# ITAPS Team Publications

## 2005

Bauer, A.C., Shephard, M.S. and Nuggehally, M., *Design overview of the TSTT integrated field approximation for numerical simulation (FANS) library*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

N. Chevaugeon, P. Hu, X. Li, J. Xin, D. Cler, J.E. Flaherty and M.S. Shephard, *Discontinuous Galerkin methods applied to shock and blast problems*, Journal of Scientific Computing, 22, pp. 227-243, 2005.

Dahlgren, Tamara L. and Premkumar T. Devanbu, *Adaptable Assertion Checking for Scientific Software Components*, in Proceedings of the First International Workshop on Software Engineering for High Performance Computing System Applications, Edinburgh, Scotland, UK, May 24, 2004, pp 64-69. Also available as Lawrence Livermore National Laboratory, Technical Report UCRL-CONF-202898.

Y. Deng, J. Glimm, J. Davenport, X. Cai, and E. Santos, *Performance models on QCDOC for molecular dynamics with coulomb potentials*, International Journal of High Performance Computing Applications, 18 (2004), pp. 183--198. SUNYSB-AMS-00-04.

S. Dutta, E. George, J. Glimm, J. Grove, H. Jin, T. Lee, X. Li, D. H. Sharp, K. Ye, Y. Yu, Y. Zhang, and M. Zhao, *Shock wave interactions in spherical and perturbed spherical geometries*, 2004. In Press; University at Stony Brook preprint number SB-AMS-04-09 and LANL report No. LA-UR-04-2989.

S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang, *Error comparison in tracked and untracked spherical simulations*, Computers and Mathematics with Applications, 48 (2004), pp. 1733--1747. University at Stony Brook preprint number AMS-03-10 and LANL report No. LA-UR-03-2920.

S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang, *Spherical Richtmyer-Meshkov instability for axisymmetric flow*, Mathematics and Computers in Simulations, 65 (2004), pp. 417--430. University at Stony Brook preprint number AMS-03-13.

J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, and M. Zhao, *Statistical riemann problems and a composition law for errors in numerical solutions of shock physics problems*, SISC, 26 (2004), pp. 666--697. University at Stony Brook Preprint Number SB-AMS-03-11, Los Alamos National Laboratory number LA-UR-03-2921.

J. Glimm, S. Hou, Y. Lee, D. Sharp, and K. Ye, *Sources of uncertainty and error in the simulation of flow in porous media*, Comp. and Applied Mathematics, 23 (2004), pp. 109--120. SUNYSB preprint 03-08. LANL preprint LA-UR-03-2328.

J. Glimm, H. Jin, and Y. Zhang, *Front tracking for multiphase fluid mixing*, in Computational Methods in Multiphase Flow II, A. A. Mammoli and C. A. Brebbia, eds., WIT Press, Southampton, UK, 2004, pp. 13--22.

T. Lee, Y. Yu, M. Zhao, J. Glimm, X. Li, and K. Ye, *Error analysis of composite shock interaction problems*, Conference Proceedings of PMC04, (2004). University at Stony Brook Preprint Number SB-AMS-04-08.

Li, X., Shephard, M.S. and Beall, M.W., *3-D Anisotropic Mesh Adaptation by Mesh Modifications*, Comp. Meth. Appl. Mech. Engng., 194(48-49), pp. 4915-4950, 2005.

T. Lu, R. Samulyak, and J. Glimm, *Direct numerical simulation of bubbly flows and its applications*, Phys. Fluids, (2004). Submitted.

Luo, X., Yin, L., Shephard, M.S., O'Bara, R.M., Nastasia, R. and Beall, M.W., *An automatic adaptive directional variable p-version method for 3-D curved domains*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

Mueller, J., Sahni, O., Jansen, K.E. and Shephard, M.S., *An anisotropic mesh adaption procedure for pulsatile blood flow simulation*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

J. Mueller, O. Sahni, K. E. Jansen, M. S. Shephard and C. A. Taylor, *A tool for the efficient FE-simulation of cardio-vascular flow*, Proc. 2nd NAFEMS CFD Seminar: Simulation of Complex Flows (CFD).

Nuggehally, M., Picu, C., Shephard, M.S. and Fish, J., *Adaptive model selection procedure in multiscale problems*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

Rieben, White, Rodrigue, *High Order Symplectic Integration Methods for Finite Element Solutions to Time Dependent Maxwell Equations*, to appear in IEEE Transactions on Antennas and Propagation, submitted 2004.

