Emerging Researchers National (ERN) Conference

nsf-logo[1]

A Simulation Study of Central Schemes for Solving One Dimensional Hyperbolic Problems

Undergraduate #246
Discipline: Computer Sciences and Information Management
Subcategory:

Denzel White - Central State University
Co-Author(s): Damon Harper and Justice Mullins, Central State University, Wilberforce, OH


We need to solve hyperbolic problems in many science and engineering applications, such as flows through porous media and magneto-hydrodynamics. In solving such hyperbolic problems, high-resolution, non-oscillatory central schemes are efficient. The Lax-Friedrichs (LxF) scheme is the forerunner of all central differencing. The authors in [Pereira and Rahunanthan, 2011] presented a second-order central scheme. This scheme is in a simple semi-discrete form. The semi-discrete scheme is then solved by an appropriate time advancing scheme. In this research we use the scheme to solve a set of one dimensional problems. Numerical simulations will be presented in support of the study.

Funder Acknowledgement(s): NSF HBCU-UP (Award Abstract No.: 1016283)

Faculty Advisor: Arunasalam Rahunanthan, aRahunanthan@centralstate.edu

Role: With my co-authors, I have been simulating simple one-dimensional hyperbolic problems, such as Burgers' equation.

nsf-logo[1]

This material is based upon work supported by the National Science Foundation (NSF) under Grant No. DUE-1930047. Any opinions, findings, interpretations, conclusions or recommendations expressed in this material are those of its authors and do not represent the views of the AAAS Board of Directors, the Council of AAAS, AAAS’ membership or the National Science Foundation.