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Student Ph.D. Dissertations

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Invited and Feature Articles

  1. Vasilyev, O.V., Yuen, D.A., and Paolucci, S., The Solution of PDEs Using Wavelets. Computers in Phys., 11(5),pp. 429-435, 1997.  To download figures press here.
  2. Vasilyev, O.V., Solving Multi-Dimensional Evolution Problems with Localized Structures Using Second Generation Wavelets.Int. J. Comp. Fluid Dyn., Special issue on High-Resolution Methods in Computational Fluid Dynamics, 17(2), pp. 151-168, 2003.
  3. Schneider, K. and Vasilyev, O.V., Wavelet Methods in Computational Fluid Dynamics, Ann. Rev. Fluid Mech., 42, pp. 473-503, 2010.

Articles in Refereed Journals

  1. Vasilyev, O.V., and Paolucci, S., Stability of Unstably Stratified Shear Flow in a Channel Under Non-Boussinesq Conditions. ACTA Mechanica, 112, pp. 37-58, 1995.
  2. Vasilyev, O.V., and Paolucci, S., and Sen, M., A Multilevel Wavelet Collocation Method for Solving Partial Differential Equations in a Finite Domain. J. Comp. Phys. 120, pp.33-47, 1995.
  3. Vasilyev, O.V., and Paolucci, S., A Dynamically Adaptive Multilevel Wavelet Collocation Method for Solving Partial Differential Equations in a Finite Domain. J. Comp. Phys., 125, pp. 498-512, 1996.
  4. Vasilyev, O.V., and Paolucci, S., A Fast Adaptive Wavelet Collocation Algorithm for Multi-Dimensional PDEs.  J. Comp. Phys., 138, pp. 16-56, 1997.
  5. Vasilyev, O.V., Yuen, D.A., and Podladchikov, Yu.Yu., Applicability of Wavelet Algorithm for Geophysical Viscoelastic Flow. Geophys. Res. Lett., 24(23), pp. 3097-3100, 1997.
  6. Morinishi, Y., Lund, T.S., Vasilyev, O.V., and Moin, P., Fully Conservative Higher Order Finite Difference Schemes for Incompressible Flow.  J. Comp. Phys., 143, pp. 90-124, 1998.
  7. Vasilyev, O.V., Podladchikov, Yu.Yu., and Yuen, D.A.,  Modeling of Compaction Driven Flow in Poro-Viscoelastic Medium Using Adaptive Wavelet Collocation Method. Geophys. Res. Lett., 25(17), pp. 3239-3242, 1998.
  8. Vasilyev, O.V., Lund, T.S., and Moin, P., A General Class of Commutative Filters for LES in Complex Geometries. J. Comp. Phys., 146, pp. 105-123, 1998.
  9. Vasilyev, O.V., High Order Finite Difference Schemes on Non-Uniform Meshes with Good Conservation Properties.  J. Comp. Phys., 157, pp. 746-761, 2000.
  10. Kardashov, V.R., Eppelbaum, L.V., and Vasilyev, O.V., The Role of Nonlinear Source Terms in Geophysics. Geophys. Res. Lett., 27(14), pp. 2069-2072, 2000.
  11. Vasilyev, O.V. and Bowman, C., Second Generation Wavelet Collocation Method for the Solution of Partial Differential Equations. J. Comp. Phys., 165, pp. 660-693, 2000.
  12. Winckelmans, G.S., Wray, A.A., Vasilyev, O.V., and Jeanmart, H., Explicit-Filtering Large-Eddy Simulation Using the Tensor-Diffusivity Model Supplemented by a Dynamic Smagorinsky Term.  Phys. Fluids, 13(5), pp. 1385-1403, 2001.
  13. Morinishi, Y. and Vasilyev, O.V., A Recommended Modification to the Dynamic Two-parameter Mixed Subgrid Scale Model for Large Eddy Simulation of Turbulent Flow.  Phys. Fluids, 13(11), pp. 3400-3410, 2001.