Remacle, J.-F., Frazao, S.S., Li, X. and Shephard, M.S. and Flaherty, J.E., *An Adaptive Discretization of Shallow Water Equations based on Discontinuous Galerkin Methods*, International Journal for Numerical Methods in Fluids, 62(7), pp. 899-923, 2005.

Remacle, J.-F., Li, X., Shephard, M.S. and Flaherty, J.E., *Anisotropic Adaptive Simulation of Transient Flows using Discontinuous Galerkin Methods*, International Journal for Numerical Methods in Engineering, 62, pp. 899-923, 2005.

Seol, E.S. and Shephard, M.S., *A Flexible Distributed Mesh Data Structure to Support Parallel Adaptive Analysis*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

Shephard, M.S., Bauer, A.C., Seol, E.S. and Wan, J., *Construction of Adaptive Simulation Loops*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

Shephard, M.S., Flaherty, J.E., Jansen, K.E., Li, X., Luo, X.-J., Chevaugeon, N., Remacle, J.-F., Beall, M.W. and O'Bara, R.M., *Adaptive mesh generation for curved domains*, J. for Applied Numerical Mathematics, 53(2-3) pp. 251-271, 2005.

Shephard, M.S., Seol, E., Wan, J. and Bauer, A.C., *Component-based adaptive control procedures*, Proceedings from the Conference on Analysis, Modeling and Computation of PDE and Multiphase Flow, Kluwer Academic Press, 2005.

Timothy J. Tautges, * The Common Geometry Module (CGM)*, SAND2004-6252, Sandia National Laboratories, Albuquerque, NM, December, 2004.

Timothy J. Tautges, Ray Meyers, Karl Merkley, Clint Stimpson, Corey Ernst, *MOAB: A Mesh-Oriented Database*, Sandia National Laboratories, SAND2004-1592, Albuquerque, NM, April 2004.

Timothy J. Tautges, *MOAB-SD: Integrated Structured and Unstructured Mesh Representation*, Engineering With Computers, 20:286-293 (2004).

Wan, J. and Shephard, M.S., *Contact Surface Control in Forming Simulations*, Proc. 8th US Nat. Congress on Comp. Mech., 2005.

Yin, L., Luo, X. and Shephard, M.S. *Identifying and meshing thin section of 3-d curved domains*, Proc. 14th International Meshing Roundtable, Springer, pp. 33-54, 2005.

## 2004

Beall, M.W., Walsh, J. and Shephard, M.S, *A comparison of techniques for geometry access related to mesh generation*, Engineering with Computers, 20(3), pp. 210-221, 2004.

Dahlgren, Tamara L. and Premkumar T. Devanbu, *Adaptable Assertion Checking for Scientific Software Components*, in Proceedings of the First International Workshop on Software Engineering for High Performance Computing System Applications, Edinburgh, Scotland, UK, May 24, 2004, pp 64-69. Also available as Lawrence Livermore National Laboratory, Technical Report UCRL-CONF-202898.

Datta, D., Picu, R.C. and Shephard, M.S., *Composite Grid Atomistic Continuum Method: An adaptive approach to bridge continuum with atomistic analysis*, Journal of Multiscale Computational Engineering, 2(3), pp. 401-420, 2004.

Y. Deng, J. Glimm, J. Davenport, X. Cai, and E. Santos, *Performance models on QCDOC for molecular dynamics with coulomb potentials*, International Journal of High Performance Computing Applications, 18 (2004), pp. 183--198. SUNYSB-AMS-00-04.

S. Dutta, E. George, J. Glimm, J. Grove, H. Jin, T. Lee, X. Li, D. H. Sharp, K. Ye, Y. Yu, Y. Zhang, and M. Zhao, *Shock wave interactions in spherical and perturbed spherical geometries*, 2004. In Press; University at Stony Brook preprint number SB-AMS-04-09 and LANL report No. LA-UR-04-2989.

S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang, *Error comparison in tracked and untracked spherical simulations*, Computers and Mathematics with Applications, 48 (2004), pp. 1733--1747. University at Stony Brook preprint number AMS-03-10 and LANL report No. LA-UR-03-2920.

