S. Dias+, M. Budišić, P. Piperni, and B. T. Helenbrook. “Identifying Buffet Oscillations Using Sliding-Window Dynamic Mode Decomposition”, AIAA Journal 62, no. 8 (2024), pp. 3039–3051. doi: 10.2514/1.J063929. [2].
H. Enayati+ and B. T. Helenbrook. “Shoaling Internal Solitary Waves and the Formation of Boluses”, Open Journal of Fluid Dynamics 14, no. 02 (2024), pp. 65–82. doi: 10.4236/ojfd.2024.142003.
N. Bagheri-Sadeghi+ and B. T. Helenbrook. “Effects of the inert phase on solidification near a triple-phase line”, Journal of Crystal Growth 625 (Jan. 2024), p. 127438. doi: 10.1016/j.jcrysgro.2023.127438. [2].
N. Bagheri-Sadeghi+ and B. T. Helenbrook. “Gas effects on horizontal ribbon growth”, Journal of crystal growth 634 (May 2024), p. 127675. doi: 10.1016/j.jcrysgro.2024.127675. [1].
N. Bagheri-Sadeghi+ and B. T. Helenbrook. “Effect of heat transfer on the growth angles observed in meniscus-defined solidification”, Journal of crystal growth 639 (May 2024), p. 127744. doi: 10.1016/j.jcrysgro.2024.127744.
A. A. Mofakham, B. T. Helenbrook, B. D. Erath, A. R. Ferro, T. Ahmed, D. M. Brown, and G. Ahmadi. “Influence of two-dimensional expiratory airflow variations on respiratory particle propagation during pronunciation of the fricative [f]”, Journal of Aerosol Science 173 (Sept. 2023), p. 106179. doi: 10.1016/j.jaerosci.2023.106179. [2].
N. Bagheri-Sadeghi+, V. A. Fabiyi, B. T. Helenbrook, and E. Paek. “Sensitivity of horizontal ribbon growth to solidification kinetics”, Journal of Crystal Growth 603 (Feb. 2023), p. 127038. doi: 10.1016/j.jcrysgro.2022.127038. [5].
V. A. Fabiyi, T. Richmond, B. T. Helenbrook, and E. Paek. “Molecular dynamics determination of Two-dimensional nucleation kinetic coefficient for modeling the faceted growth of Si (111) from an undercooled melt”, Journal of Crystal Growth 592 (Aug. 2022), p. 126736. doi: 10.1016/j.jcrysgro.2022.126736. [8].
N. Bagheri-Sadeghi+ and B. T. Helenbrook. “Buoyancy and Marangoni effects on horizontal ribbon growth”, Journal of Crystal Growth 596 (Oct. 2022), p. 126822. doi: 10.1016/j.jcrysgro.2022.126822. [6].
A. A. Mofakham, B. T. Helenbrook, B. D. Erath, A. R. Ferro, T. Ahmed, D. M. Brown, and G. Ahmadi. “On the variation of fricative airflow dynamics with vocal tract geometry and speech loudness”, Aerosol Science and Technology 56, no. 5 (Apr. 2022), pp. 446–460. doi: 10.1080/02786826.2022.2045001. [6].
T. Ahmed, M. S. Rawat, A. R. Ferro, A. A. Mofakham, B. T. Helenbrook, G. Ahmadi, D. Senarathna, S. Mondal, D. Brown, and B. D. Erath. “Characterizing respiratory aerosol emissions during sustained phonation”, Journal of exposure science & environmental epidemiology 32, no. 5 (Mar. 2022), pp. 1–8. doi: 10.1038/s41370-022-00430-z. [14].
A. Pirnia and B. T. Helenbrook. “Physics of Double Faceted Crystal Growth in Solidification Processes”, Journal of Crystal Growth 582 (Mar. 2022), p. 126517. doi: 10.1016/j.jcrysgro.2022.126517. [9].
