Volume Penalization:

Articles in Refereed Journals

1. 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.
2. 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.
3. 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.
4. Reckinger, S.M., Vasilyev, O.V., and Fox-Kemper, B., Adaptive Volume Penalization for Ocean Modeling, Ocean Dynamics, 62(8), pp. 1201-1215, 2012.
5. Brown-Dymkoski, E., Kasimov, N., and Vasilyev, O.V., A Characteristic Based Volume Penalization Method for General Evolution Problems Applied to Compressible Viscous Flows, Journal of Computational Physics, 262, pp. 344-357, 2014.
6. Abalakin, I.V., Vasilyev, O.V., Zhdanova, N.S., and Kozubskaya, T.K., Characteristic Based Volume Penalization Method for Numerical Simulation of Compressible Flows on Unstructured Meshes. Computational Mathematics and Mathematical Physics. 61(8), pp. 1315–1329, https://doi.org/10.1134/S0965542521080029, 2021.
7. Kasimov, N., Dymkoski, E., De Stefano, G., and Vasilyev, O.V., Galilean-Invariant Characteristic-Based Volume Penalization Method for Supersonic Flows with Moving Boundaries. Fluids. 6(8), 293, https://doi.org/10.3390/fluids6080293, 2021.

Conference and Symposium Papers

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
6. Brown-Dymkoski, E., Kasimov, N., and Vasilyev, O.V, Characteristic-Based Volume Penalization Method for Arbitrary Mach Flows Around Solid Obstacles, In Direct and Large-Eddy Simulation IX, Proceedings of the Ninth International ERCOFTAC Workshop on Direct and Large-Eddy Simulations, pp. 109-115, Edts. J. Frohlich, H. Kuerten, B.J. Geurts, and V. Armenio, Springer, 2015.
7. Abalakin, I.V., Kozubskaya, T.K., Vasilyev, O.V., and Zhdanova, N.S., Characteristic-based volume penalization method for compressible flow simulations on unstructured meshes. In Proceedings of 14th WCCM-ECCOMAS Congress 2020, Edts.F. Chinesta, R. Abgrall, O. Allix and M. Kaliske, 2021.