S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang, *Spherical Richtmyer-Meshkov instability for axisymmetric flow*, Mathematics and Computers in Simulations, 65 (2004), pp. 417--430. University at Stony Brook preprint number AMS-03-13.

Ge, L., Lee, L, Zenghai, L., Ng, C., Ko, K., Luo, Y and Shephard, M.S., *Adaptive Mesh Refinement for High Accuracy Wall Loss Determination in Accelerating Cavity Design*, IEEE Conf. on Electromagnetic Field Computations, June, 2004.

J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, and M. Zhao, *Statistical riemann problems and a composition law for errors in numerical solutions of shock physics problems*, SISC, 26 (2004), pp. 666--697. University at Stony Brook Preprint Number SB-AMS-03-11, Los Alamos National Laboratory number LA-UR-03-2921.

J. Glimm, S. Hou, Y. Lee, D. Sharp, and K. Ye, *Sources of uncertainty and error in the simulation of flow in porous media*, Comp. and Applied Mathematics, 23 (2004), pp. 109--120. SUNYSB preprint 03-08. LANL preprint LA-UR-03-2328.

J. Glimm, H. Jin, and Y. Zhang, *Front tracking for multiphase fluid mixing*, in Computational Methods in Multiphase Flow II, A. A. Mammoli and C. A. Brebbia, eds., WIT Press, Southampton, UK, 2004, pp. 13--22.

Ives, L., Bui, T., Vogler, W., Bauer, A.; Shephard, M., and Beall, M., *Operation and performance of a 3D finite element charged particle code with adaptive meshing Source*, 5th IEEE Int. Vacuum Electronics Conf., IVEC 2004, pp. 316-317, 2004.

T. Lee, Y. Yu, M. Zhao, J. Glimm, X. Li, and K. Ye, *Error analysis of composite shock interaction problems*, Conference Proceedings of PMC04, (2004). University at Stony Brook Preprint Number SB-AMS-04-08.

Li, X., Remacle, J.-F., Chevaugeon, N. and Shephard, M.S., *Anisotropic Mesh Gradation Control"*, 13th International Meshing Roundtable, Sandia National Laboratories, SAND #2004-3765C, pp. 401-412, 2004.

T. Lu, R. Samulyak, and J. Glimm, *Direct numerical simulation of bubbly flows and its applications*, Phys. Fluids, (2004). Submitted.

Luo, X.-J., Shephard, M.S., O'Bara, R.M., Nastasia, R. and Beall, M.W., *Automatic p-version mesh generation for curved domains*, Book of Abstracts: ICOSAHOM 4004, Brown University, June, 2004.

Luo, X.-J., Shephard, M.S., O'Bara, R.M., Nastasia, R. and Beall, M.W., *Automatic p-version mesh generation for curved domains*, Engineering with Computers, 20(3), pp. 273-285, 2004.

Rieben, White, Rodrigue, *High Order Symplectic Integration Methods for Finite Element Solutions to Time Dependent Maxwell Equations*, to appear in IEEE Transactions on Antennas and Propagation, submitted 2004.

Schroeder, W.J. and Shephard, M.S. *Computational Visualization*, Chapter 18, Encyclopedia of Computational Mechanics - Vol.1: Fundamentals, E. Stein, R. DeBorst and T.J.R. Hughes, eds, 2004.

Shephard, M.S., Beall, M.W., O'Bara, R.M. and Webster, B.E., *Toward simulation-based design*, Finite Elements in Analysis and Design, 40, pp. 1575-1598, 2004.

Shephard, M.S., Beall, M.W and Webster, B.E., *Supporting Simulations to Guide Engineering Design*, AIAA-2004-4448, AIAA, Richmond, VA, 2004.

Timothy J. Tautges, * The Common Geometry Module (CGM)*, SAND2004-6252, Sandia National Laboratories, Albuquerque, NM, December, 2004.

Timothy J. Tautges, Ray Meyers, Karl Merkley, Clint Stimpson, Corey Ernst, *MOAB: A Mesh-Oriented Database*, Sandia National Laboratories, SAND2004-1592, Albuquerque, NM, April 2004.

Timothy J. Tautges, *MOAB-SD: Integrated Structured and Unstructured Mesh Representation*, Engineering With Computers, 20:286-293 (2004).

## 2003

S. I. Abarzhi, J. Glimm, and A. D. Lin, *Dynamics of the Rayliegh-Taylor bubbles for fluids with a finite density contrast*, Laser and Particle Beams, (2003).

