Adaptive Wavelet Collocation Method (Applications):

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.
  2. 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., Yuen, D.A., and Podladchikov, Yu.Yu., Applicability of Wavelet Algorithm for Geophysical Viscoelastic Flow. Geophys. Res. Lett., 24(23), pp. 3097-3100, 1997.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. Reckinger, S.J., Livescu, D., and Vasilyev, O.V., Adaptive wavelet collocation method simulations of Rayleigh–Taylor instability, Physica Scripta, T142, 014064 (6pp), 2010.
  7. Regele, J.D., Kassoy, D.R., and Vasilyev, O.V., Effects of High Activation Energies on Acoustic Timescale Detonation Initiation, Combustion Theory and Modelling, 16(4), pp. 650–678, 2012.
  8. Alam, J.M., Kevlahan, N.K.-R., and Vasilyev, O.V., A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer, Numerical Heat Transfer, Part B, 61(3), pp. 147-170, 2012.
  9. Regele, J.D., Kassoy, D.R., Vezolainen, A., and Vasilyev, O.V., Indirect detonation initiation using acoustic timescale thermal power depositiong, Physics of Fluid s, 25, 091113,doi:10.1063/1.4820130, 2013.
  10. Nejadmalayeri, A., Vezolainen, A., and Vasilyev, O.V., Reynolds Number Scaling of CVS and SCALES, Physics of Fluids, 25, 110823, doi:10.1063/1.4825260, 2013.
  11. Reckinger, S.M., Vasilyev, O.V., and Fox-Kemper, B, Adaptive wavelet collocation method on the shallow water model, Journal of Computational Physics, 271, pp. 342-359, 2014.
  12. De Stefano, G. and Vasilyev, O.V., Wavelet-Based Adaptive Simulations of Three-Dimensional Flow Past a Square Cylinder, Journal of Fluid Mechanics, 748, pp. 433-456, 2014.
  13. Nejadmalayeri, A., Vezolainen, A., De Stefano, G., and Vasilyev, O.V., Fully adaptive turbulence simulations based on Lagrangian spatio-temporally varying wavelet thresholding, Journal of Fluid Mechanics, 749, pp. 794-817, 2014.
  14. De Stefano, G., Nejadmalayeri, A., and Vasilyev, O.V., Wall-Resolved Wavelet-Based Adaptive Large-Eddy Simulation of Bluff-Body Flows with Variable Thresholding, Journal of Fluid Mechanics, 788, pp. 303-336, 2016.
  15. Reckinger, S.J., Livescu, D., and Vasilyev, O.V., Comprehensive Numerical Methodology for Direct Numerical Simulations of Compressible Rayleigh-Taylor Instability, Journal of Computational Physics,, 2016.
  16. Regele, J.D., Kassoy, D.R., Aslani, M., and Vasilyev, O.V. Evolution of Detonation Formation Initiated by a Spatially Distributed, Transient Energy Source, Journal of Fluid Mechanics, 802, pp. 305-332, 2016.
  17. De Stefano, G., Vasilyev, O.V., and Brown-Dymkoski, E., Wavelet-based adaptive unsteady RANS modeling of external flows, Journal of Fluid Mechanics, 837, pp. 765-787, 2018.
  18. Ge, X., Vasilyev, O.V., and Hussaini, M.Y., Wavelet-based adaptive delayed detached eddy simulations for wall-bounded compressible turbulent flows, Journal of Fluid Mechanics, 873, pp. 1116-1157, 2019.
  19. Ge, X., Vasilyev, O.V., De Stefano, G., and Hussaini, M.Y., Wavelet-Based Adaptive Unsteady Reynolds-Averaged Navier-Stokes Simulations of Wall-Bounded Compressible Turbulent Flows, AIAA Journal, 58(4), pp. 1529-1549, 2020.
  20. Ge, X., Vasilyev, O.V., and Hussaini, M.Y., Wavelet-based adaptive wall-modeled large eddy simulation method for compressible turbulent flows. Phys. Rev. Fluids. 6(9), 094606,, 2021.
  21. De Stefano, G., Dymkoski, E., and Vasilyev, O.V., Localized dynamic kinetic-energy model for compressible wavelet-based adaptive large-eddy simulation. Phys. Rev. Fluids. 7(5), 054604,, 2022.
  22. Mehta, Y., Goetsch, R., Vasilyev, O.V., and Regele, J.D.,A particle resolved simulation approach for studying shock interactions with moving, colliding solid particles. Computers and Fluids. 248, 105670,, 2022.

Invited Coference and Symposium Papers

  1. Vasilyev, O.V., Nejadmalayeri, A., De Stefano, G., Continuously Variable Fidelity Adaptive Large Eddy Simulation.  In Proceedings of Third International Workshop “Computational Experiment in Aeroacoustics, ” Svetlogorsk, Russia, pp. 47-55, 2014.

Conference and Symposium Papers

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. Kevlahan, N.K.-R.,Vasilyev, O.V., Goldstein, D.E., anf 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.
  6. 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.
  7. Kassoy, D., Regele, J. 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.
  8. Regele, J.D., Kassoy, D., and Vasilyev, O.V., Numerical Modeling of Acoustic Timescale Detonation Initiation, AIAA Paper 2008-1037, 2008.
  9. 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.
  10. Reckinger, S.J., Livescu, D., and Vasilyev, O.V. Simulations of Compressible Rayleigh-Taylor Instability Using the Adaptive Wavelet Collocation Method, In Proceedings of the Seventh International Conference on Computational Fluid Dynamics (ICCFD7), 2012.
  11. Regele, J.D., Kassoy, D., Vezolainen, A., and Vasilyev, O.V., Purely gasdynamic multidimensional indirect detonation initiation using localized acoustic timescale power deposition, AIAA-2013-1172, 2013.
  12. De Stefano, G. and Vasilyev, O.V. DNS of Square-cylinder Flow using Hybrid Wavelet-Collocation/Volume-Penalization Method,In Direct and Large-Eddy Simulation IX, Proceedings of the Ninth International ERCOFTAC Workshop on Direct and Large-Eddy Simulations, pp. 117-123, Edts. J. Frohlich, H. Kuerten, B.J. Geurts, and V. Armenio, Springer, 2015.
  13. De Stefano, G. and Vasilyev, O.V., Towards wavelet-based intelligent simulation of wall-bounded turbulent compressible flows, In Direct and Large-Eddy Simulation XII, DLES 2019. ERCOFTAC Series, vol. 27, pp. 285-290, Edts. Garcia-Villalba M., Kuerten H., Salvetti M., Springer, Cham,, 2020.

Non-Refereed Articles

  1. 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.
Dr. Oleg V. Vasilyev, Founder and CEO
Adaptive Wavelet Technologies LLC.
PO Box 270931
Louisville, CO 80027, USA

Last Updated: June 27, 2020