A. A. Mofakham, B. T. Helenbrook, B. D. Erath, A. R. Ferro, T. Ahmed, D. M. Brown, and G. Ahmadi. “Influence of Expiratory Airflow Variations on Respiratory Droplet Propagation During Fricative Utterance Productions”, SSRN Electronic Journal (2022). doi: 10.2139/ssrn.4041754.
N. Bagheri-Sadeghi+, B. T. Helenbrook, and K. D. Visser. “Maximal Power Per Device Area of a Ducted Turbine”, Wind Energy Science 6, no. 4 (July 2021), pp. 1031–1041. doi: 10.5194/wes-6-1031-2021. [7].
L. D’Aquila+, B. T. Helenbrook, and A. Mazaheri. “A Novel Stabilization Method for High-Order Shock Fitting with Finite Element Methods”, Journal of Computational Physics 430 (Apr. 2021), p. 110096. doi: 10.1016/j.jcp.2020.110096. [14].
J. M. Appleton+ and B. T. Helenbrook. “A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of Hp Triangular Finite Element Methods”, SIAM Journal on Numerical Analysis 59, no. 3 (Jan. 2021), pp. 1618–1638. doi: 10.1137/19M1268471. [2].
T. Ahmed, H. E. Wendling, A. A. Mofakham, G. Ahmadi, B. T. Helenbrook, A. R. Ferro, D. M. Brown, and B. D. Erath. “Variability in Expiratory Trajectory Angles during Consonant Production by One Human Subject and from a Physical Mouth Model: Application to Respiratory Droplet Emission”, Indoor Air 31, no. 6 (July 2021), pp. 1896–1912. doi: 10.1111/ina.12908. [12].
R. Venters+*, B. T. Helenbrook, G. Ahmadi, D. Bohl, and A. Bluestein*. “Flow through an Elbow: A Direct Numerical Simulation Investigating Turbulent Flow Quantities”, International Journal of Heat and Fluid Flow 90 (Aug. 2021), p. 108835. doi: 10.1016/j.ijheatfluidflow.2021.108835. [5].
A. Pirnia and B. T. Helenbrook. “Analysis of Faceted Solidification in the Horizontal Ribbon Growth Crystallization Process”, Journal of Crystal Growth 555 (Feb. 2021), p. 125958. doi: 10.1016/j.jcrysgro.2020.125958. [10].
A. Pirnia, J. McClure, S. Peterson, B. T. Helenbrook, and B. Erath. “Estimating Pressure Fields from Planar Velocity Data around Immersed Bodies; a Finite Element Approach”, Experiments in Fluids 61, no. 2 (Jan. 2020), pp. 1–16. doi: 10.1007/s00348-020-2886-z. [10].
F. Hejripour, B. T. Helenbrook, D. T. Valentine, and D. K. Aidun. “Mass Transport and Solidification Phenomenon in Dissimilar Metals Arc Welding”, International Journal of Heat and Mass Transfer 144 (Dec. 2019), p. 118703. doi: 10.1016/j.ijheatmasstransfer.2019.118703. [22].
A. M. Bluestein*, R. Venters+*, D. Bohl, B. T. Helenbrook, and G. Ahmadi. “Turbulent Flow Through a Ducted Elbow and Plugged Tee Geometry: An Experimental and Numerical Study”, Journal of Fluids Engineering 141, no. 8 (Jan. 2019), p. 081101. doi: 10.1115/1.4042256. [22].
F. Behzad+, B. T. Helenbrook, and G. Ahmadi. “Multilevel Algorithm for Obtaining the Proper Orthogonal Decomposition”, AIAA Journal 56, no. 11 (Nov. 2018), pp. 4423–4436. doi: 10.2514/1.J056807. [5].
I. Udagedara+, B. T. Helenbrook, A. Luttman, and J. Catenacci. “Probabilistic Reduced Order Modeling Using a Bayesian Approach”, American Journal of Mathematical and Computational Sciences 3, no. 2 (2018), pp. 50–61.