S. I. Abarzhi, J. Glimm, and A. D. Lin, *Rayleigh-Taylor instability for fluids with a finite density contrast*, Phys. Fluids, 15 (2003), pp. 2190--2197.

S. I. Abarzhi, J. Glimm, and K. Nishihara, *Rayleigh-Taylor instability and Richtmyer-Meshkov instabilities for fluids with a finite density contrast*, Phys. Lett. A, 11 (2003), pp. 1--7.

Beall, M.W., Walsh, J. and Shephard, M.S., *A comparison of techniques for geometry access related to mesh generation*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 62, 2003.

Beall, M.W., Walsh, J. and Shephard, M.S., *Accessing CAD geometry for mesh generation*, 12th International Meshing Roundtable, Sandia National Laboratories, SAND-2003-3030P, pp. 33-42, 2003.

Brewer, M. Diachin, L., Leurent, T. and Melander, D., *The Mesquite Mesh Quality Improvement Toolkit,* p239-250, Proceedings of the 12^{th} International Meshing Roundtable, Santa Fe NM, 2003.

K.K. Chand, *Component Based Hybrid Mesh Generation*, submitted to the International Journal for Numerical Methods in engineering, UCRL-JC-150594, 2003.

B. Cheng, J. Glimm, H. Jin, and D. H. Sharp, *Theoretical methods for the determination of mixing*, Laser and Particle Beams, 21 (2003), pp. 429--436.

Chevaugeon, N., Flaherty, J.E., Krivodonova, L., Remacle, J.-F. and Shephard, M.S., *Adaptive and parallel discontinuous Galerkin method for hyperbolic conservation law*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 448, 2003.

Chevaugeon, N., Remacle, J.-F., Flaherty, J.E., Cler, D. and Shephard, M.S., *Application of discontinuous Galerkin method. Large scale problem: Cannon blast modeling*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 470, 2003.

Cler, D.L., Chevaugeon, N., Shephard, M.S., Flaherty, J.E. and Remacle, J.-F., *CFD application to gun muzzle blast - A validation case study*, 41st AIAA Aerospace Sciences Meeting and Exhibit, Jan. 2003.

Datta, D., Picu, C. and Shephard, M.S., *Multiscale simulation of defects using multigrid atomistic continuum method*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 814, 2003.

J. Davenport, Y. Deng, and J. Glimm, *Global communication schemes on QCDOC*, International Journal of High Performance Computing Applications, (2003). Submitted.

J. W. Davenport, Y. Deng, and J. Glimm, *Computational science at Brookhaven National Laboratory: Three selected topics*, (2003). University at Stony Brook preprint number AMS-03-12.

V.F. de Almeida, *An Iterative Phase-Space Explicit Discontinuous Galerkin Method for Stellar Radiative Transfer in Extended Atmospheres*, Oak Ridge National Laboratory ORNL/TM-2003-72.

Dey, S., Couchman L., Datta, D. and Shephard, M.S., *Error and convergence of p-refinement schemes for elastodynamics and coupled elasto-acoustics*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 517, 2003.

S. Dutta, E. George, J. Glimm, X. L. Li, A. Marchese, Z. L. Xu, Y. M. Zhang, J. W. Grove, and D. H. Sharp, *Numerical methods for the determination of mixing*, Laser and Particle Beams, 21 (2003), pp. 437--442. LANL report No. LA-UR-02-1996.

S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang, *A fast algorithm for moving interface problems*, in Computational Science and Its Applications - ICCSA 2003, LNCS 2668, V. K. et al., ed., Springer-Verlag, Berlin Heidelberg, 2003, pp. 782--790. LANL report No. LA-UR-02-7895.

Paul Fischer, Frederic Hecht, and Yvon Maday, *A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations*, Proc. Of the 15th Int. Conf. on Domain Decomposition Methods, Berlin, 2003.

P.F. Fischer and J.W. Lottes, *Hybrid* *Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes*, Proc. Of the 15th Int. Conf. on Domain Decomposition Methods, Berlin, 2003.

Folwell, N. and Knupp, P. *Increasing Tau3P Abort-Time via Mesh Quality Improvement*, p379-392, Proceedings of the 12th International Meshing Roundtable, Santa Fe NM, 2003.