  14. Vasilyev, O.V., Podladchikov, Yu.Yu., and Yuen, D.A., Modeling of Viscoelastic Plume-Lithosphere Interaction Using Adaptive Multilevel Wavelet Collocation Method. Geophys. J. Int., 147(3), pp. 579-589, 2001.
  15. Vasilyev, O.V., Ten, A. A., and Yuen, D.A., Temperature-Dependent Viscous Gravity Currents with Shear Heating.  Phys. Fluids, 13(12), pp. 3664-3674, 2001.
  16. De Stefano, G. and Vasilyev, O.V., Sharp Cut-Off vs. Smooth Filtering in LES.  Physics of Fluids, 14(1), pp. 362-369, 2002.
  17. Marsden, A.L., Vasilyev, O.V., and Moin, P. Construction of Commutative Filters for LES on Unstructured Meshes. J. Comp. Phys., 175, pp. 584-603, 2002.
  18. Morinishi, Y. and Vasilyev, O.V., Vector Level Identity for Dynamic Subgrid Scale Modeling in Large Eddy Simulation. Physics of Fluids, 14(10), pp. 3616-3623, 2002.
  19. Vasilyev, O.V. and Kevlahan, N.K.-R., Hybrid Wavelet Collocation - Brinkman Penalization Method for Complex Geometry Flows. Int. J. Numer. Meth. in Fluids, 40, pp. 531-538, 2002.
  20. Haselbacher, A. and Vasilyev, O.V., Commutative Discrete Filtering on Unstructured Grids Based on Least-Squares Techniques. J. Comp. Physics, 187(1), pp. 197-211, 2003.
  21. Vasilyev, O.V. and Goldstein, D.E., Local Spectrum of Commutation Error in Large Eddy Simulations. Physics of Fluids, 16(2), pp. 470-473, 2004.
  22. Goldstein, D.E. and Vasilyev, O.V., Stochastic Coherent Adaptive Large Eddy Simulation Method. Physics of Fluids, 16(7), pp. 2497-2513, 2004.
  23. Morinishi, Y., Vasilyev, O.V., and Ogi, T., Fully Conservative Finite Difference Scheme in Cylindrical Coordinates for Incompressible Flow Simulations. Journal of Computational Physics, 197(2), pp. 686-710, 2004.
  24. Vasilyev, O.V., Gerya, T.V, and Yuen, D.A., The Application of Multidimensional Wavelets to Unveiling Multi-Phase Diagrams and in Situ Physical Properties of Rocks. Earth and Planetary Science Letters, 223(1-2), pp. 49-64, 2004.
  25. Yuen, D.A., Erlebacher, G., Vasilyev, O.V., Goldstein, D.E., and Fuentes, M., Role of Wavelets in the Physical and Statistical Modeling of Complex Geological Processes. Pure and Applied Geophysics, 161, pp., 2231-2244, 2004.
  26. De Stefano, G. and Vasilyev, O.V., Perfect Modeling Framework for Dynamic SGS Model Testing in Large Eddy Simulation.  Theoretical and Computational Fluid Dynamics, 18(1), pp., 27-41, 2004.
  27. Kevlahan, N.K.-R. and Vasilyev, O.V., An adaptive Wavelet Collocation Method for Fluid-Structure Interaction, SIAM Journal on Scientific Computing, 26(6), pp. 1894-1915, 2005.
  28. De Stefano, G., Goldstein, D.E., and Vasilyev, O.V., On the Role of Sub-grid Scale Coherent Modes in Large Eddy Simulation. Journal of Fluid Mechanics, 525, pp. 263-274, 2005.
  29. Vasilyev, O.V. and Kevlahan, N.K.-R., An Adaptive Multilevel Wavelet Collocation Method for Elliptic Problems. Journal of Computational Physics, 206(2), pp. 412-431, 2005.