N. Bagheri-Sadeghi+, B. T. Helenbrook, and K. D. Visser. “Ducted Wind Turbine Optimization and Sensitivity to Rotor Position”, Wind Energy Science 3, no. 1 (Apr. 2018), pp. 221–229. doi: 10.5194/wes-3-221-2018. [45].
B. T. Helenbrook and D. ben-Avraham. “Ordering Statistics of Four Random Walkers on a Line”, Phys. Rev. E 97, no. 5 (5 May 2018), p. 052105. doi: 10.1103/physreve.97.052105. [2].
R. Venters+*, B. T. Helenbrook, and K. D. Visser. “Ducted Wind Turbine Optimization”, Journal of Solar Energy Engineering 140, no. 1 (Feb. 2018), p. 011005. doi: 10.1115/1.4037741. [59].
B. Helenbrook and J. Hrdina*. “High-Order Adaptive Arbitrary-Lagrangian–Eulerian (ALE) Simulations of Solidification”, Computers & Fluids 167 (May 2018), pp. 40–50. doi: 10.1016/j.compfluid.2018.02.028. [28].
D. S. Meyer+, B. T. Helenbrook, and M.-C. Cheng. “Proper Orthogonal Decomposition-Based Reduced Basis Element Thermal Modeling of Integrated Circuits”, International Journal for Numerical Methods in Engineering 112, no. 5 (Mar. 2017), pp. 479–500. doi: 10.1002/nme.5529. [5].
N. S. Barlow+, B. T. Helenbrook, and S. J. Weinstein. “Algorithm for Spatio-Temporal Analysis of the Signalling Problem”, IMA Journal of Applied Mathematics 82, no. 1 (Feb. 2017), pp. 1–32. doi: 10.1093/imamat/hxv040. [9].
B. T. Helenbrook and N. S. Barlow+. “Spatial-Temporal Stability Analysis of Faceted Growth with Application to Horizontal Ribbon Growth”, Journal of Crystal Growth 454 (Nov. 2016), pp. 35–44. doi: 10.1016/j.jcrysgro.2016.08.052. [9].
B. T. Helenbrook, P. Kellerman, F. Carlson, N. Desai, and D. Sun. “Experimental and Numerical Investigation of the Horizontal Ribbon Growth Process”, Journal of Crystal Growth 453 (Nov. 2016), pp. 163–172. doi: 10.1016/j.jcrysgro.2016.08.034. [21].
W. Jia, B. T. Helenbrook, and M. C. Cheng. “Fast Thermal Simulation of FinFET Circuits Based on a Multiblock Reduced-Order Model”, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 35, no. 7 (July 2016), pp. 1114–1124. doi: 10.1109/tcad.2015.2501305. [31].
P. Kellerman, B. Kernan, B. T. Helenbrook, D. Sun, F. Sinclair, and F. Carlson. “Floating Silicon Method Single Crystal Ribbon–Observations and Proposed Limit Cycle Theory”, Journal of Crystal Growth 451 (Oct. 2016), pp. 174–180. doi: 10.1016/j.jcrysgro.2016.07.012. [18].
A. Bahrami, B. T. Helenbrook, D. T. Valentine, and D. K. Aidun. “Fluid Flow and Mixing in Linear GTA Welding of Dissimilar Ferrous Alloys”, International Journal of Heat and Mass Transfer 93 (Feb. 2016), pp. 729–741. doi: 10.1016/j.ijheatmasstransfer.2015.10.058. [31].
K. Perline* and B. Helenbrook. “A Hybrid Level-Set/Moving-Mesh Interface Tracking Method”, Applied Numerical Mathematics 92 (June 2015), pp. 21–39. doi: 10.1016/j.apnum.2015.01.004. [1].
A. Bahrami, D. T. Valentine, B. T. Helenbrook, and D. K. Aidun. “Study of Mass Transport in Autogenous GTA Welding of Dissimilar Metals”, International Journal of Heat and Mass Transfer 85 (June 2015), pp. 41–53. doi: 10.1016/j.ijheatmasstransfer.2015.01.074. [34].
