SCI Publications
2006
H. Lu.
“High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems,” Note: Advisor: Martin Berzins, School of Computing, University of Leeds, 2006.
In this thesis, a high-order finite element scheme, based upon the Discontinuous Galerkin (DG) method, is introduced to solve one- and two-dimensional Elastohydrodynamic Lubrication (EHL) problems (line contact and point contact). This thesis provides an introduction to elastohydrodynamic lubrication, including some history, and a description of the underlying mathematical model which is based upon a thin film approximation and a linear elastic model. Following this, typical nondimensionalizations of the equations are discussed, along with boundary conditions. Two families of problems are considered: line and point contacts. Following a review of existing numerical methods for EHL problems, a different numerical technique, known as the Discontinuous Galerkin method is described. This is motivated by the high accuracy requirement for the numerical simulation of EHL problems. This method is successfully applied to steady-state line contact problems. The free boundary is captured accurately using the moving-grid method and the penalty method respectively. Highly accurate numerical results are obtained at a low expense through the use of h-adaptivity methods based on discontinuity and high-order components respectively. Combined with the Crank-Nicolson method and other implicit schemes for the temporal discretization, highly accurate solutions are also obtained for transient line contact problems using the high order DG method for the spatial discretization. In particular, an extra pressure spike is captured, which is difficult to resolve when using low order schemes for spatial discretization. The extension of this high order DG method to the two-dimensional case (point contact) is straightforward. However, the computation in the two-dimensional case is more expensive due to the extra dimension. Hence p-multigrid is employed to improve the efficiency. Since the free boundary in the two-dimensional case is more complicated, only the penalty method is used to handle the cavitation condition. This thesis is ended with the conclusions and a discussion of future work.
T.J. Lujan, M.S. Dalton, B.M. Thompson B.J. Ellis, J.A. Weiss.
“Effect of ACL Deficiency on MCL Strains and Joint Kinematics,” In Journal of Biomechanical Engineering, pp. (in press). November, 2006.
T.J. Lujan, C.J. Underwood, H.B. Henninger, B.M. Thompson, J.A. Weiss.
“Effect of Dermatan Sulfate Glycosaminoglycans on the Quasi-Static Material Properties of the Human Medial Collateral Ligament,” In Journal of Orthopaedic Research, pp. (in press). October, 2006.
H. Marmanis, C.W. Hamman, R.M. Kirby.
“A One-Dimensional Model of the Navier-Stokes,” SCI Institute Technical Report, No. UUSCI-2006-012, University of Utah, 2006.
L.C. McInnes, B.A. Allan, R. Armstrong, S.J. Benson, D.E. Bernholdt, T.L. Dahlgren, L.F. Diachin, M. Krishnan, J.A. Kohl, J.W. Larson, S. Lefantzi, J. Nieplocha, B. Norris, S.G. Parker, J. Ray, S. Zhou.
“Parallel PDE-Based Simulations Using the Common Component Architecture,” In Numerical Solution of Partial Differential Equations on Parallel Computers, Lecture Notes in Computational Science and Engineering, Edited by A.M. Bruaset and P. Bjorstad and A. Tveito, Springer, pp. 327--284. 2006.
ISBN: 3-540-29076-1
S. Means, A.J. Smith, J. Shepherd, J. Shadid, J. Fowler, R. Wojcikiewicz, T. Mazel, G.D. Smith, B.S. Wilson.
“Reaction Diffusion Modeling of Calcium Dynamics with Realistic ER Geometry,” In Biophys. J., Vol. 91, pp. 537--557. March, 2006.
I. Melatti, R. Palmer, G. Sawaya, Y. Yang, R.M. Kirby, G. Gopalakrishnan.
“Parallel and Distributed Model Checking in Eddy,” In Model Checking Software: Proceedings of the 13th International SPIN Workshop (SPIN 2006), Austria, Vol. 3925/2006, pp. 108--125. 2006.
