabilities in a flat flame Rijke tube. Proceedings of the Combustion Institute, 32 (1). pp. 1199-1207.

2008

Carqué, G. and Schmidt, H. and Stevens, B. and Klein, R. (2008) Plausibility Check of an Asymptotic Column Model for Deep Convective Clouds. ZIB-Report, 08 (44).

Münch, M. and Klein, R. (2008) Critical numerical aspects for field model applications. EUSAS Journal (4). pp. 41-54.

Carqué, G. and Owinoh, A.Z. and Klein, R. and Majda, A. J. (2008) Asymptotic Scale Analysis of Precipitating Clouds. ZIB-Report , 08-03 . ISSN 1438-0064

Münch, M. and Klein, R. (2008) Anforderungen an numerische Berechnungen der Brand- und Rauchausbreitung im Vorbeugenden Brandschutz. vfdb-Zeitschrift Forschung, Technik und Management im Brandschutz, Jg. 57 (3). pp. 145-151. ISSN 0042-1804

Horenko, I. and Klein, R. and Dolaptchiev, S. and Schütte, Ch. (2008) Automated Generation of Reduced Stochastic Weather Models I: Simultaneous Dimension and Model reduction for Time Series Analysis. Mult. Mod. Sim., 6 (4). pp. 1125-1145.

Münch, M. and Klein, R. (2008) Critical numerical aspects for field model applications. In: EUSAS conference on "Fire Safety Engineering and Smoke Control in Buildings", January 22-23, 2007, Vienna, Austria.

Warren, R. and de la Nava Santos, S. and Arnell, N.W. and Bane, M. and Barker, T. and Barton, C. and Ford, R. and Füssel, H.-M. and Hankin, Robin K.S. and Klein, R. and Linstead, C. and Kohlera, J. and Mitchella, T.D. and Osborna, T.J. and Pan, H. and Raper, S.C.B. and Riley, G. and Schellnhuber, H.J. and Winne, S. and Anderson, D. (2008) Development and illustrative outputs of the Community Integrated Assessment System (CIAS), a multi-institutional modular integrated assessment approach for modelling climate change. Environmental Modelling & Software, 23 (5). 592-610 .

Moeck, J. and Oevermann, M. and Paschereit, O. C. and Klein, R. and Schmidt, H. (2008) Experimental and Numerical investigation of thermoacoustical instabilities in a flat flame burner. In: 32nd International Symposium on Combustion, August 3-8, 2008, Montreal, Canada. (Submitted)

Kadioglu, S.Y. and Minion, M.L. and Klein, R. (2008) A Fourth-Order Auxiliary Variable Projection Method for Zero-Mach Number Gas Dynamics. Journal of Computational Physics , 227 (3). 2012-2043 .

Horenko, I. and Dolaptchiev, S. and Eliseev, A. and Mokhov, I. and Klein, R. (2008) Metastable Decomposition of High-Dimensional Meteorological Data with Gaps. Journal of the Atmospheric Sciences, 65 (11). pp. 3479-3496.

Petoukhov, V. and Eliseev, A. and Klein, R. and Oesterle, H. (2008) On the statistics of the free-troposphere synoptic component. Part I: An evaluation of skewnesses and estimation of the third-order moments contribution to the synoptic-scale dynamics and meridional fluxes of heat and humidity. Tellus, 60 (1). pp. 11-31.

Klein, R. (2008) An Unified Approach to Meteorological Modelling Based on Multiple-Scales Asymptotics. Advances in Geosciences, 15 . pp. 23-33.

Münch, M. and Gebauer, J. and Klein, R. (2008) Verification and Validation of CFD Models for Smoke Spreading Predictions. In: 9th Int. IAFSS Symposium , 21 - 26. Sept. 2008, Karlsruhe.

2007

Moeck, J. and Schmidt, H. and Oevermann, M. and Paschereit, O. C. and Klein, R. (2007) An asymptotically motivated hyrodynamic-acoustic two-way coupling for modeling thermoacoustic instabilities in a Rijke tube. In: Fourteenth Intl. Congress on Sound and Vibration (ICSV14), , 9-12 July 2007, Cairns, Australia, (2007).