B. T. Helenbrook. “Solidification along a Wall or Free Surface with Heat Removal”, Journal of Crystal Growth 418 (May 2015), pp. 79–85. doi: 10.1016/j.jcrysgro.2015.02.028. [11].
I. Udagedara+, B. T. Helenbrook, A. Luttman, and S. E. Mitchell. “Reduced Order Modeling for Accelerated Monte Carlo Simulations in Radiation Transport”, Applied Mathematics and Computation 267 (Sept. 2015). The Fourth European Seminar on Computing (ESCO 2014), pp. 237–251. doi: 10.1016/j.amc.2015.03.113. [17].
F. Behzad+, B. T. Helenbrook, and G. Ahmadi. “On the Sensitivity and Accuracy of Proper-Orthogonal-Decomposition-Based Reduced Order Models for Burgers Equation”, Computers & Fluids 106, no. 0 (Jan. 2015), pp. 19–32. doi: 10.1016/j.compfluid.2014.09.041. [13].
W. Jia, B. Helenbrook, and M.-C. Cheng. “Thermal Modeling of Multi-Fin Field Effect Transistor Structure Using Proper Orthogonal Decomposition”, Electron Devices, IEEE Transactions on 61, no. 8 (Aug. 2014), pp. 2752–2759. doi: 10.1109/ted.2014.2332414. [34].
M. J. Brazell+ and B. T. Helenbrook. “p = 2 Continuous Finite Elements on Tetrahedra with Local Mass Matrix Inversion to Solve the Preconditioned Compressible Navier–Stokes Equations”, Computers & Fluids 88, no. 0 (Dec. 2013), pp. 643–652. doi: 10.1016/j.compfluid.2013.10.025. [3].
M. J. Brazell+ and B. T. Helenbrook. “P = 2 Continuous Finite Elements on Tetrahedra with Local Mass Matrix Inversion”, Computer Methods in Applied Mechanics and Engineering 213–216 (Mar. 2012), pp. 289–298. doi: 10.1016/j.cma.2011.12.001. [4].
R. Venters+*, B. T. Helenbrook, K. Zhang, and M.-C. Cheng. “Proper-Orthogonal-Decomposition Based Thermal Modeling of Semiconductor Structures”, Electron Devices, IEEE Transactions on 59, no. 11 (Nov. 2012), pp. 2924–2931. doi: 10.1109/ted.2012.2211878. [33].
N. S. Barlow+, S. J. Weinstein, and B. Helenbrook. “On the Response of Convectively Unstable Flows to Oscillatory Forcing with Application to Liquid Sheets”, Journal of Fluid Mechanics 699 (Apr. 2012), pp. 115–152. doi: 10.1017/jfm.2012.86. [13].
P. Zamankhan, B. T. Helenbrook, S. Takayama, and J. Grotberg. “Steady Motion of Bingham Liquid Plugs in Two-Dimensional Channels”, J. Fluid Mech. 705 (Aug. 2012), pp. 258–279. doi: 10.1017/jfm.2011.438. [41].
M. A. Karri+, E. F. Thacher, and B. T. Helenbrook. “Exhaust Energy Conversion by Thermoelectric Generator: Two Case Studies”, Energy Conversion and Management 52, no. 3 (Mar. 2011), pp. 1596–1611. doi: 10.1016/j.enconman.2010.10.013. [320].
N. S. Barlow+, B. T. Helenbrook, and S. P. Lin. “Transience to Instability in a Liquid Sheet”, J. Fluid Mech. 666 (Jan. 2011), pp. 358–390. doi: 10.1017/s0022112010004416. [36].
N. S. Barlow+, B. T. Helenbrook, S. P. Lin, and S. J. Weinstein. “An Interpretation of Absolutely and Convectively Unstable Waves using Series Solutions”, Wave Motion 47, no. 8 (Dec. 2010), pp. 564–582. doi: 10.1016/j.wavemoti.2010.04.003. [10].