E. George, J. Glimm, J. W. Grove, X. L. Li, Y. J. Liu, Z. L. Xu, and N. Zhao, *Simplification, conservation and adaptivity in the front tracking method*, in Hyperbolic Problems: Theory, Numerics, Applications, T. Hou and E. Tadmor, eds., Springer Verlag, Berlin and New York, 2003, pp. 175--184.

F. X. Giraldo, J. B. Perot and P. F. Fischer, *A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations,*'' J. of Comp. Phys., 190 2, pp. 623-650 (2003).

J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, and M. Zhao, *Error analysis for shock interactions*, University at Stony Brook (Preprint number SB-AMS-03-14; LANL Preprint number LA-UR-03-6266), 2003.

J. Glimm, S. Hou, Y. Lee, D. Sharp, and K. Ye, *Solution error models for uncertainty quantification*, Contemporary Mathematics, 327 (2003), pp. 115--140. SUNYSB preprint 02-16. LANL preprint LA-UR: 02-5987.

J. Glimm, H. Jin, M. Laforest, F. Tangerman, and Y. Zhang, *A two pressure numerical model of two fluid mixing*, SIAM J. Multiscale Model. Simul., 1 (2003), pp. 458--484.

J. Glimm, Y. Lee, D. H. Sharp, and K. Q. Ye, *Prediction using numerical simulations, A Bayesian framework for uncertainty quantification and its statistical challenge*, in Proceedings of the Fourth International Symposium on Uncertainty Modeling and Analysis (ISUMA 2003), B. M. Ayyub and N. O. Attoh-Okine, eds., IEEE, Computer Society, 2003.

J. Glimm, X.-L. Li, Y.-J. Liu, Z. L. Xu, and N. Zhao, *Conservative front tracking with improved accuracy*, SIAM J. Numerical Analysis, 41 (2003), pp. 1926--1947.

J. Glimm, X. L. Li, W. Oh, A. Marchese, M.-N. Kim, R. Samulyak, and C. Tzanos, *Jet breakup and spray formation in a diesel engine*, in Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, 2003. SUNY Stony Brook preprint No. susb-ams-02-20.

J. Glimm, X.-L. Li, and Z.-L. Xu, Front *tracking algorithm using adaptively refined meshes*, in Proceedings of the 2003 Chicago Workshop on adaptive Mesh Refinement Methods, 2004. the Lecture Notes in Computational Science and Engineering, ISSN: 1439-7358.

Hu, P., Chevaugeon, N., Flaherty, J.E. and Shephard, M.S., *Modelizations of moving object in a fluid flow using level set*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 288, 2003.

H. Jin, J. Glimm, and D. H. Sharp, Two*-pressure two-phase flow models*, ZAMP, (2003). Submitted. Stony Brook University Preprint number SUNYSB-AMS-03-16 and Los Alamos National Laboratory LAUR Number LA-UR-03-7279.

L. Li, J. Glimm, and X.-L. Li, *All isomorphic distinct cases for multi-component interfaces in a block*, J. Comp. Appl. Mathematics, 152 (2003), pp. 263--276.

Li, X, Shephard, M.S. and Beall, M.W., *General mesh adaptation using mesh modifications*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 17, 2003.

Li, X., Shephard, M.S. and Beall, M.W., *Accounting for curved domains in mesh adaptation*, International Journal for Numerical Methods in Engineering, 58, pp. 246-276, 2003.

Luo, Y., Malik, I., Li, Z., Shephard, M.S. and Ko, K., *Adaptive mesh refinement in accelerator modeling with OMEGA3P*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 50, 2003.

Macri, M., De, S. and Shephard, M.S., *Hierarchical tree-based discretization for the method of spheres*, Computers and Structures, 81(8-11), pp. 789-803, 2003.

Mika, D., Myers, P., Majorell, A., Jiang, L., Kocak, S., Wan, J. and Shephard, M.S., *Alloy 718 extrusion modeling - unstable flow and mesh enrichment*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 342, 2003.

Mueller, J, Nagrath,S., Li, X., Jansen, J.E. and Shephard, M.S., *Efficient computational methods for the investigation of vascular disease*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 195, 2003.

Remacle, J.-F., Flaherty, J.E. and Shephard, M.S., *An adaptive discontinuous Galerkin technique with an orthogonal basis applied compressible flow problems*, SIAM Review, 45(1), pp. 53-72, 2003.

