Phone: 315-268-2204
Fax: 315-268-6438
E-mail: helenbrk@clarkson.edu
CV: PDF
Research Page

Selected Publications (See CV for complete list)

Proof of the non-existence of a Gauss-Lobatto integration rule on the triangle. B. T. Helenbrook, SIAM J. Numer. Anal., submitted., 2007

Coupling p-multigrid to geometric multigrid for discontinuous Galerkin formulations of the Poisson equation. B. T. Helenbrook and H. L. Atkins, AIAA J. accepted, 2007 

Continuum modeling and discrete element simulations of elastic-quasi-static granular flow in a compressing slot. B. T. Helenbrook, H. H. Shen, M. P. Powers, and P. T. Metzger. Powder
Technology, submitted., 2006. 

Testing an automobile exhaust thermoelectric generator in a light truck.E. F. Thacher, B. T. Helenbrook, M. A. Karri, and C. J. Richter., Proc. IMechE, Part D: J. Automobile Engineering, 221(D1):95–107, 2007.

Proper orthogonal decomposition and incompressible flow: An application to particle modeling. B. J. O'Donnell and B. T. Helenbrook. Comp. & Fluids, 36(7):1174--1186, 2007

Artificial compressibility preconditioning under all conditions. B. T. Helenbrook. 44th
Aerospace Sciences Meeting and Exhibit Conference, Reno, NV, Jan 2006. AIAA-2006-0689

Application of "p"-multigrid to discontinuous Galerkin formulations of the Poisson equation. B. T. Helenbrook and H. L. Atkins. AIAA Journal, 44(3):566–575, 2005.

Low Reynolds number instabilities in three-layer flow down an inclined wall., W. Y. Jiang, S. J. Weinstein, B. T. Helenbrook, and S. P. Lin., J. Fluid Mech., 539:387--416, 2005.

Preconditioning for Incompressible Flows with Free-Surfaces and Two-Fluid Interfaces B. T. Helenbrook. J. Comp. Phys., 207(1):282--308, 2005.

Drag on Ellipsoids at Finite Reynolds Numbers, B.J. O'Donnell and B.T. Helenbrook, Atomization and Sprays, 15(4):363-376, 2005.

Inertialess Instability of a Two-Layer Liquid Film Flow, W.Y. Jiang, B.T. Helenbrook, and S.P. Lin, Phys. Fluids, 16(3): 652-663, March 2004.

Mesh Deformation Using the Biharmonic Operator. B.T. Helenbrook, Int. J. Num. Meth. Eng., 56(7): 1007-1021, 2003.

Quasi-Steady Deformation and Drag of Uncontaminated Liquid Drops. B.T. Helenbrook and C.F. Edwards, Int. J. Multi-Phase Flow, Int. J. Multi-Phase Flows., 28: 1631-1657, 2002.

A Two-Fluid Spectral Element Method. B.T. Helenbrook, Comp. Meth. Appl. Mech. Eng., 191: 273-294, 2001.

The Role of Landau-Darrieus Instability in Large Scale Flows. B.T. Helenbrook and C.K. Law, Comb. Flame, 117: 155-169, 1999

A Numerical Method for Solving Incompressible Flow Problems with a Surface of Discontinuity. B.T. Helenbrook, L. Martinelli, and C.K. Law, J. Comp. Phys., 148: 366-396, 1999