Dolaptchiev, S. and Klein, R. (2007) Model Equations For Atmospheric Motions on Planetary Scales. In: European Geosciences Union, Vienna.

Schmidt, H. and Veynante, D. and Klein, R. (2007) A Modular Two Scale Capturing/Tracking Scheme for Turbulent Premixed Flames. In: 21th Intl. Colloquium on the Dynamics of Explosions and Reactive Systems, 2007, Poitiers.

Ruprecht, D. and Majda, A. J. and Klein, R. (2007) A multiscale model for the interaction of bulk microscale hot towers with convective scale motions. In: European Geosciences Union, General Assembly 2007, 15 – 20 April 2007, Vienna.

Vater, S. and Klein, R. (2007) Stability of a Cartesian grid projection method for zero Froude number shallow water flows. Technical Report. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB).

Klein, R. (2007) A Unified Approach to Meteorological Modelling based on Multiple Scales Asymptotics. In: European Geosciences Union, Vienna.

Ting, L. and Klein, R. and Knio, O.M. (2007) Vortex Dominated Flows: Analysis and Computation for Multiple Scales. In: Series in Applied Mathematical Sciences. Springer Verlag. ISBN 978-3-540-68581-4

2006

Oevermann, M. and Klein, R. (2006) A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces. Journal of Computational Physics, 219 (2). 749-769 .

Klein, R. (2006) Theoretical Developments in Tropical Meteorology. In: Theoretical and Computational Fluid Dynamics. Springer Verlag.

Oevermann, M. and Klein, R. (2006) A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces. JCP .

Schmidt, H. and Klein, R. (2006) Extension of a front capturing/tracking scheme for premixed flames to a novel type of two scale turbulence modeling. In: Proc. SIAM Conference on Numerical Combustion, April 23 - 26, 2006, Granada, Spain.

Schmidt, H. and Oevermann, M. and Münch, M. and Klein, R. (2006) Flame Front Capturing/Tracking Methods for Zero Mach Number Combustion. In: 31th Int. Symp. on Combustion, Aug 6-11, 2006, The Combustion Institute, Heidelberg.

Schmidt, H. and Oevermann, M. and Münch, M. and Klein, R. (2006) Flame front capturing/tracking schemes for compressible and incompressible reactive flow. TU Delft, The Netherlands , Proceedings of the European Conference on Computational Fluid Dynamics (ECCOMAS CFD). ISBN 90-9020970-0

Münch, M. and Schmidt, H. and Oevermann, M. and Klein, R. (2006) Numerical Investigation of the Baroclinic Torque in the Context of Smoke Spread. In: 31th Int. Symp. on Combustion, Aug. 6-11, 2006, The Combustion Institute, Heidelberg.

Vater, S. and Klein, R. (2006) Stability of a Projection Method for the Zero Froude Number Shallow Water Equations. In: Eleventh International Conference on Hyperbolic Problems Theory, Numerics, Applications, July 17-21, 2006, École Normale Supérieure de Lyon, France.

Klein, R. and Majda, A. J. (2006) Systematic Multiscale Models for Deep Convection on Mesoscales. Theoretical and Computational Fluid Dynamics, 20 (5-6). pp. 525-551. ISSN 0935-4964 (Print) 1432-2250 (Online)

Schmidt, H. and Münch, M. and Klein, R. and Oevermann, M. (2006) A Zero Mach Number Projection Method Coupled To External Acoustics. In: 77th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik e.V., March 27-31, 2006, TU-Berlin.

2005

Owinoh, A.Z. and Hunt, J. and Orr, A. and Clark, P. and Klein, R. and Fernando, H. and Nieuwstadt, F. (2005) Effects Of Changing Surface Heat Flux On Atmospheric Boundary-Layer Flow Over Flat Terrain. Boundary Layer Meterology, 116 (2). pp. 331-361.