Remacle, J.-F. and Shephard, M.S., *An algorithm oriented mesh database*, International Journal for Numerical Methods in Engineering, 58, pp. 349-374, 2003.

R. Samulyak, T. Lu, J. Glimm, X. L. Li, and P. Spentzouris, *Numerical simulation of PMT implosion effects in minibooNE*, Brookhaven National Laboratory Tech Report, 2003.

N. Stojic, J. W. Davenport, M. Komelj, and J. Glimm, *Surface magnetic moment in $\alpha$-uranium by density-functional theory*, Phys. Rev. B, 68, 094407 (2003), p. (5 pages).

Timothy J. Tautges, *MOAB-SD: Integrated Structured and Unstructured Mesh Representation*, 6th U.S. Congress on Computational Mechanics, Trends in Unstructured Mesh Generation, Albuquerque, NM, July 28-30, 2003.

S. J. Thomas, J. M. Dennis, H. M. Tufo, and P. F. Fischer, *A Schwarz Preconditioner for the Cubed-Sphere*, SIAM J. Sci. Comp., Vol. 25, No. 2, pp 442-453 (2003).

J. Walter, D. Yu, B. J. Plohr, J. Grove, and J. Glimm, *An algorithm for Eulerian front tracking for solid deformation*, SIAM J. Sci. Comput., (2003). to appear.

Wan, J., Kocak, S. and Shephard, M.S., *Automated adaptive forming simulations*, 12th International Meshing Roundtable, Sandia National Laboratories, SAND-2003-3030P, pp. 323-334, 2003.

Wan, J., Kocak, S. and Shephard, M.S., *Controlled mesh enrichments for evolving geometries*, Proc. 7th US Nat. Congress on Comp. Mech., ISBN: 0-9743254-0-6, pp. 42, 2003.

Zeghal, M., El Shamy, U., Shephard, M.S., Dobry, R., Fish, J, and Abdounm T, *Micro-mechanical analysis of saturated granular soils*, Journal of Multiscale Computational Engineering, 1(4), pp. 441-460, 2003.

## 2002

**Center Materials**

*The SC02 TSTT Brochure* [pdf]

**Technical Papers**

Adjerid, S., Devine, K.D., Flaherty, J.E. and Krivodonova, L. *A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems,* Computer Methods in Applied Mechanics and Engineering, 191 (2002), 1997--1112.

Brown, D. L., Lori Freitag and James Glimm, *Creating interoperable meshing and discretization software: the Terascale Simulation Tools and Technology (sic) Center*, Proceedings of the Eighth International Conference on Numerical Grid Generation in Computational Field Simulations, Waikiki Beach Marriott Resort, Honolulu, Hawaii , June 2-6, 2002.

S. Dutta, E. George, J. Glimm, X. L. Li, A. Marchese, Z.-L. Xu, Y.-M. Zhang, *Numerical Methods for the Determination of Mixing*, Submitted to the 8th International Workshop on Physics of Compressible Turbulent Mixing, 2002.

J.B. Drake, D.X. Guo, and Ahmed Khamayseh. *Smooth Grid Transformations with Spectral Methods for Shallow Water Equations* (in preparation)

Fann, G., Trease, H., and Trease, L., *Scalable Boundary Grid Generation using Image Processing and CFD-based Methods*, Submitted to SC2002.

Flaherty, J.E., Krivodonova, L., Remacle, J.-F. and Shephard, M.S., *Aspects of discontinuous Galerkin methods for hyperbolic conservation laws* Finite Elements in Analysis and Design, 38:889-908, 2002.

Flaherty, J.E., Krivodonova, L., Remacle, J.F. and Shephard, M.S., *High-order adaptive and parallel discontinuous Galerkin methods for hyperbolic systems*, WCCM V: Fifth World Congress on Computational Mechanics, Vienna Univ. of Tech, Vienna, Austria, p. 1:144, 2002.

L. Freitag, T. Leurent, P. Knupp, and D. Melander, *MESQUITE Design: Issues in the Development of a Mesh Quality Improvement Toolkit*, p159-168, Proceedings of the 8th Intl. Conference on Numerical Grid Generation in Computational Field Simulations, Honolulu, 2002.

E. George, J. Glimm, X. L. Li, A. Marchese and Z.-L. Xu, *A Comparison of Experimental, Theoretical and Numerical simulation Rayleigh-Taylor Instability*, Proc. National Academy of Sci., Vol. 99, 5, pp. 2587-2592, 2002.

E. George, J. Glimm, J. W. Grove, X. L. Li, Y. J. Liu, Z. L. Xu and N. Zhao),*Simplification, Conservation and Adaptivity in the Front Tracking Method*, Submitted to Proceedings of the Ninth International Conference on Hyperbolic Problems Theory, Numerics, Applications, 2002.

J. Glimm, X. L. Li and A. Lin, *Nonuniform approach to terminal velocity for single mode Rayleigh-Taylor instability*, ACTA MATHEMATICAE APPLICATAE SINICA, 18, pp. 1-8, 2002.

J. Glimm, X. L. Li and Y.-J. Liu, *Conservative Front Tracking in One Dimension*, Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment, Contemprary Mathematics, Edited by Z.-X. Chen and R. Ewing, American Mathematical Society, 295, pp. 253-264, 2002.

J. Glimm, J. W. Grove, X. L. Li, Y.-J. Liu and Z.-L. Xu, *Unstructured grids in 3D and 4D for a time-dependent interface in front tracking with improved accuracy*, Submitted to Proceedings of the 8th International Conference on Numerical Grid Generation in Computational Field Simulation, 2002.

W.D. Henshaw, *Generating Composite Overlapping Grids on CAD Geometries*, Numerical Grid Generation in Computational Field Simulations, June 2002.

W.D. Henshaw , *An Algorithm for Projecting Points onto a Patched CAD Model*, Engineering with Computers, 18, pp 265-273, 2002. [pdf]

Ahmed Khamayseh and Andrew Kuprat, *Hybrid Curve Point Distribution Algorithms*, SIAM Journal on Scientific Computing, vol. 23, pp. 1464-1484 (2002).

Ahmed Khamayseh, Andrew Kuprat, and Paul Henning. *Deterministic Point Inclusion Methods For Boundary Representation Models*, SIAM Journal on Scientific Computing, (submitted 2002).

Ahmed Khamayseh and Sami Bayyuk. *Gradient-Weighted Adaptive Hybrid Mesh Optimization* (in preparation).

Krivodonova, L. and Flaherty, J.E., *Error estimation for discontinuous Galerkin solutions of multidimensional hyperbolic problems,* Advances in Computational Mathematics, 2002, to appear.

Li, X., Shephard, M.S. and Beall, M.W., *Accounting for curved domains in mesh adaptation*, International Journal for Numerical Methods in Engineering, 2002.

Luo, X., Shephard, M.S., Remacle, J.-F., O.-F., Bara, R.M., Beall, M.W., Szab, B.A. and Actis, R., *p-Version Mesh Generation Issues*, 11th International Meshing Roundtable, 2002.

Luo, X., Shephard, M.S. and Remacle, J.-F., *The Influence of Geometric Approximation on the Accuracy of High Order Methods*, Proc. 8th International Conference on Numerical Grid Generation in Computational Field Simulations, Miss. State University, 2002.

Norris, B., S. Balay, S. Benson, L. Freitag, P. Hovland, L. McInnes, and B. Smith, *Parallel Components for PDEs and Optimization: Some Issues and Experiences*, to appear in Parallel Computing. 2002.

Remacle, J.-F., Klass, O., Flaherty, J.E. and Shephard, M.S., *A parallel algorithm oriented mesh database*, to appear Engineering with Computers, 2002.

Remacle, J.-F. and Shephard, M.S., *An algorithm oriented mesh database*, to appear International Journal for Numerical Methods in Engineering, 2002.

Remacle, J.-F., Shephard, M.S. and Flaherty, J.E., *Some issues on distributed mesh representations*, Proc. 8th International Conference on Numerical Grid Generation in Computational Field Simulations, Miss. State University, 2002.

Remacle, J.F., Klaas, O. and Shephard, M.S., *Trellis: A framework for adaptive numerical analysis based on multiparadigm programming in C++*, WCCM V: Fifth World Congress on Computational Mechanics, Vienna Univ. of Tech, Vienna, Austria, p. 1-164, 2002.

Remacle, J.-F., Li, X, Chevaugeon, N. and Shephard, M.S., *Transient mesh adaptation using conforming and non-conforming mesh modifications*, 11th International Meshing Roundtable, 2002.