  30. De Stefano, G., Vasilyev, O.V., and Goldstein, D.E., A-priori dynamic test for deterministic/stochastic modeling in large-eddy simulation of turbulent flow, Computer Physics Communications, 169, pp. 210-213, 2005.
  31. Goldstein, D.E., Vasilyev, O.V., and Kevlahan, N.K.-R., CVS and SCALES simulation of 3D isotropic turbulence, Journal of Turbulence, 6(37), pp. 1-20, 2005.
  32. Alam, J.M., Kevlahan, N.K.-R., and Vasilyev, O.V., Simultaneous space--time adaptive wavelet solution of nonlinear partial differential equations, Journal of Computational Physics, 214(2), pp. 829-857, 2006.
  33. Kevlahan, N.K.-R., Alam, J.M., and Vasilyev, O.V., Scaling of space-time modes with Reynolds number in two-dimensional turbulence, Journal of Fluid Mechanics, 570, pp. 217 – 226, 2007.
  34. Liu, Q. and Vasilyev, O.V., Brinkman Penalization Method for Compressible Flows in Complex Geometries,Journal of Computational Physics, 227(2), pp. 946–966, 2007.
  35. Vasilyev, O.V., De Stefano, G., Goldstein, D.E., and Kevlahan, N.K.-R., Lagrangian dynamic SGS model for SCALES of isotropic turbulence, Journal of Turbulence, 9(11), pp. 1-14, 2008.
  36. De Stefano, G., Vasilyev, O.V., and Goldstein, D.E., Localized Dynamic Kinetic Energy-based Models for Stochastic Coherent Adaptive Large Eddy Simulation, Physics of Fluids, 20(4), pp. 045102.1-045102.14, 2008.
  37. Regele, J.D. and Vasilyev, O.V., An Adaptive Wavelet-Collocation Method for Shock Computations, International Journal of Computational Fluid Dynamics, 23(7), pp. 503-518, 2009.
  38. Ma, J., Hussaini, M.Y., Vasilyev, O.V., and Le Dimet, F.-X., Multiscale Geometric Analysis of Turbulence by Curvelets, Physics of Fluids, 21(7), pp. 075104.1-075104.19, 2009.
  39. Fujinoki, K. and Vasilyev, O.V., Triangular Wavelets: An Isotropic Image Representation with Hexagonal Symmetry, EURASIP Journal on Image and Video Processing, Vol. 2009, Article ID 248581, 16 pages, 2009.
  40. Liu, Q. and Vasilyev, O.V., Nonreflecting Boundary Conditions Based on Nonlinear Multidimensional Characteristics, Int. J. Num. Meth. Fluids, 62(1), pp. 24–55, 2010.
  41. De Stefano, G. and Vasilyev, O.V., Stochastic coherent adaptive large eddy simulation of forced isotropic turbulence, Journal of Fluid Mechanics, 646, pp. 453 – 470, 2010.
  42. Reckinger, S.J., Livescu, D., and Vasilyev, O.V., Adaptive wavelet collocation method simulations of Rayleigh–Taylor instability, Physica Scripta, T142, 014064 (6pp), 2010.
  43. Gazzola, M., Vasilyev, O.V., and Koumoutsakos, P., Shape optimization for drag reduction in linked bodies using evolution strategies, Computers and Structures, 89, pp. 1224–1231, 2011.
  44. Regele, J.D., Kassoy, D.R., and Vasilyev, O.V., Effects of High Activation Energies on Acoustic Timescale Detonation Initiation, Combustion Theory and Modelling, DOI:10.1080/13647830.2011.647090, 2012.
  45. De Stefano, G. and Vasilyev, O.V., A Fully Adaptive Wavelet-Based Approach to Homogeneous Turbulence Simulation, Journal of Fluid Mechanics, DOI:10.1017/JFM.2012.6, pp.1-24, 2012.
 