P. Miller, P.-T. Bremer, W. Cabot, A. Cook, D. Laney, A. Mascarenhas, V. Pascucci.
“Application of Morse Theory to Analysis of Rayleigh-Taylor Topology,” In 10th International Workshop on the Physics of Compressible Turbulent Mixing, 2006.
C.R. Johnson, R. Moorhead, T. Munzner, H. Pfister, P. Rheingans, T. Yoo.
“NIH/NSF Visualization Research Challenges Report Summary,” Note: NIH/NSF, pp. 66-73. 2006.
T. Munzner, C.R. Johnson, R. Moorhead, H. Pfister, P. Rheingans, T.S. Yoo.
“NIH-NSF Visualization Research Challenges Report Summary,” Note: NIH-NSF, pp. 20--24. March/April, 2006.
S. Nagarajan, O. Portniaguine, D. Hwang, C.R. Johnson, K. Sekihara.
“Controlled Support MEG Imaging,” In NeuroImage, Vol. 15;33, No. 3, pp. 878--885. 2006.
V. Natarajan, Y. Wang, P.-T. Bremer, V. Pascucci, B. Hamann.
“Segmenting Molecular Surfaces,” In Computer Aided Geometric Design, Special Issue on Applications of Geometric Modeling in the Life Sciences, Vol. 23, No. 6, Note: (To appear), pp. 495--509. 2006.
B. Nelson, R.M. Kirby.
“Ray-Tracing Polymorphic Multi-Domain Spectral/hp Elements for Isosurface Rendering,” In IEEE Transactions on Visualization and Computer Graphics, Vol. 12, No. 1, pp. 114--125. 2006.
O. Nemitz, M. Rumpf, T. Tasdizen, R.T. Whitaker.
“Anisotropic Curvature Motion for Structure Enhancing Smoothing of 3D MR Angiography Data,” In Journal of Mathematical Imaging and Vision, Vol. 27, No. 3, pp. 217--229. April, 2006.
J.T. Oden, J. Fish, C.R. Johnson, A. Laub, D. Srolovitz, T. Belytschko, T.J.R. Hughes, D. Keys, L. Petzold, S. Yip.
“NSF Blue Ribbon Panel Report on Simulation Based Engineering Science,” Note: NSF Report, 2006.
Purpose: To explore the emerging discipline of Simulation Simulation-Based Engineering Science, its major components, its importance to the nation, the challenges and barriers to its advancement, and to recommend to the NSF and the broader community concerned with science and engineering in the United States, steps that could be taken to advance development in this discipline.
R. Palmer, S. Barrus, Y. Yang, G. Gopalakrishnan, R.M. Kirby.
“Gauss: A Framework for Verifying Scientific Computing Software,” In Electronic Notes on Theoretical Computer Science (ENTCS), Vol. 144, No. 3, pp. 95--106. February, 2006.
S.G. Parker.
“A Component-Based Architecture for Parallel Multi-physics PDE Simulation,” In Future Generation Computer Systems (FGCS), Vol. 22, No. 1-2, Elsevier, pp. 204--216. 2006.
S.G. Parker, K. Zhang, K. Damevski, C.R. Johnson.
“Integrating Component-Based Scientific Computing Software,” In Parallel Processing for Scientific Computing, Edited by M.A. Heroux and P. Raghavan and H.D. Simon, SIAM Press, pp. 271--288. 2006.
ISBN: 0-89871-619-5
S.G. Parker, J. Guilkey, T. Harman.
“A Component-based Parallel Infrastructure for the Simulation of Fluid Structure Interaction,” In Engineering with Computers, Vol. 22, No. 3-4, Springer London, pp. 277--292. 2006.
S.G. Parker.
“Composition of Components in Multiphysics Applications,” In Proceedings of the 12th SIAM Conference on Parallel Processing for Scientific Computing, San Francisco, CA, Note: Presented at the Minisymposium on Parallel Dynamic Data Management Infrastructures for Scientific & Engineering Applications, 2006.