Guang Lin

PhD Student

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Academic Background:

Research:

Modelling uncertainty in compressible and MHD flow.

        High order numerical methods for stochastic problems.

• Generalized polynomial chaos.
• Multi-element generalized polynomial chaos.
• Multi-element probabilistic collocation method on sparse grids.

        Benchmark problems:

• Stochastic piston problem.
• Stochastic random inflow and random oscillation in supersonic flow.
• Lift enhancement due to stochastic roughness in supersonic flow past a wedge.
• Stochastic simulations of supersonic flow past a rough cone.

Stochastic perturbation analysis.

Discontinuous Galerkin spectral/hp methods.

Large-scale parallel scientific computing.

High order MHD simulations and divergence cleaning techniques.

High order finite-element and spectral methods for PDE.

High order numerical methods (ENO, WENO) for conservation laws.

Numerical simulations of micro-scale flows (MEMS).

Publications and Preprints in Refereed Journals:

Conference Publications:

G. Lin, C.-H. Su and G.E. Karniadakis, Roughness can enhance lift, 45th AIAA Aerospace Sciences Meeting and Exhibit, January 2007, Reno, NV.

 

G. Lin, C.H. Su and G.E. Karniadakis, Modeling uncertainties in supersonic flow past a wedge, AIAA-2006-0124, 44th  AIAA Aerospace Sciences Meeting and Exhibit, January 2006, Reno, NV.

   Adobe PDF (1036 kb) [pdf]

G. Lin, C.H. Su and G.E. Karniadakis, Stochastic solvers for the Euler equations, AIAA-2005-0873, 43rd  AIAA Aerospace Sciences Meeting and Exhibit, January 2005, Reno, NV.

   Adobe PDF (1036 kb) [pdf]

G. Lin and G. E. Karniadakis, High-order modeling of micro-pulsed plasma thrusters, AIAA-2002-2872, 3rd AIAA Theoretical Fluid Mechanics Meeting, June 2002, St. Louis, Missouri.

   Adobe PDF (3545 kb) [pdf]

G. Lin and G. E. Karniadakis, A high-order discontinuous Galerkin method for modeling micro-pulsed thrusters, 27th International Electric Propulsion Conference, October 2001, Pasadena, CA.

    Adobe PDF (366 kb) [pdf]

Conferences:

  Invited Speaker:

Speaker: Guang Lin, Topic: Roughness can Enhance Lift, will be presented at the 45th AIAA Aerospace Sciences Meeting and Exhibit, January 8-11 2007, Reno, NV.

Speaker: Guang Lin, Topic: Stochastic Analysis and Simulation of Random Roughness in Shock Dynamics, presented at SIAM Annual Meeting July 10-14, 2006, Boston, MA.

Speaker: Guang Lin, Topic: Modeling Uncertainties in Supersonic Flow Past a Wedge, presented at the 44th AIAA Aerospace Science Meeting and Exhibit, January 9-12, 2006, Reno, NV.

Speaker: Guang Lin, Topic: Stochastic Solvers for the Euler Equations, presented at the 43rd AIAA Aerospace Science Meeting and Exhibit, January 10-13, 2005, Reno, NV.

Speaker: Guang Lin, Topic:  A Discontinuous Galerkin Method for Two-Temperature Plasmas, presented at the Mini-Symposium on Discontinuous Galerkin Methods for Computational Mechanics, the 7th US National Congress on Computational Mechanics, July 27-31, 2003, Albuquerque, NM.

Speaker: Guang Lin, Topic: High-order Modeling of Micro-pulsed Plasma Thrusters, presented at the 3rd AIAA Theoretical Fluid Mechanics Meeting, June 24-26, 2002, St. Louis, Missouri.

Speaker: Guang Lin, Topic: A High-Order Discontinuous Galerkin Method for Modeling Micro-Pulsed Plasma Thrusters, presented at the 27th International Electric Propulsion Conference, October 15-19, 2001, Pasadena, CA.

 Participant:

2006 SPDE workshop on advances and challenges in the solution of stochastic partial differential equation, October 20-22, 2006, Brown University, Providence, RI.

Introduction to the Cray XT3 Workshop, August 9-12, 2005, Pittsburgh Supercomputer Center, Pittsburgh, PA.

The 6th International Conference on Spectral and High Order Methods (ICOSAHOM), June 21-25, 2004, Brown University, Providence, RI.

The 18th International Conference on the Numerical Simulation of Plasmas (ICNSP), September 7-10, 2003, Falmouth, MA.

Work and Teaching Experience

Graduate Research Assistant                                 Sept. 2000 -- Present                                            Center for Fluid Mechanics, Brown University.

Teaching Assistant                                                 Sept. 2004 -- Dec. 2004
Division of Applied Mathematics, Brown University.
Course title: AM117 Introduction to Numerical Analysis Undergraduate and Graduate Course

Computer Teaching Assistant                                 Sept. 2004 -- Dec. 2004
Division of Applied Mathematics, Brown University.
Description: in charge of programming assistance for all Applied Mathematics courses.

Teaching Assistant                                                  Jan. 2004 -- May. 2004
Division of Applied Mathematics, Brown University.
Course title: AM65 Essential Statistics  Undergraduate Course

Professional Affiliations:

Member, The American Mathematical Society.

Member, The Society for Industrial and Applied Mathematics.

Member, The American Institute of Aeronautics and Astronautics.

Reviewer:

Journal of Computational Physics.

Awards:

Ostrach Fellowship, Division of Applied Math, Brown University, Fall 2005.

Computer Skills: