GRANTS

1. National Science Foundation Research Opportunities for Women Award Aug. 1986 - Jan. 89. Grant No. DMS-8615203. Title: ``Stability and Bifurcation in Fluid Dynamics". Principal Investigator: Yuriko Renardy.

2. National Science Foundation Grant DMS-8720298 (Career Advancement Award, Research Opportunities for Women Program). Title: ``Stability and Bifurcation in Two-layer Shearing Flows''. Purpose: Visiting professorship, to collaborate with Prof. Daniel D. Joseph at the University of Minnesota for Sep. 1, 1988 - Nov. 30, 1989. Principal Investigator: Yuriko Renardy.

3. National Science Foundation Grant DMS - 8902166. Title: ``Stability and Bifurcation in Two-Layer Flows'', August 1, 1989 - January 31, 1992. Principal Investigator: Yuriko Renardy.

4. Office of Naval Research Mathematical Sciences Division Grant No. N00014-92-J-1664. Title: ``Nonlinear Stability Analyses in Fluid Dynamics'', June 1, 1992 - December 31, 1994. Principal Investigator: Yuriko Renardy.

5. National Science Foundation Grant CTS-9307238. Title: ``Interfacial Shapes in the Design of Composite Polymeric Materials'', September 15, 1993 - September 15, 1996. Principal Investigator: Yuriko Renardy.

6. 1995 AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences titled ``Analysis of Multi-Fluid Flows and Interfacial Instabilities'', University of Washington, Seattle, July 23-27. Chairman: Yuriko Renardy.

7. Office of Naval Research renewal of Grant No. N00014-92-J-1664, January 1, 1995 - December 31, 1997. Principal Investigator: Yuriko Renardy.

8. Office of Naval Research Grant No. N00014-95-1-0459, for the Annual Meeting of the Society of Natural Philosophy, titled ``Innovations in the analysis of nonlinear phenomena in continuum mechanics'', April 7-9, 1995, P. I. Bob Rogers, Yuriko Renardy, Michael Renardy.

9. National Science Foundation Division of Chemical and Transport Systems, CTS-9612308, titled ``Interfacial dynamics in bicomponent materials: viscous, viscoelastic and thermal effects'', 1997-2000. Principal Investigator: Yuriko Renardy.

10. National Science Foundation Division of Chemical and Transport Systems, Supplement to CTS-9612308, equipment, 1998.

11. National Science Foundation CBMS Regional Conference: Mathematical Analysis of Viscoelastic Flows. Grant DMS-9813241. Principal Investigator: David O. Olagunju. Co-principal Investigator: Yuriko Renardy. Submitted through the University of Delaware, June 19-23, 1999.

12. National Science Foundation U.S.-France Cooperative Research: Numerical Investigation of Two-Fluid Flows of Viscous Immiscible Fluids, NSF-INT 9815106, March 1, 1999- Feb 28, 2002. Principal Investigator: Yuriko Renardy. Co-PI: S. Zaleski (Paris VI), M. Renardy.

13. National Computational Science Alliance (NCSA) Origin 2000, Grant No. CTS990010N, Principal Investigator: Jie Li, Co-PI: Yuriko Renardy. 1/31/99-1/31/00. Start-Up: 4000.0 SU hours.

14. National Computational Science Alliance (NCSA) University of Illinois at Urbana-Champaign, Origin 2000, Grant No. CTS990059N, Principal Investigator: Yuriko Renardy, Co-PI: Jie Li. 11/17/99 - 11/30/2000. Project title: `Start-Up: Breakup of a viscous drop in a Bingham liquid'. 4000.0 SU hours.

15. National Computational Science Alliance proposal CTS990063N. Project title: `Numerical simulation of two-fluid flows: drop breakup and encapsulation', Origin2000. Principal Investigator: Yuriko Renardy. 12/15/99 - 12/31/2000. 40,000 SU hours.

16. American Chemical Society Petroleum Research Fund ACS-PRF 36109-AC. Project Title: Interfacial Dynamics in Pipeline Transportation of Two Viscous Liquids: Core-Annular Flows, Drops, and Encapsulation. July 1, 2000 - August 31, 2002. Graduate student funded: Mary Ann Clarke. Principal Investigator: Yuriko Renardy.

17. NSF-DMS Scientific Computing Research Environments for the Mathematical Sciences. 2000.

18. National Computational Science Alliance Supplement to `Numerical simulation of two-fluid flows: drop breakup and encapsulation', Origin2000. Principal Investigator: Yuriko Renardy. 33,800 SU hours. 10/1/00-9/30/01.

19. National Computational Science Alliance `Numerical simulation of two-fluid flows: drop breakup and encapsulation', Origin2000. Principal Investigator: Yuriko Renardy. 58,400 SU hours. -12/31/01.

20. National Science Foundation Chemical and Transport Systems. `Interfacial processing for emulsions: droplet breakup with inertia, non-Newtonian and surfactant effects'. NSF-CTS 0090381, 2001-2004. Principal Investigator: Yuriko Renardy.

21. National Computational Science Alliance `Numerical simulation of two-fluid flows: drop breakup and encapsulation', CTS000007N, Origin2000. Principal Investigator: Yuriko Renardy. 60,000 SU hours. 12/31/01-8/31/2003.

22. 2003-2008: I am part of the National Institute of Health Grant 1R25GM066534-01A1 (PI Edward J. Smith, Department of Animal and Poultry Science) Virginia Tech Post-baccalaureate Research and Education Program (PREP).

23. National Center for Supercomputing Applications, High Performance Computing Environment IBM P690, 10,000 SUs, DMS050002, 10/27/04 - 10/30/05. Title: The development of algorithms to investigate drop fragmentation under shear for viscoelastic liquids. P.I. Y. Renardy

24. National Science Foundation Mathematical Sciences Priority Area of the Division of Chemical and Transport Systems (CTS) and the Division of Mathematical Sciences DMS-0456086. ``The development and implementation of algorithms to investigate drop fragmentation under shear for viscoelastic liquids with surfactant". Principal Investigator: Yuriko Renardy. 6/15/2005-5/31/2009.

25. National Center for Supercomputing Applications, High Performance Computing Environment IBM P690, 10,000 SUs, CTS060022, 1/17/06 - 1/31/07. Title: The investigation of viscoelastic stresses in simulations of drop deformation under shear. P.I.: Y. Renardy.

26. NCSA grant TG - CTS060013N for 30,000 SU(Service Units), 6/7/2007-6/30/2008. Title: The influence of viscoelasticity on drop deformation in shear flow: transient deformation, orientation and break-up. P.I.: Y. Renardy.

27. NCSA renewal grant CTS060022 for 30,000 service units, 7/23/2008-7/22/2009. Title: Numerical investigation of drop deformation in shear flow of immiscible viscoelastic liquids. P.I.: Y. Renardy.

28. Title: Two-fluid dynamics in polymer processing, ferrohydrodynamics and electrowetting. TeraGrid Large Resource Allocations grant MCA08X019. 500,000 service units, 10/1/2008-9/30/2009. Principal Investigators: Yuriko Renardy and Shahriar Afkhami.

29. Title: Computational study of drop deformation in systems with two immiscible liquids. NSF-DMS 0907788. P.I. Yuriko Renardy and Pengtao Yue. 6/1/2009-5/31/2012.