Schmidt, H. and Klein, R. (2005) Flexible flame structure modelling in a flame front tracking scheme. Analysis and Numerics for Conservation Laws . pp. 405-427. ISSN 978-3-540-24834-7 (Print) 978-3-540-27907-5 (Online)

Klein, R. and Schmidt, H. and Carqué, G. and Münch, M. and Oevermann, M. (2005) Mehrskalen-asymptotische Verfahren zur Kontrolle thermoakustischer Prozesse in Brennkammern. In: SFB 557, Teilprojekt B8, 17. März 2005, Berlin. (Unpublished)

Klein, R. (2005) Multiple spacial scales in engineering and atmospheric low Mach number flows. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 39 . pp. 537-559. ISSN 0764-583X

Mikusky, E. and Owinoh, A.Z. and Klein, R. (2005) On the influence of diabatic effects on the motion of 3D-mesoscale vortices within a baroclinic shear flow. In: Third MIT Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005.

2004

Klein, R. (2004) An applied mathematical view of meteorological modeling. Applied Mathematics Entering the 21st century; Invited talks from the ICIAM 2003 Congress., 116 . pp. 177-219.

Helling, Ch. and Klein, R. and Woitke, P. and Nowak, U. and Sedlmayr, E. (2004) Dust in brown dwarfs. IV. Dust formation and driven turbulence on mesoscopic scales. Astronomy and astrophysics, 423 (2). pp. 657-675. ISSN 0004-6361

Audusse, E. and Bouchut, F. and Bristeau, M.O. and Klein, R. and Perthame, B. (2004) A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Journal of Scientific Computation, 25 (6). pp. 2050-2065.

Klein, R. and Mikusky, E. and Owinoh, A.Z. (2004) Multiple Scales Asymptotics for Atmospheric Flows. Proceedings of the 4th European Conference on Mathematics .

Botta, N. and Klein, R. and Langenberg, S. and Lützenkirchen, S. (2004) Well Balanced Finite Volume Methods for Nearly Hydrostatic Flows. Journal of Computational Physics, 196 (2). 539-565 .

2003

Munz , C.-D. and Roller , S. and Klein, R. and Geratz, K. J. (2003) The extension of incompressible flow solvers to the weakly compressible regime. Computers & fluids , 32 (2). 173-196 (31 ref.). ISSN 0045-7930

Schmidt, H. and Klein, R. (2003) A generalized level-set/in-cell-reconstruction method for accelerating turbulent premixed flames. Combustion Theory and Modelling, 7 (2). 243-267(25).

Majda, A.J. and Klein, R. (2003) Systematic Multiscale Models for the Tropics. Journal of Atmospheric Sciences, 60 . pp. 393-408.

2002

Klein, R. (2002) Numerical Methods for High and Low Speed Combustion Simulations. Numerical Methods for High and Low Speed Combustion Simulations. PDE's in models of superfluidity, superconductivity and reactive flows, Nato Science Series C: Mathematical and Physical Sciences (569). pp. 491-506.

2001

Klein, R. and Botta, N. and Schneider, T. and Munz, C.D. and Roller, S. and Meister, A. and Hoffmann, L. and Sonar, T. (2001) Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Journal of Engineering Mathematics, 39 (1). pp. 261-343. ISSN 0022-0833 (Print) 1573-2703 (Online)

Klein, R. and Botta, N. and Owinoh, A.Z. (2001) Distinguished limits, multiple scales asymptotics, and numerics for atmospheric flows. In: 13th Conference on Atmospheric and Oceanic Fluid Dynamics, July 2001, American Meteorological Society, Breckenridge, Colorado.

Helling, Ch. and Oevermann, M. and Lüttke, M. J. H. and Klein, R. (2001) Dust in Brown Dwarfs I. Dust formation under turbulent conditions on microscopic scales. Astronomy & Astrophysics, - (), 376 . pp. 194-212.

