Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
Luke, Edward A.
Committee Member
Soni, Bharat K.
Committee Member
Cinnella, Pasquale
Date of Degree
12-14-2001
Document Type
Graduate Thesis - Open Access
Major
Computational Engineering (Program)
Degree Name
Master of Science
College
College of Engineering
Department
Computational Engineering Program
Abstract
This study seeks to reduce the cost of numerically solving non-linear partial differential equations by reducing the number of computations without compromising accuracy. This was done by using accurate local time stepping. This algorithm uses local time stepping but compensates for the inconsistencies in the temporal dimension by interpolations and/or extrapolations. Reduction in computations are obtained by time-stepping only a particular region with small time steps. A shock tube problem and a detonation wave were the two test cases considered. The performance of the solution using this algorithm was compared with an algorithm that does not use accurate local time stepping.
URI
https://hdl.handle.net/11668/19111
Recommended Citation
Adhikarala, Kiran Kumar V, "Accurate Local Time Stepping Schemes for Non-Linear Partial Differential Equations" (2001). Theses and Dissertations. 361.
https://scholarsjunction.msstate.edu/td/361