B. Mascarenhas+, B. T. Helenbrook, and H. L. Atkins. “Coupling p-Multigrid to Geometric Multigrid for Discontinuous Galerkin Formulations of the Convection-Diffusion Equation”, J. Comp. Phys. 229 (2010), pp. 3664–3674. doi: 10.1016/j.jcp.2010.01.020. [22].
B. T. Helenbrook. “On the Existence of Explicit hp-Finite Element Methods Using Gauss–Lobatto Integration on the Triangle”, SIAM J. Numer. Anal. 47, no. 2 (Jan. 2009), pp. 1304–1318. doi: 10.1137/070685439. [29].
Q. Zhou, H. H. Shen, B. T. Helenbrook, and H. W. Zhang. “Scale Dependence of Direct Shear Tests”, Chinese Science Bulletin 54, no. 23 (Dec. 2009), pp. 4337–4348. doi: 10.1007/s11434-009-0516-5. [33].
Y. Zhang, M.-C. Cheng, P. Pillay, and B. T. Helenbrook. “High Order Finite Element Model for Core Loss Assessment in a Hysteresis Magnetic Lamination”, J. Applied Physics 106, no. 4 (Aug. 2009), p. 043911. doi: 10.1063/1.3176492. [14].
N. S. Barlow+, B. T. Helenbrook, and S. P. Lin. “A Numerical Investigation of the Stability of Expanding Liquid Sheets and the Influence of Boundary Conditions”, Comput. & Fluids 38, no. 3 (Mar. 2009), pp. 552–563. doi: 10.1016/j.compfluid.2008.05.005. [4].
B. Mascarenhas+, B. T. Helenbrook, and H. L. Atkins. “Application of p-Multigrid to Discontinuous Galerkin Formulations of the Euler Equations”, AIAA Journal 47, no. 5 (May 2009), pp. 1200–1208. doi: 10.2514/1.39765. [15].
B. T. Helenbrook, H. H. Shen, M. P. Powers, and P. T. Metzger. “Continuum Modeling and Discrete Element Simulations of Elastic-Quasi-Static Granular Flow in a Compressing Slot”, Journal of Aerospace Engineering 22, no. 4 (Oct. 2009), pp. 415–422. doi: 10.1061/ASCE0893-1321200922:4415.
B. T. Helenbrook and G. W. Cowles. “Preconditioning for Dual-Time-Stepping Simulations of the Shallow Water Equations including Coriolis and Bed Friction Effects”, J. Comp. Phys. 227, no. 9 (2008), pp. 4425–4440. doi: 10.1016/j.jcp.2008.01.004. [17].
B. T. Helenbrook and H. L. Atkins. “Solving Discontinuous Galerkin Formulations of Poisson’s Equation Using Geometric and p-Multigrid”, AIAA Journal 46, no. 4 (Apr. 2008), pp. 894–902. doi: 10.2514/1.31163. [16].
E. F. Thacher, B. T. Helenbrook, M. A. Karri+, and C. J. Richter. “Testing of an Automobile Exhaust Thermoelectric Generator in a Light Truck”, Proc. IMechE, Part D: J. Automobile Engineering 221, no. D1 (Jan. 2007), pp. 95–107. doi: 10.1243/09544070JAUTO51. [279].
B. J. O’Donnell+ and B. T. Helenbrook. “Proper Orthogonal Decomposition and Incompressible Flow: An Application to Particle Modeling”, Comput. & Fluids 36, no. 7 (Aug. 2007), pp. 1174–1186. doi: 10.1016/j.compfluid.2006.12.004. [35].
B. T. Helenbrook and H. L. Atkins. “Application of p-multigrid to discontinuous Galerkin formulations of the Poisson equation”, AIAA journal 44, no. 3 (Mar. 2006), pp. 566–575. doi: 10.2514/1.15497. [52].