Schmidt, H. and Klein, R. (2001) Towards a Generalized Level-Set/In-Cell Reconstruction Approach for Accelerating Turbulent Premixed Flames.

2000

Knio, O.M. and Klein, R. (2000) Improved Thin Tube Methods for Slender Vortex Simulations. Journal of Computational Physics, 162 (1). 68-82(15).

Klein, R. (2000) Asymptotic Analyses for Atmospheric Flows and the Construction of Asymptotically Adaptive Numerical Methods. ZAMM ·Zeitschrift für angewandte Mathematik und Mechanik , 80 (11-12). pp. 765-785. ISSN 0044-2267

Botta, N. and Klein, R. and Almgren, A. (2000) Asymptotic Analysis of a Dry Atmosphere. In: Proc. 3rd Europ. Conf. on Num. Math., Jyväskylä, Finland.

Klein, R. and Münch, M. (2000) Models and Criteria for Prediction of Deflagration to Detonation Transition (DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. Numerical Techniques , 9, Reihe Energietechnik / Energy Technology. . pp. 83-102.

Klein, R. and Rehm, W. (2000) Models and Criteria for Prediction of Deflagration-to- Detonation Transition (DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. Schriften des Forschungszentrums Jülich, Energy Technology Series, 9 . ISSN ISBN 3-89336-258-4

Breitung, W. and Chan, C. and Dorofeev, S.B. and Eder, A. and Gelfand, B.E. and Heitsch, M. and Klein, R. and Malliakos, A. and Shepherd, J.E. and Studer, E. and Thibault, P. (2000) State of Art Report on Flame Acceleration and DDT in Nuclear Reactor Safety. OECD .

1999

Reinecke , M. and Hillebrandt , W. and Niemeyer , J.C. and Klein, R. and Gröbl, A. (1999) A new model for deflagration fronts in reactive fluids. Astronomy and Astrophysics, 347 (1999A&A...347..724R). 724-733 . ISSN 0004-6361 (Print) 1432-0746 (Online)

Münch, M. and Schmidt, H. and Klein, R. (1999) Tracking Flame Fronts with Dynamic Internal Structure. Modelling of reaction fronts at the interface of mathematics physics and chemistry. Technical Report. Universite Claude Bernard, Lyon, France.

Klein, R. (1999) Numerics in Combustion. In: Introduction to Turbulent Combustion. Lecture Series . von Karman Institute for Fluid Dynamics, Brussels, Belgium.

Botta, N. and Klein, R. and Almgren, A. (1999) Dry Atmosphere Asymptotics. Technical Report. PIK Report, Summary Report No. 55.

Schneider, T. and Botta, N. and Geratz, K. J. and Klein, R. (1999) Extension of finite volume compressible flow solvers to multidimensional, variable density zero Mach number flows. J. Comput. Phys., 155 . pp. 248-286.

Klein, R. and Breitung, W. and Coe, I. and Grönig, H. and He, L. and Olivier, H. and Rehm, W. and Studer, E. and Vendel, J. (1999) Models and Criteria for Prediction of Deflagration-to-Detonation Transition(DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. In: Fission Safety (FISA 99), European Commission, 1999.

Worlikar, A.S. and Aniruddha, S. and Knio, O.M. and Klein, R. (1999) Numerical Study of the Effective Impedance of a Thermoacoustic Stack. Acta Acustica united with Acustica, 85 (4,). pp. 480-494. ISSN 1610-1928

Schneider, T. and Klein, R. (1999) Overcoming Mass Losses in Level-Set-Based Interface Tracking Schemes. In: 2nd International Conference on Finite Volume for Complexe Application, 1999.

1998

Berkenbosch, A. and Kaasschieter, E. and Klein, R. (1998) Detonation capturing for stiff combustion chemistry. Combustion Theory and Modelling, 2 (3). 313-348(36).

Worlikar, A.S. and Knio, O.M. and Klein, R. (1998) Numerical Simulation of a Thermoacoustic Refrigerator II. Stratified Flow around the Stack. Journal of Computational Physics, 144 (2). 299-324(26).

