Discipline: Mathematics and Statistics
Subcategory: Mathematics and Statistics
Marshall D. Mullins - Central State University
Co-Author(s): Bakari-Akil D Levy, Central State University, Wilberforce, OH
A glacier is a slow-moving river of ice. Therefore, we can say that the glacier behaves like a viscous material with a large viscosity. As described in [1] we can model the glacier using a set of equations. Those equations can be solved using central schemes [2]. The central schemes [3] are an advanced version of Lax-Friedrichs scheme. In this research, we use a central scheme to simulate a one-dimensional glacier growth model.
[1] A.C. Fowler, Glaciers and ice sheets, in The Mathematics of Models for Climatology and Environment, edited by J. I. Diaz, NATO ASI Series, Vol. 48 (Springer-Verlag, Berlin/New York, 1996), p. 302.
[2] A. Kurganov and E. Tadmor, New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations, Journal of Computational Physics, 160 (2000), pp.241-282.
[3] F. Pereira and A. Rahunanthan, A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions, Mathematics and Computers in Simulation, 81(10) (2011), pp. 2296-2306.
Not SubmittedFunder Acknowledgement(s): HBCU-UP (Award Abstract #1600818)
Faculty Advisor: Dr. Arunasalam Rahunanthan, aRahunanthan@centralstate.edu
Role: I understood the one-dimensional glacier model and simulated the model using C programming language.