B. T. Helenbrook. “Preconditioning for Incompressible Flows with Free-Surfaces and Two-Fluid Interfaces”, J. Comp. Phys. 207, no. 1 (July 2005), pp. 282–308. doi: 10.1016/j.jcp.2005.01.012. [7].
W. Y. Jiang, S. J. Weinstein, B. T. Helenbrook, and S. P. Lin. “Low Reynolds Number Instabilities in Three-Layer Flow Down an Inclined Wall”, J. Fluid Mech. 539, no. -1 (Sept. 2005), pp. 387–416. doi: 10.1017/S0022112005005781. [27].
B. J. O’Donnell+ and B. T. Helenbrook. “Drag on Ellipsoids at Finite Reynolds Numbers”, Atomization and Sprays 15, no. 4 (2005), pp. 363–376. doi: 10.1615/AtomizSpr.v15.i4.10. [17].
W. Y. Jiang, B. T. Helenbrook, and S. P. Lin. “Inertialess Instability of a Two-Layer Liquid Film Flow”, Phys. Fluids 16, no. 3 (Mar. 2004), pp. 652–663. doi: 10.1063/1.1642657. [45].
B. T. Helenbrook. “Mesh Deformation Using the Biharmonic Operator”, Int. J. Num. Meth. Eng. 56, no. 7 (Jan. 2003), pp. 1007–1021. doi: 10.1002/nme.595. [264].
B. T. Helenbrook and C. F. Edwards. “Quasi-Steady Deformation and Drag of Uncontaminated Liquid Drops”, Int. J. Multi-Phase Flows. 28, no. 10 (Oct. 2002), pp. 1631–1657. doi: 10.1016/s0301-9322(02)00073-3. [161].
B. T. Helenbrook. “A Two-Fluid Spectral Element Method”, Comp. Meth. Appl. Mech. Eng. 191, no. 3–5 (Nov. 2001), pp. 273–294. doi: 10.1016/s0045-7825(01)00275-4. [76].
B. T. Helenbrook and C. K. Law. “The Role of Landau-Darrieus Instability in Large Scale Flows”, Combustion and Flame 117, no. 1-2 (Apr. 1999), pp. 155–169. doi: 10.1016/s0010-2180(98)00098-4. [34].
B. T. Helenbrook, L. Martinelli, and C. K. Law. “A Numerical Method for Solving Incompressible Flow Problems with a Surface of Discontinuity”, J. Comp. Phys. 148, no. 2 (Jan. 1999), pp. 366–396. doi: 10.1006/jcph.1998.6115. [69].
B. T. Helenbrook, H. G. Im, and C. K. Law. “Theory of Radical-Induced Ignition of Counterflowing Hydrogen versus Oxygen at High Temperatures”, Combustion and Flame 112, no. 1-2 (Jan. 1998), pp. 242–252. doi: 10.1016/s0010-2180(97)81772-5. [14].
B. T. Helenbrook, C. Sung, C. Law, and W. T. Ashurst. “On Stretch-Affected Flame Propagation in Vortical Flows”, Combustion and flame 104, no. 4 (Mar. 1996), pp. 460–468. doi: 10.1016/0010-2180(95)00153-0. [22].
B. T. Helenbrook and C. K. Law. “Ignition of Hydrogen and Oxygen in Counterflow at High Pressures”, in: Proceedings of The Twenty-Sixth (International) Symposium on Combustion. Vol. 26. 1. Elsevier BV, Jan. 1996, pp. 815–822. doi: 10.1016/s0082-0784(96)80291-8. [7].
H. G. Im, B. T. Helenbrook, S. R. Lee, and C. K. Law. “Ignition in the Supersonic Hydrogen/Air Mixing Layer with Reduced Reaction Mechanisms”, J. Fluid Mech. 322 (1996), pp. 275–296. doi: 10.1017/s0022112096002790. [35].