Shephard, M.S., Luo, X. and Remacle, J.F., *Meshing for p-version finite element methods*, WCCM V: Fifth World Congress on Computational Mechanics, Vienna Univ. of Tech, Vienna, Austria, p. 1-464, 2002.

Timchalk, C., Trease, H.E., Trease, L.L., Minard, K.R., and Richard A., *Potential Technology for Studying Dosimetry and Response to Airborne Chemical and Biological Pollutants*, To be submitted 2002.

Thomas, S.J., J.M. Dennis, H.M. Tufo, and P.F. Fischer, *A Schwarz preconditioner for the cubed-sphere*. Proceedings of the Copper Mountain Conference On Iterative Methods, 2002.

Trease, H., Trease, L., Fowler, J., Corley, R., Timchalk, C., Minard, K., and Rommeriem, D., *A Case Study: Extraction, Image Reconstruction, And Mesh Generation From NMR Volume Image Data From F344 Rats For Computational Biology Applications*, 8th International Conference on Grid Generation and Computational Physics, 2002.

## 2001

**Center Materials**

*The Terascale Simulation Tools and Technology Executive Summary*: a two page document summarizing the goals and research objectives of the TSTT center. [doc]

*The Terascale Simulation Tools and Technology Proposal* [doc]

**Technical Papers**

B. Cheng, J. Glimm, X. L. Li and D. H. Sharp, *Subgrid Models and DNS Studies of Fluid Mixing*, Proceedings of the 7th International Conference on the Physics of Compressible Turbulent Mixing, Edited by E. Meshkov, Y. Yanilkin and V. Zhmailo, pp. 385-390, 2001.

P. Fast and W.D. Henshaw, *Applications involving moving grids and adaptive mesh refinement on overlapping grids*, proceedings of the AIAA Conference on Applied Aerodynamics, June 2001.

J. Glimm, X. L. Li, Y. J. Liu and N Zhao), *Conservative Front Tracking and Level Set Algorithms*, Proc. National Academy of Sci., Vol. 98, 25, pp. 14198-14201, 2001.

J. Glimm, X. L. Li and Y.-J. Liu, *Conservative Front Tracking in Higher Space Dimensions* Proceeding of International Workshop on Computational Methods for Continuum Physics and Their Applications, Transaction of NUAA, vol. 18, pp. 1-15, 2001. Submitted for Publication

J. Glimm, X. L. Li, Y.-J. Liu and Z. L. Xu, *Conservative Front Tracking with Improved Accuracy*, Submitted to SIAM J. Num Anal., 2001.

W.D. Henshaw, *An Algorithm for Projecting Points onto a Patched CAD Model*,Proceedings of the 10th International Meshing Roundtable, October 2001

W.D. Henshaw, *Overture: an object-oriented framework for overlapping grid applications*, Proceedings of the AIAA Conference on Applied Aerodynamics, June 2001.

Andrew Kuprat and Ahmed Khamayseh, *Volume Conserving Smoothing for Piecewise Linear Curves, Surfaces, and Triple Lines*, Journal of Computational Physics, vol. 172, pp. 99-118 (2001).

Neiplocha, J., Trease, H.E., Palmer, B. J., Rector, D.R. (2001). *Building an Application Domain Specific Programming Framework for Computational Fluid Dynamics Calculations on Parallel Computers*. Tenth SIAM Conference on Parallel Processing for Scientific Computing, March 12-14, 2001.

Peterson, N. A. and Kyle K. Chand, *Detecting translation errors in CAD surfaces and preparing geometries for mesh generation*, Proceedings of 10th Annual Meshing Round Table, Newport Beach CA, October 2001.

Remacle, J.-F., Shephard, M.S., Flaherty, J.E. and Klaas, O., *Parallel Algorithm oriented mesh database*, Proc. 10th International Meshing Roundtable, Report No. SAND 2001-2976C, pp. 341-349, 2001.

Remacle, J.-F., Flaherty, J.E. and Shephard, M.S., *An efficient local time stepping scheme for transient adaptive calculations*, submitted Comp. Meth. Appl. Mech. Engng., 2001.

Remacle, J.-F., Pinchedez, K,. Flaherty, J.E., and Shephard, M.S, *An efficient local time stepping-discontinuous Galerkin scheme for adaptive transient computations*, Computer Methods in Applied Mechanics and Engineering, 2001, submitted.