A two-dimensional floating random-walk algorithm for the solution of the nonlinear Poisson-Boltzmann equation: Application to the modeling of plasma sheaths

3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Volumn , Issue , 2005, Pages 1058-1061

  Chatterjee, K ^a   Poggie, J ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Floating random walk; Nonlinear Poisson Boltzmann equation; Plasma sheaths; Stochastic methods

Indexed keywords

APPLICATION AREA; FINITE DIFFERENCE; FLOATING RANDOM-WALK; ITERATIVE PERTURBATION THEORY; MESHLESS; NONLINEAR POISSON-BOLTZMANN EQUATION; NONLINEAR PROBLEMS; ONE DIMENSION; POISSON-BOLTZMANN; RANDOM WALK ALGORITHMS; STOCHASTIC METHODS; TWO-DIMENSION;

ALGORITHMS; BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; PLASMA SHEATHS; TWO DIMENSIONAL;

POISSON EQUATION;

EID: 80053445626     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. Kimmel RL, Hayes JR, Menart JA, Shang, J. Effect of surface plasma discharges on boundary layers at mach 5. AIAA Paper 2004-0509.
2. Le Coz YL, Greub HJ, Iverson RB. Performance of random- walk capacitance extractors for IC Interconnects: a numerical study. Solid-State Electronics 1998;42:581-588.
3. Hwang CO, Mascagni, M. Efficient modified 'walk on spheres' algorithm for the linearized Poisson-Boltzmann equation. App Phys Lett 2001;78(6):787-789.
4. Chatterjee K, Poggie J. A meshless stochastic algorithm for the solution of the nonlinear Poisson-Boltzmann equation in the context of plasma discharge modeling: 1D analytical benchmark. Submitted to 35th AIAA Fluid Dynamics Conference, Toronto, June, 2005.
5. Mitchner M, Kruger CH. Partially Ionized Gases, New York: J. Wiley, 1973.
6. Haberman R. Elementary Applied Partial Differential Equations. Third Edition, New Jersey, NY: Prentice Hall, 1998.