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International Journal of Computational Fluid Dynamics Volume 23, 2009 - Issue 7
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Articles

An adaptive wavelet-collocation method for shock computations

J. D. Regele Department of Mechanical Engineering, 427 UCB, University of Colorado, Boulder, CO, 80309-0427, USA
&
O. V. Vasilyev Department of Mechanical Engineering, 427 UCB, University of Colorado, Boulder, CO, 80309-0427, USACorrespondence[email protected]
Pages 503-518 | Received 05 Aug 2008, Accepted 07 Jun 2009, Published online: 14 Sep 2009

Citations (46)

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Mohamad Aslani & Jonathan D. Regele. (2018) Numerical simulation of finite disturbances interacting with laminar premixed flames. Combustion Theory and Modelling 22:4, pages 812-833.
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Fynn Reinbacher & Jonathan David Regele. (2018) Influence of smooth temperature variation on hotspot ignition. Combustion Theory and Modelling 22:1, pages 110-130.
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Michael Drew Kurtz & Jonathan David Regele. (2014) Acoustic timescale characterisation of symmetric and asymmetric multidimensional hot spots. Combustion Theory and Modelling 18:6, pages 711-729.
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Michael D. Kurtz & Jonathan D. Regele. (2014) Acoustic timescale characterisation of a one-dimensional model hot spot. Combustion Theory and Modelling 18:4-5, pages 532-551.
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J.D. Regele, D.R. Kassoy & O.V. Vasilyev. (2012) Effects of high activation energies on acoustic timescale detonation initiation. Combustion Theory and Modelling 16:4, pages 650-678.
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Articles from other publishers (41)