Knio, O.M. and Ting, L. and Klein, R. (1998) Interaction of a Slender Vortex Filament with a Rigid Sphere: Dynamics and far-field noise. J. Acoustical Soc. of America, 103 (1). 83 -98. ISSN 0001-4966 (print)

Klein, R. and Breitung, W. and Coe, I. and Grönig, H. and He, L. and Olivier, H. and Rehm, W. and Studer, E. and Vendel, J. (1998) Models and Criteria for Prediction of Deflagration-to-Detonation Transition(DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. In: Fission Safety (FISA 98), European Commission, 1998.

Klein, R. and Breitbach, H. and Terhoeven, P. and Munz, C.-D. and Roller, S. (1998) Numerical Techniques for Multi-Scale Weakly Compressible Reactive Flows. Technical Report. Vieweg, Numerical Flow Simulation I.

1997

Smiljanovski, V. and Moser, V. and Klein, R. (1997) A Capturing/Tracking Hybrid Scheme for Deflagration Discontinuities. Combustion Theory and Modelling, 1 (2). 183-215 .

Worlikar, A.S. and Knio, O.M. and Klein, R. (1997) Numerical Simulation of a Thermo-Acoustic Refrigerator. Vortex Flows and Related Numerical Methods II .

Worlikar, A.S. and Knio, O.M. and Klein, R. (1997) Numerical simulation of acoustically-generated temperature gradients in short thermoacoustics stacks: A validation study. In: 32nd National Heat Transfer Conference, Heat Transfer--Baltimore, 214, August 10-12, 1997, Baltimore.

1996

Klein, R. and Knio, O.M. and Ting, L. (1996) Representation of Core Dynamics in Slender Vortex Filament Simulations,. Physics of Fluids, 8 (9). 2415{-2425,.

1995

Klein, R. and Ting, L. (1995) Theoretical and Experimental Studies of Slender Vortex Filaments. Applied Mathematics Letters, 8 (2). pp. 45-50.

Klein, R. (1995) Analysis of Accelerating Detonation Using Large Activation Energy Asymptotics. Journal de physique. IV , 5 (4). pp. 443-457. ISSN 1155-4339

Klein, R. and Knio, O.M. (1995) Asymptotic Vorticity Structure and Numerical Simulation of Slender Vortex Filaments. Journal of Fluid Mechanics, 284 . pp. 275-321. ISSN 0022-1120

Klein, R. (1995) The Level-Set Approach to Premixed Turbulent Combustion in the Flamelet Regime: Theory and Numerical Implementation. Euroconference "Premixed Turbulent Combustion: Introduction to the State of the Art" .

Klein, R. (1995) Semi-Implicit Extension of a Godunov-Type Scheme Based on Low Mach Number Asymptotics I: One-dimensional Flow,. Journal of Computational Physics, 121 (2). pp. 213-237. ISSN 0021-9991

Klein, R. and Majda, A. J. and Damodaran, K. (1995) Simplied Equations for the Interaction of Nearly Parallel 3-D Vortex Filaments,. Journal of Fluid Mechanics, 288 . 201-248 . ISSN 0022-1120

1994

Smiljanovski, V. and Klein, R. (1994) Flame Front Tracking via in-Cell Reconstruction. In: Proceedings of 5th International Conference on Hyperbolic Systems, June 1994, SUNY Stony Brook.

Munz, C.-D. and Klein, R. (1994) The Multiple Pressure Variable Approach for the Numerical Approximation of Weakly Compressible Fluid Flow. In: Proc. Intl. Conf. on Numerical Methods for Fluid Flows, Prag, June 1994.

Klein, R. and Lange, K. and Willems, W. and Munz, C.-D. (1994) Semi-Implicit High Resolution Schemes for Low Mach Number Flows. In: Proceedings of 5th International Conference on Hyperbolic Systems, June 1994, SUNY Stony Brook.

