Publications of Clarence Burg

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Journal Articles
  1. Burg, C. O. E., “Derivative-Based Closed Newton-Cotes Numerical Quadrature”, Applied Mathematics and Computation, Volume 218, Issue 13, March, 2012, pp. 7052-7065.

2.      Burg, C. O. E., and Erwin, T., “Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations”, Numerical Methods for Partial Differential Equations, Volume 25, Issue 4, July 2009, pp. 810-832.

3.      Burg, C. O. E., “Analytic Study of 2D and 3D Grid Motion Using Modified Laplacian”, International Journal of Numerical Methods in Fluids, Vol. 52, No. 2, Sept 2006, pp. 163-197.

4.      Burg, C. O. E., and Murali, V. K., “The Residual Formulation of the Method of Manufactured Solutions for Computationally Efficient Code Verification”, International Journal of Computational Fluid Dynamics, Vol. 20, No. 7, August 2006, pp. 521-532.

5.      Burg, C. O. E., and Newman, J. C., III, "Efficient Numerical Design Optimization Using Highly Accurate Derivatives via the Complex Taylor's Series Expansion Method," Computers and Fluids, 32:373-383, March. 2003.

6.      Burg, C. O. E.,"Groundwater Parameter Estimation via the Unsteady Adjoint Variable Formulation of Discrete Sensitivity Analysis," Communications in Numerical Methods in Engineering , 18:391-398, June, 2002.

7.      Burg, C. O. E., Huddleston, D. H., and Berger, R. C., "An Efficient, Robust Design Tool for Open-Channel Flow," ASCE Journal on Hydraulic Engineering, January, 2001, pp. 62-70.

Refereed Conference Papers

1.      Hackett, J. P., Burg, C. O. E., and Brewer, W. H., “Manufacturing Tolerance Effects on Ship Rudder Force/Cavitation Performance”, Proceedings of 2005 SNAME Maritime Technology Conference & Exposition and Ship Production Symposium Houston, Oct. 19-21, 2005.

2.      Burg, C. O. E. (1999), "Use of Discrete Sensitivity Analysis to Transform Explicit Simulation Codes into Design Optimization Codes" Electronic Journal of Differential Equations, Proceedings of 4th Mississippi State Univ. Conf. on Differential Equations and Computational Simulations http://ejde.math.swt.edu/conf-proc/03/toc.html.

Conference Proceedings

1.      Burg, C. O. E., and Erwin, T., “Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations in Two Dimensions”, AIAA Paper 2009-3653, 19th AIAA Computational Fluid Dynamics Conference, San Antonio, June, 2009.

2.      Burg, C. O. E., “CFD on the Sony PS3”, AIAA Paper 2009-4305, 39th AIAA Fluid Dynamics Conference, San Antonio, June, 2009.

3.      Burg, C. O. E., “Single-Phase Level Set Simulations for Unstructured Incompressible Flows”, AIAA Paper 2005-5350, 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, June, 2005.  PDF

4.      Burg, C. O. E., “Higher-Order Variable Extrapolation for Unstructured Finite Volume RANS Flow Solvers”, AIAA Paper 2005-4999, 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, June, 2005. PDF

5.      Burg, C. O. E., and Murali, V. K., “Efficient Code Verification Using the Residual Formulation of the Method of Manufactured Solutions”, AIAA Paper 2004-2628, 34th AIAA Fluid Dynamics Conference, Portland, Oregon, June, 2004.  PDF

6.      Burg, C. O. E., “A Robust Unstructured Grid Movement Strategy using Three-Dimensional Torsional Springs”, AIAA Paper 2004-2529, 34th AIAA Fluid Dynamics Conference, Portland, Oregon, June, 2004.  PDF

7.      Burg, C. O. E., and Nandihalli, S., “Approximation of Surfaces and Solution of Partial Differential Equations Using B-Splines”, AIAA Paper 2004-2230, 34th AIAA Fluid Dynamics Conference, Portland, Oregon, June, 2004.  PDF

8.      Burg, C. O. E., Sheng, C., Newman, J. C. III, Brewer, W., Blades, E., and Marcum, D. L., "Verification and Validation of Forces Generated by an Unstructured Flow Sovler", AIAA Paper 2003-3983, 16th AIAA Computational Fluid Dynamics Conference, Orlando, June, 2003.