Bing Yang, Jizeng Wang, Xiaojing Liu & Youhe Zhou. (2024) High-order adaptive multiresolution wavelet upwind schemes for hyperbolic conservation laws. Computers & Fluids 269, pages 106111.
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Bing Yang, Jizeng Wang, Xiaojing Liu & Youhe Zhou. (2023) Stability and Resolution Analysis of the Wavelet Collocation Upwind Schemes for Hyperbolic Conservation Laws. Fluids 8:2, pages 65.
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Y. Mehta, R.J. Goetsch, O.V. Vasilyev & J.D. Regele. (2022) A particle resolved simulation approach for studying shock interactions with moving, colliding solid particles. Computers & Fluids 248, pages 105670.
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Nils Hoppe, Stefan Adami & Nikolaus A. Adams. (2022) A parallel modular computing environment for three-dimensional multiresolution simulations of compressible flows. Computer Methods in Applied Mechanics and Engineering 391, pages 114486.
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An-Yang Wang & Hang Xu. (2022) Highly accurate wavelet-homotopy solutions for mixed convection hybrid nanofluid flow in an inclined square lid-driven cavity. Computers & Mathematics with Applications 108, pages 88-108.
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Yash Mehta, Ari Nejadmalayeri & Jonathan David Regele. (2021) Computational Fluid Dynamics Using the Adaptive Wavelet-Collocation Method. Fluids 6:11, pages 377.
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Xuan Ge, Giuliano De Stefano, M. Yousuff Hussaini & Oleg V. Vasilyev. (2021) Wavelet-Based Adaptive Eddy-Resolving Methods for Modeling and Simulation of Complex Wall-Bounded Compressible Turbulent Flows. Fluids 6:9, pages 331.
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Nurlybek Kasimov, Eric Dymkoski, Giuliano De Stefano & Oleg V. Vasilyev. (2021) Galilean-Invariant Characteristic-Based Volume Penalization Method for Supersonic Flows with Moving Boundaries. Fluids 6:8, pages 293.
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Viola Rossano & Giuliano De Stefano. (2021) Computational Evaluation of Shock Wave Interaction with a Cylindrical Water Column. Applied Sciences 11:11, pages 4934.
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Qiang Yu & Hang Xu. (2021) A homotopy-based wavelet approach for large deflection of a circular plate on nonlinear foundations with parameterized boundaries. Computers & Mathematics with Applications 90, pages 80-95.
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Viola Rossano & Giuliano De Stefano. 2021. Computational Science and Its Applications – ICCSA 2021. Computational Science and Its Applications – ICCSA 2021 376 386 .
Qiang Yu. (2020) Wavelet-based homotopy method for analysis of nonlinear bending of variable-thickness plate on elastic foundations. Thin-Walled Structures 157, pages 107105.
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Xuan Ge, Oleg V. Vasilyev, Giuliano De Stefano & M. Yousuff Hussaini. (2020) Wavelet-Based Adaptive Unsteady Reynolds-Averaged Navier–Stokes Simulations of Wall-Bounded Compressible Turbulent Flows. AIAA Journal 58:4, pages 1529-1549.
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Zhiyu Xu, Yonghua Tan & Xiaoming Li. (2020) Wavelet Methods and Adaptive Grids in One-Dimensional Movable Boundary Problems. Mathematical Problems in Engineering 2020, pages 1-10.
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Xuan Ge, Oleg V. Vasilyev & M. Yousuff Hussaini. (2019) Wavelet-based adaptive delayed detached eddy simulations for wall-bounded compressible turbulent flows. Journal of Fluid Mechanics 873, pages 1116-1157.
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Milinda Fernando, David Neilsen, Hyun Lim, Eric Hirschmann & Hari Sundar. (2019) Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals. SIAM Journal on Scientific Computing 41:2, pages C97-C138.
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Jackson DeBuhr, Bo Zhang, Matthew Anderson, David Neilsen, Eric W. Hirschmann, Temistocle Grenga & Samuel Paolucci. (2018) Relativistic Hydrodynamics with Wavelets. The Astrophysical Journal 867:2, pages 112.
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Alice de Jesus Kozakevicius, Dia Zeidan, Alex A. Schmidt & Stefan Jakobsson. (2018) Solving a mixture model of two-phase flow with velocity non-equilibrium using WENO wavelet methods. International Journal of Numerical Methods for Heat & Fluid Flow 28:9, pages 2052-2071.
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Zahra Hosseinzadeh-Nik, Shankar Subramaniam & Jonathan D. Regele. (2018) Investigation and quantification of flow unsteadiness in shock-particle cloud interaction. International Journal of Multiphase Flow 101, pages 186-201.
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Alex A. Schmidt, Alice de Jesus Kozakevicius & Stefan Jakobsson. (2017) A parallel wavelet adaptive WENO scheme for 2D conservation laws. International Journal of Numerical Methods for Heat & Fluid Flow 27:7, pages 1467-1486.
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Seongju Do, Haojun Li & Myungjoo Kang. (2017) Wavelet-based adaptation methodology combined with finite difference WENO to solve ideal magnetohydrodynamics. Journal of Computational Physics 339, pages 482-499.
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Marcin Łoś, Maciej Paszyński, Adrian Kłusek & Witold Dzwinel. (2017) Application of fast isogeometric L2 projection solver for tumor growth simulations. Computer Methods in Applied Mechanics and Engineering 316, pages 1257-1269.
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Eric Brown-Dymkoski & Oleg V. Vasilyev. (2017) Adaptive-Anisotropic Wavelet Collocation Method on general curvilinear coordinate systems. Journal of Computational Physics 333, pages 414-426.
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Xiongwei Cui, Xiongliang Yao, Zhikai Wang & Minghao Liu. (2017) A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid–structure interaction. Journal of Computational Physics 333, pages 24-48.
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Jonathan D. Regele, David R. Kassoy, Mohamad Aslani & Oleg V. Vasilyev. (2016) Evolution of detonation formation initiated by a spatially distributed, transient energy source. Journal of Fluid Mechanics 802, pages 305-332.
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Scott J. Reckinger, Daniel Livescu & Oleg V. Vasilyev. (2016) Comprehensive numerical methodology for direct numerical simulations of compressible Rayleigh–Taylor instability. Journal of Computational Physics 313, pages 181-208.
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Dia Zeidan, Alice J. Kozakevicius, Alex A. Schmidt & Stefan Jakobsson. WENO wavelet method for a hyperbolic model of two-phase flow in conservative form. WENO wavelet method for a hyperbolic model of two-phase flow in conservative form.
Haojun Li, Seongju Do & Myungjoo Kang. (2015) A wavelet-based adaptive WENO algorithm for Euler equations. Computers & Fluids 123, pages 10-22.
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Alireza Nejadmalayeri, Alexei Vezolainen, Eric Brown-Dymkoski & Oleg V. Vasilyev. (2015) Parallel adaptive wavelet collocation method for PDEs. Journal of Computational Physics 298, pages 237-253.
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Shanon M. Reckinger, Oleg V. Vasilyev & Baylor Fox-Kemper. (2014) Adaptive wavelet collocation method on the shallow water model. Journal of Computational Physics 271, pages 342-359.
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J.D. Regele, J. Rabinovitch, T. Colonius & G. Blanquart. (2014) Unsteady effects in dense, high speed, particle laden flows. International Journal of Multiphase Flow 61, pages 1-13.
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Michael D. Kurtz & Jonathan D. Regele. (2014) Acoustic timescale analysis of a model hot spot. Acoustic timescale analysis of a model hot spot.
Haojun Li & Myungjoo Kang. (2013) ADAPTIVE GRID SIMULATION OF HYPERBOLIC EQUATIONS. Journal of the Korea Society for Industrial and Applied Mathematics 17:4, pages 279-294.
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Alireza Nejadmalayeri, Alexei Vezolainen & Oleg V. Vasilyev. (2013) Reynolds number scaling of coherent vortex simulation and stochastic coherent adaptive large eddy simulation. Physics of Fluids 25:11.
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J. D. Regele, D. R. Kassoy, A. Vezolainen & O. V. Vasilyev. (2013) Indirect detonation initiation using acoustic timescale thermal power deposition. Physics of Fluids 25:9.
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Jonathan Regele, David Kassoy & Oleg Vasilyev. (2013) Purely Gasdynamic Multidimensional Indirect Detonation Initiation Using Localized Acoustic Timescale Power Deposition. Purely Gasdynamic Multidimensional Indirect Detonation Initiation Using Localized Acoustic Timescale Power Deposition.
Shanon M. Reckinger, Oleg V. Vasilyev & Baylor Fox-Kemper. (2012) Adaptive volume penalization for ocean modeling. Ocean Dynamics 62:8, pages 1201-1215.
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Jonathan Regele, Jason Rabinovitch, Tim Colonius & Guillaume Blanquart. (2012) Numerical Modeling and Analysis of Early Shock Wave Interactions with a Dense Particle Cloud. Numerical Modeling and Analysis of Early Shock Wave Interactions with a Dense Particle Cloud.
S J Reckinger, D Livescu & O V Vasilyev. (2010) Adaptive wavelet collocation method simulations of Rayleigh–Taylor instability. Physica Scripta T142, pages 014064.
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Babak Hejazialhosseini, Diego Rossinelli, Michael Bergdorf & Petros Koumoutsakos. (2010) High order finite volume methods on wavelet-adapted grids with local time-stepping on multicore architectures for the simulation of shock-bubble interactions. Journal of Computational Physics 229:22, pages 8364-8383.
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Kai Schneider & Oleg V. Vasilyev. (2010) Wavelet Methods in Computational Fluid Dynamics. Annual Review of Fluid Mechanics 42:1, pages 473-503.
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