Chris Cox

Research Interests

• Filtration and Separation Process Simulation

• Numerical Methods for Partial Differential Equations (especially finite element methods for fluid dynamics applications)

• Polymer Process Simulation

• Viscoelastic Flow Modeling

Links

• CV

• Seven Computational Science Problems Related to Shaped Polymer Fibers

• UTC ReSEARCH Dialogues Conference Proceedings 2020

• UTC Math Department

Recent Graduate Student Supervision

• White, J. (MS), “Model of Fluid Flow Through Shaped-Fiber Separations Columns”, (Clemson University, May 2012)

• Fuchs, A. (MS), “Characterization of Shaped-Fiber Separations Columns”, (CU, May 2012)

• Glick, M. (MS), “Computational Development of Chromatography Column Cross Sections“, (CU, May 2015)

• McIntyre, L. (MS), “Cross Flow Filtration Modeling Using Analytical and Numerical Solutions along with Implementation as a Web-Based Calculator”, (CU, December 2017)

Recent Courses Taught

• MATH 2560, Calculus with Analytic Geometry III, Spring 2021 (UTC)

• MATH 5600, Numerical Analysis I, Fall 2020 (UTC)

• MATH 1960, Calculus with Analytic Geometry II, Spring 2020, Fall 2020 (UTC)

• MATH 2060, Calculus of Several Variables, Summer 2015 (online, CU)

• MATH 2500, Introduction to Mathematical Sciences, Fall 2017 (CU)

• MATH 3650, Numerical Methods for Engineers, Spring 2016 (CU)

• MATH 8600, Scientific Computing, Spring 2013 (CU)

Other Courses Taught (CU)

• MATH 1060, Calculus of One Variable I

• MATH 2080 Ordinary Differential Equations

• MATH 3110, Linear Algebra

• MATH 3600, Intermediate Mathematical Computing

• MATH 4600/6600, Introduction to Numerical Analysis I

• MATH 4610/6610, Introduction to Numerical Analysis II

• MATH 8610, Advanced Numerical Analysis I (Numerical Linear Algebra)

• ChE 8450, Composite Materials (team-taught with colleague from Chemical and Biomolecular Engineering)

• MATH 9830/ChE 8450/ME 8930, Selected Topics in Computational Mathematics, (Fiber and Film Systems: Modeling and Simulation), (team-taught with colleague from Chemical and Biomolecular Engineering)

• MATH 9830, Selected Topics in Computational Mathematics, (Numerical Methods for PDE’s)

• MATH 9830, Selected Topics in Computational Mathematics, (Finite Element Methods)

Selected Publications

• T.F. Chen, C.L. Cox, H.C. Lee, and K.L. Tung, “Least-squares finite element methods for generalized Newtonian and viscoelastic flows”, Applied Numerical Mathematics, 60 1024-1040 (2010).

• N.H. Andreas and C.L. Cox, “New Cross Flow Filter Module Design Parameters: A Theoretical Analysis of Cross Flow Filter Performance Limits”, Filtration, 13(4), 247-256, (2013).

• N.H. Andreas, C.L. Cox, T. Kato, and M. Tamura, “A Model for Transient Cross Flow Filtration in a Narrow Rectangular Domain”, Separation and Purification Technology, 156 (1), 36-41. (2015).

• N.H. Andreas, C.L. Cox, L.P. McIntyre, M. Tamura, and K. Azuma, “Design Optimization of Regenerable Super HEPA Cross Flow Filters for Application on Spacecraft and Harvesting of Martian Atmospheric Carbon Dioxide”, ICES-2017-222, Proceedings of the 47th International Conference on Environmental Systems, 16-20 July 2017, Charleston, South Carolina.

• N.H. Andreas, C.L. Cox, A. Rao, M. Tamura, and K. Azuma, “Structure Property Relations of Carbon Nanofiber Mats: Correlation of Permeability to Surface Density”, ICES-2018-85, Proceedings of the 48th International Conference on Environmental Systems, 8-12 July 2018, Albuquerque, New Mexico.

• N.H. Andreas, C.L. Cox, M. Tamura, and K. Azuma, “Stainless Steel HEPA and SuperHEPA Cabin Environment Crossflow Filters for Deep Space Crewed Missions”, ICES-2019-87, Proceedings of the 49th International Conference on Environmental Systems, 7-11 July 2019, Boston.

Recent Funding

• “ERC-Small Business Collaborative Opportunity: Heat-Treatment of Multi-Component Nanofibers” (co-PI on $100,000 supplementary award from NSF through 3F, LLC), August, 2012-October, 2013.

• “Regenerable Cross Flow Filtration for Manned Missions to Mars”, (PI), SC Spacegrant/NASA EPSCoR, PTE Federal Award Number NNX15AL49H, Subaward Number 521179-RP-CMCox, June 2015-June, 2016, $19,500.

• “Materials Assembly and Design Excellence in South Carolina”, (MADE in SC), co-leader of Modeling and Computation Core, NSF EPSCoR Research Infrastructure Improvement Track-1 Program, $20,000,000 total, 5 years, Co-PI (6% Clemson team credit), awarded September 19, 2017.

• “Leveraging Partnerships to Increase the Number of Highly Qualified Mathematics and Computer Science Teachers, NSF Robert Noyce Teacher Scholarship Program, $74,948, 1 year, Co-PI (PI: Jennifer Ellis), August 2020-July 2021.