9.      Burg, C. O. E., Marcum, D. L., "Moving Towards High-Fidelity RANS Calculations of Maneuvering Surface Vessels Using Unstructured Grids", Proceedings of 8th International Conference on Numerical Ship Hydrodynamics, Busan, Korea, Sept. 2003.  PDF

10.  Burg, C. O. E., Sreenivas, K., Hyams, D. G., and Mitchell, B., "Unstructured Nonlinear Free Surface Flow Simulations: Validation and Verification", AIAA Paper 2202-2977, 32nd AIAA Fluid Dynamics Conference, St. Louis, June, 2002.

11.  Murali, V., Burg, C. O. E., "Verification of 2D Navier-Stokes Codes by the Method of Manufactured Solutions," AIAA Paper 2002-3109, 32nd AIAA Fluid Dynamics Conference, St. Louis, June, 2002.

12.  Burg, C. O. E., Sreenivas, K., Hyams, D. G., and Mitchell, B., "Unstructured Nonlinear Free Surface Simulations for the Fully-Appended DTMB Model 5415 Series Hull Including Rotating Propulsors", Proceedings of 24th Symposium on Naval Hydrodynamics, Fukuoka, Japan, July, 2002.  PDF

13.  Huddleston, D. H., Burg, C. O. E., and Berger, R. C., "Coupling Nonlinear Optimization and Computational Simulation to Design Flood Control Channels," Advances in Hydroscience and Engineering, Vol. 3, 1998.

14.  Burg, C. O. E., Huddleston, D. H., and Berger, R. C.,"A Numerical Design Method for Open-Channel Flow," Water Resources Engineering, Memphis, TN, August, 1998. PDF

15.  Burg, C. O. E., "Using a Genetic Algorithm in Designing High-Velocity Drainage Channels," Southeast Conference on Theoretical and Applied Mechanics XIX, Boca Raton, FL, May, 1998.  PDF

Conference Presentations, not included above

1.      Burg, C. O. E., “Desktop Parallel CFD on Multicore Processors, 24th International Conference on Parallel Computational Fluid Dynamics, Atlanta, Georgia, May 22-25, 2012. 

2.      Burg, C. O. E, "Code Verification Using the Method of Manufactured Solutions," Fifth Mississippi State University Conference on Differential Equations and Computational Simulations, May 21-22, 2001.

3.      Burg, C. O. E., Huddleston, D. H., and Berger, R. C. "Efficient and Accurate Numerical Optimization via the Complex Taylor's Series Expansion Method," Finite Elements in Flow Problems 2000, Austin, Texas, May 2000.  PDF

4.      Burg, C. O. E., "Application of Discrete Sensitivity Analysis to Water Resource Applications," Finite Elements in Flow Problems 2000, Austin, Texas, May 2000.  PDF

5.      Burg, C. O. E., "Using Complex Arithmetic to Identify Groundwater Modeling Parameters," Tri-State Engineering Conference, Destin, Florida, June, 1999.  PDF

6.      Burg, C. O. E., "Use of Discrete Sensitivity Analysis to Transform Explicit Simulation Codes into Design Optimization Codes," Fourth Mississippi State University Conference on Differential Equations and Numerical Simulations, Starkville, MS, May, 1999.

Student Conference Presentations
  1. Womack, D., “Numerical Simulation of Population Distributions in Two Dimensions”, 28th Southeastern Atlantic Regional Conference on Differential Equations, Little Rock, AR, Oct, 2008.  
  2. Hereth, E., “A Numerical Solver for Burgers’ Equations in Two Dimensions”, 28th Southeastern Atlantic Regional Conference on Differential Equations, Little Rock, AR, Oct, 2008.  
  3. Erwin, T., “Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations”, 28th Southeastern Atlantic Regional Conference on Differential Equations, Little Rock, AR, Oct, 2008.  
  4. Brozak, M, and Burg, C. O. E., “Implementation of the Space Time Finite Volume Method on a One Dimensional Wave Maker”, Seventh Mississippi State – UAB Conference on Differential Equations and Computational Simulations, Birmingham, AL, Nov. 1-3, 2007.
  5. Erwin, T., and Burg, C. O. E., “Application of Richardson Extrapolation to the Two Dimensional Shallow Water Equations”, Seventh Mississippi State – UAB Conference on Differential Equations and Computational Simulations, Birmingham, AL, Nov. 1-3, 2007.
Technical Notes

1.      Burg, C. O. E., Huddleston, D. H., Berger, R. C., "A Computational Design method for High-Velocity Channels," Programming Environment and Training (PET) Program, U. S. Army Corps of Engineers Waterways Experiment Station, March, 1998.  PDF