Klein, R. and Breitbach, H. and Geratz, K. J. and Senger, W. (1994) Surface erosion by high-speed combustion waves. Symposium (International) on Combustion, 25 (1). 95-102 .

Bdzil, J.B. and Klein, R. (1994) Weakly Nonlinear Dynamics of Near-CJ Detonation Waves, Combustion in High-Speed Flows. Combustion in High-Speed Flows, J. Buckmaster et al. (eds), . pp. 513-540. ISSN 978-0-7923-2806-3 (ISBN)

Klein, R. (1994) Zur Dynamik schlanker Wirbel. PhD thesis, RWTH Aachen.

1993

Klein, R. and Stewart, D.S., (1993) The Relation between Curvature, Rate-State Dependence and Detonation Velocity. SIAM Journal on Applied Mathematics, 53 (5). 1401-1435 .

Klein, R. and Majda, A. J. (1993) An Asymptotic Theory for the Nonlinear Instability of Anti- Parallel Pairs of Vortex Filaments. Physics of Fluids A, 5 . pp. 369-379. ISSN 0899-8213

1992

Klein, R. and Majda, A. J. and McLaughlin, R.M. (1992) Asymptotic Equations for the Stretching of Vortex Filaments by a Background Flow Field. Physics of Fluids A, 4 . pp. 2271-2281. ISSN 0899-8213

Klein, R. and Ting, L. (1992) Vortex Filaments with Axial Core Structure Variation. Appl. Math. Lett., 5 . pp. 99-103.

1991

Ting, L. and Klein, R. (1991) Viscous Vortical Flows. In: Lecture Notes in Physics. Springer Verlag. ISBN 0387537139

Klein, R. and Majda, A. J. (1991) Self-Stretching of a Perturbed Vortex Filament I: The Asymptotic Equation for Deviations from a Straight Line. Physica D, 49 (3). pp. 323-352.

Klein, R. (1991) On the Dynamics of Weakly Curved Detonations. Institute for Mathematics and Its Applications, 35 . ISSN 0940-6573

Klein, R. (1991) On the Dynamics of Weakly Curved Detonations. IMA-Volumes in Mathematics and its Applications, 35 . ISSN 978-0-387-97583-2

1990

Klein, R. and Ting, L. (1990) Far field velocity potential induced by a rapidly decaying vorticity distribution. Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 41 (3). pp. 395-418. ISSN 0044-2275 (Print) 1420-9039 (Online)

Klein, R. and Munz , C.-D. and Schmidt, L. (1990) A Numerical Study of Interfacial Instabilities at High Mach Numbers. Notes on Numerical Fluid Mechanics, 29,, 29 . 242-251.

Maly, R.R. and Koenig, G. and Klein, R. and Peters, N. (1990) Theoretical and Experimental Investigation of Knock Induced Surface Destruction. SAE transactions, 99 (1), no3, pp. (1). 99-137 (62 ref.). ISSN 0096-736X

1988

Klein, R. and Peters, N. (1988) Cumulative Effects of Weak Pressure Waves During the Induction Period of a Thermal Explosion in a Closed Cylinder. J. Fluid Mech., 187 . pp. 197-230.

Klein, R. (1988) Detonation Initiation Due to Shock Wave-Boundary Interactions. Notes on Numerical Fluid Mechanics, 24 . 279-288..

Klein, R. (1988) Shock Initiated Ignition in an L-shaped Duct: Two Aspects of its Numerical Simulation. Notes on Numerical Fluid Mechanics, 20 . pp. 138-145.

Klein, R. (1988) Stoßinduzierte Zündung und der Übergang zur Detonation in engen Spalten. PhD thesis, RWTH Aachen.

1985

Klein, R. (1985) Kumulative Effekte aufgrund schwacher Druckwellen bei der Kompression eines reagierenden Gasgemisches. PhD thesis, RWTH Aachen.

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Klein, R. and Pauluis, O. Thermodynamic Consistency of a Pseudo-Incompressible Approximation for General Equations of State. Journal of the Atmospheric Sciences . (In Press)