Invited Conference and Symposium Papers

  1. Vasilyev, O.V., Computational Constrains on Large Eddy Simulation of Inhomogeneous Turbulent Complex Geometry Flows.  In Proceedings of Third AFOSR International Conference on DNS/LES, Edited by C. Liu et al., Greyden Press, Columbus, pp. 93-104, 2001.

Conference and Symposium Papers

  1. Paolucci, S., Suslov S.A., and Vasilyev, O.V., Stability of Mixed Convection Flow in a Differentially Heated Vertical Channel with Large Temperature Differences. In Fundamentals of Mixed Convection HTD-274, pp. 33-40, Edited by Chu, T.Y. and Chen, T.S., ASME, New York, 1994.
  2. Vasilyev, O.V., and Paolucci, S., Thermoacoustic Wave Propagation Modeling Using a Dynamically Adaptive Wavelet Collocation Method. In Proceedings of the ASME Heat Transfer Division, HTD-335, Volume 4, pp. 47-54, Edited by D.W. Pepper et al., ASME, 1996.
  3. Kevlahan, N.K.-R., Vasilyev, O.V., and Cherhabili, A., An Adaptive Wavelet Method for Turbulence in Complex Geometries. In Proceedings of the 16th IMACS World Congress 2000, 411-39.pdf, Edited by M. Deville and R. Owens, IMACS, 2000.
  4. Vasilyev, O.V. and Kevlahan, N.K.-R.,  Hybrid Wavelet Collocation -Brinkman Penalization Method for Complex Geometry Flows. In M.J. Baines, editor, Numerical Methods for Fluid Dynamics VII, ICFD, Oxford, University Computing Laboratory, pp. 509-515, 2001.
  5. Kevlahan, N.K.-R. and Vasilyev, O.V. An adaptive wavelet method for fluid-structure interaction.  In Direct and Large-Eddy Simulation Workshop 4: University of Twente, ed. B. J. Geurts, R. Friedrich and O. Metais, pp. 253-260, 2001.
  6. De Stefano, G. and Vasilyev, O.V., A study of the effect of smooth filtering in LES. In Proceedings of Third AFOSR International Conference on DNS/LES, Edited by C. Liu et al., Greyden Press, Columbus, pp. 247-254, 2001.
  7. Kevlahan, N.K.-R.,Vasilyev, O.V., Goldstein, D.E., and Jay, A., A three-dimensional adaptive wavelet method for fluid-structure interaction. In Proceedings of Direct and Large-Eddy Simulation Workshop 5, Technical University of Munich, Germany, 2003.
  8. Goldstein, D.E., Vasilyev, O.V., and Kevlahan, N.K.-R., Feasibility Study of an Adaptive Large Eddy Simulation Method. AIAA Paper 2003-3551, 2003.
  9. De Stefano, G., Vasilyev, O.V., Goldstein, D.E., A-priori dynamic test for deterministic/stochastic modelling in LES of turbulent flow, In Proceedings of Conference on Computational Physics, Genoa, Italy, 2004.
  10. Lagumbay, R.S., Vasilyev, O.V., Haselbacher, A., and Wang, J., Numerical Simulation of a High Pressure Supersonic Multiphase Jet Flow Through a Gaseous Media, In Proceedings of the 16th International Mechanical Engineering Congress and Exposition, ASME, vol. 3, IMECE2004-61008, 2004.
  11. De Stefano, G., Vasilyev, O.V., Goldstein, D.E., and Kevlahan, N.K.-R., Towards Lagrangian dynamic SGS model for SCALES of isotropic turbulence, In Direct and Large-Eddy Simulation Workshop VI, Proceedings of the sixth international ERCOFTAC workshop on direct and large-eddy simulations, pp. 175-182, Edts. E. Lamballais, R. Friedrich, B. J. Geurts, and O. Metais, Springer, 2006.
