Dynamically 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.  To download figures press here.

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.

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.

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.