Welcome To Pengtao Sun's Home!
  Home Personal Teaching Research Publications Presentations Projects

 

Useful Links

:: NSF-DMS

:: NSF Award

:: NSF Comp. Math.

:: Matrix-Solver Community (MSC)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 















 

 

 

 

 

 

 

 

 

 

 

 

 











 

 

 

 

 

 

 



 

 

 

 

 

 



 


 

 

 

 

 

 

 

 

 

 


 

Projects

      Ongoing Projects

  1. Novel Arbitrary Lagrangian-Eulerian Finite Element Method for Cardiovascular Fluid-Structure-Poroelastic Structure Interaction Problems, UNLV, supported by Simons Foundation Grant, 9/1/2020 – 8/31/2025.

  2. Fictitious domain method for moving interface problems including fluid-structure interaction (FSI), 2013-present.

  3. Arbitrary Lagrangian-Eulerian method moving interface problems including fluid-structure interaction (FSI) problems arising in hydrodynamics and hemodynamics, 2013-present.

   Participated Projects

  1. Advanced Modeling, Numerical Studies and Analysis of Fluid-Structure Interaction Problems, UNLV, supported by NSF Grant DMS-14188069/1/2014 – 8/31/2018.

  2. A full Eulerian finite element-phase field method for a fluid-structure interaction (FSI) problem, 2011-2013.

  3. Non-overlapping domain decomposition method for a two-phase transport model of PEM fuel cell with wet gas channels and micro-porous layers, UNLV, supported by NSF Grant DMS-0913757, 9/15/2009 – 8/31/2013.

  4. Fast numerical simulations of 3D hydrogen-type proton exchange membrane fuel cell (PEMFC), UNLV, supported by UNLV Research Grant, RDA 08–Sun, 7/18/2008 – 7/31/2009.

  5. Advanced Algorithms research, fast solver development and parallel finite element simulation on 3D direct methanol fuel cell (DMFC), with Jinchao Xu and Chaoyang Wang’s groups at Penn State, 2006-2007.

  6. Fuel Cell Vehicle and Powertrain System Engineering Technologies, College of Automotive Engineering, Tongji University, China, Summer 2008.

  7. Algorithms research and finite element simulation on 3D direct methanol fuel cell, with Chaoyang Wang’s group, Electrochemical Engine Center (ECEC), Penn State University, 2006.

  8. Adaptive finite element method for thin film flow, with Robert Russell, Simon Fraser University, Canada, 2005.

  9. 3D numerical simulation for Cahn-Hilliard equation derived from diblock copolymer, with Rustum Choksi, Simon Fraser University, Canada, 2004.

  10. Finite element simulation for PEM fuel cell, with Chaoyang Wang’s group, Electrochemical Engine Center (ECEC), Penn State University, 2003.

  11. Finite element simulation for black hole binary system, with Pablo Laguna, Department of Physics, Penn State University, 2003.

  12. Phase field method for the fingering of gel, with Chun Liu and Andrew L Belmonte, Department of Mathematics, Penn State University, 2003.

  13. Adaptive mesh method for convection dominated diffusion problem, with Long Chen and Jinchao Xu, Penn State University, 2002.

  14. CAD application in Shoes Design System, FEGEN Software Co. Ltd., Beijing, China, 2001.

  15. Online Finite Element Program Generator, FEGEN Software Co. Ltd., Beijing, China, 2001.

  16. Finite element computing of two-phase compressible displacement in porous media, Harbin Institute of Technology, Harbin, China, 2000.

  17. 3D computational fluid dynamics for coating die optimal designing, China Lucky Film Corporation, China, 2000.

  18. Stress analysis of pressure vessel, China National Standardization Committee on Pressure Vessel, Beijing, China, 1999.

  19. Parallel algorithms and software for domain decomposition finite element method, National Research Center for Intelligent Computing Systems, Beijing, China, 1999.

  20. Stability analysis of surrounding rock, China Institute of Water Resources and Hydropower Research, Beijing, China, 1998.

  21. Heat and material conduction on semiconductor chip, Motorola (China) Electronics Ltd., China, 1998.

  22. DDM with non-matching grids and its application on Basin Modeling with multi-fault and multiphase, Offshore Oil Exploration and Development  Research Center, China National Offshore Oil Corp., and Hong Kong Polytechnic University, Hong Kong, 1997.

      Typical Problems

  1. 3D CFD optimal design of coating die

  2. Anisotropic mesh adaptivity

  3. Black hole simulation

  4. Basin simulation of reservoir exploration

  5. Computer-aided optimal shoes design

  6. Convection dominated diffusion problem

  7. Elastic and plastic analysis for wall rock stability

  8. Fluid-structure interaction (FSI) problems

  9. Fluid-rotating structure interactions

  10. Fuel cell modeling

  11. Hemodynamic FSI (cardiovascular) simulations

  12. Cascaded filter deterministic lateral displacement (DLD) microchips for cell isolation

  13. Stress Analysis of pressure vessel

  14. Two phase flows

  15. Thin film flow with moving contacting lines

      Developed Software Packages

  1. Arbitrary Lagrangian-Eulerian finite element method for cardiovascular fluid-structure interactions.  

  2. Mixed finite element methods for hydro-turbine fluid-structure interaction problems.

  3. Adaptive Finite element simulation on thin film flow.

  4. Stress Analysis System for pressure vessel.

  5. 3D Computational Fluid System for optimal design of coating die.

  6. Basin Modeling System for reservoir exploration.

  7. Stability Analysis System for elastic and plastic deformation of wall rock.

  8. Shoes Design CAD System.

  9. Finite element simulation on fuel cell dynamics.

  10. Finite element simulation on black hole binary system.

  11. Finite element simulation with phase field method.

  12. Parallel finite element codes for domain decomposition method.

  13. Adaptive finite element codes with local refinement method.

  14. Adaptive finite element codes with moving mesh method.

  15. Geometric multigrid solver.

  16. Generic Finite Element Package.

   

Last updated: 07/30/2021

©2007 Pengtao Sun Math Department                                                                                         Home Personal Teaching Research PublicationsPresentationsProjects