  12. Lagumbay, R.S., Vasilyev, O.V., Haselbacher, A., and Wang, J., Numerical Simulation of a Supersonic Three-Phase Cavitating Jet Flow Through a Gaseous Medium in Injection Nozzle, In Proceedings of 2005 ASME International Mechanical Engineering Congress and Exposition, ASME, IMECE2005-82948, 2005.
  13. Liu, Q. and Vasilyev, O.V., Hybrid Adaptive Wavelet Collocation-Brinkman Penalization Method for DNS and URANS Simulations of Compressible Flow around Bluff Bodies, AIAA Paper 2006-3206, 2006.
  14. Sakakibara, S. and  Vasilyev, O.V., Construction of Triangular Biorthogonal Wavelet Filters for Isotropic Image Processing, In Proceedings of 14th European Signal Processing Conference, Florence, Italy, 2006.
  15. Kassoy, D., Regele, J.D. and Vasilyev, O.V., Detonation Initiation on the Microsecond Time Scale: Comparative One and Two Dimensional DDT Results Obtained from Adaptive Wavelet-Collocation Numerical Methods, AIAA Paper 2007-986, 2007.
  16. Regele, J.D., Kassoy, D., and Vasilyev, O.V., Numerical Modeling of Acoustic Timescale Detonation Initiation, AIAA Paper 2008-1037, 2008.
  17. De Stefano, G. and Vasilyev, O.V, Stochastic Coherent Adaptive Large-Eddy Simulation with Explicit Filtering, In Proceedings of the Workshop on Quality and Reliability of Large-Eddy Simulations II, Pisa, Italy, 2009.
  18. De Stefano, G. and Vasilyev, O.V, Stochastic Coherent Adaptive Large Eddy Simulation of Forced Isotropic Turbulence, In Direct and Large-Eddy Simulation VII, Proceedings of the Seventh International ERCOFTAC Workshop on Direct and Large-Eddy Simulations, pp. 281-286, Edts. V. Armenio, B. Geurts, and J. Frohlich, Springer, 2010.
  19. Vasilyev, O.V. and De Stefano, G., Progress in the Development of Stochastic Coherent Adaptive LES Methodology, In Direct and Large-Eddy Simulation VII, Proceedings of the Seventh International ERCOFTAC Workshop on Direct and Large-Eddy Simulations, pp. 303-307, Edts. V. Armenio, B. Geurts, and J. Frohlich, Springer, 2010.
  20. De Stefano, G. and Vasilyev, O.V., Towards Wavelet-based Adaptive Numerical Simulation of Turbulent Flow past Bluff-Bodies, In Proceedings of the 5th International Conference on Vortex Flow and Vortex Methods, Caserta, Italy, ISBN/ISSN: 978-88-905218-6-7, 2010.
  21. Nejadmalayeri, A.R., Vasilyev, O.V., Vezolainen, A., and De Stefano, G., Spatially Variable Thresholding for Stochastic Coherent Adaptive LES, In Direct and Large-Eddy Simulation VIII, Proceedings of the Eighth International ERCOFTAC Workshop on Direct and Large-Eddy Simulations, pp. 95-100, Edts. H. Kuerten, B. Geurts, V. Armenio, and J. Frohlich, Springer, 2011.
  22. De Stefano, G. and Vasilyev, O.V., Stochastic Coherent Adaptive LES with Time-Dependent Thresholding, In Direct and Large-Eddy Simulation VIII, Proceedings of the Eighth International ERCOFTAC Workshop on Direct and Large-Eddy Simulations, pp. 101-106, Edts. H. Kuerten, B. Geurts, V. Armenio, and J. Frohlich, Springer, 2011.
  23. Regele, J.D., Kassoy, D., and Vasilyev, O.V., Acoustic Timescale Detonation Initiation in 2-D and its Relationship with the 1-D Description, In: Proceedings of the 23rd International Colloquium on the Dynamics of Explosions and Reactive Systems, Irvine, CA 2011.

Non-Refereed Articles

  1. Vasilyev, O.V. and Lund, T.S., A General Theory of Discrete Filtering for LES in Complex Geometry. In Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 67-82, 1997.
  2. Winckelmans, G.S., Wray, A.A., and Vasilyev, O.V., Testing of a new mixed model for LES: the Leonard model supplemented by a dynamic Smagorinsky term. In Proceedings of the 1998 Summer Program, Center for Turbulence Research, NASA  Ames/Stanford Univ., pp. 367-388, 1998.
  3. Cottet, G.-H. and Vasilyev, O.V., Comparison of dynamic Smagorinsky and anisotropic subgrid-scale models. In Proceedings of the 1998 Summer Program, Center for Turbulence Research, NASA  Ames/Stanford Univ., pp. 389-397, 1998.
  4. Vasilyev, O.V. and Bushe, W.K., On the use of a dynamically adaptive wavelet collocation algorithm in  DNS of non-premixed turbulent combustion. In Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 65-81, 1998.
  5. Morinishi, Y.  and Vasilyev, O.V., Subgrid scale modeling taking the numerical error into consideration. In Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 237-253, 1998.
  6. Vasilyev, O.V., On the construction of high order finite difference schemes on non-uniform meshes with good conservation properties. In Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 311-324, 1998.
  7. Marsden, A.L. and Vasilyev, O.V., Commutative Filters for LES on Unstructured Meshes. In Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 382-402, 1999.
  8. Goldstein, D.A., Vasilyev, O.V., Wray, A.A., and Rogallo, R.S. Evaluation of The Use of Second Generation Wavelets in the Coherent Vortex Simulation Approach. In Proceedings of the 2000 Summer Program, Center for Turbulence Research, NASA  Ames/Stanford Univ., pp. 293-304, 2000.
  9. Marsden, A.L., Vasilyev, O.V., and Moin, P. Construction of Commutative Filters for LES on Unstructured Meshes. In Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 169-182, 2000.
  10. Goldstein, D.E., Vasilyev, O.V., and Kevlahan, N.K.-R., Adaptive LES of 3D decaying isotropic turbulence, In Proceedings of the 2004 Summer Program, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 111-122, 2004.
  11. Moureau, V.R., Vasilyev, O.V., Angelberger, C. and Poinsot, T.J. Commutation errors in Large Eddy Simulation on moving grids, Application to piston engines flows, In Proceedings of the 2004 Summer Program, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 157-168, 2004.
  12. Vasilyev, O.V., Goldstein, D. E., De Stefano, G., Bodony, D., You, G., and Shunn, L., Assessment of local dynamic subgrid-scale models for Stochastic Coherent Adaptive Large Eddy Simulation, Proceedings of the 2006 Summer Program, Center for Turbulence Research, NASA Ames/Stanford Univ., pp. 139-150, 2006.

Student PhD Dissertations

 
  1. Goldstein, Daniel E., Stochastic Coherent Adaptive Large Eddy Simulation Method, Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, May 2004.
  2. Lagumbay, Randy S., Modeling and Simulation of Multiphase/Multicomponent Flows, Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, December 2006.
  3. Liu, Qianlong, An Integrated Modeling and Simulation Approach for Flow-Generated Sound Prediction, Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, December 2007.
  4. Regele, Jonathan D., Numerical Modeling of Acoustic Timescale Detonation Initiation Using the Adaptive Wavelet-Collocation Method, Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, February 2008.
  5. Reckinger, Shanon M., Adaptive Wavelet-Based Ocean Circulation Modeling, Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, July 2011.
  6. Nejadmalayeri, Alireza, Hierarchical Multiscale Adaptive Variable Fidelity
    Wavelet-based Turbulence Modeling with Lagrangian Spatially Variable Thresholding    ,  Ph.D. Thesis, Department of Mechanical Engineering, University of Colorado, Boulder, July 2012.
  
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Prof. Oleg V. Vasilyev
Engineering Center, ECME 214
Department of Mechanical Engineering
University of Colorado-Boulder, UCB 427
Boulder, CO 80309, USA
 
Email: Oleg.Vasilyev@colorado.edu
Phone: 303-492-4717
Fax: 303-492-3498
Lab Phone: 303-735-5810
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Last Updated: July 23, 2012