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Thesis
NUMERICAL SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN TWO-DIMENSIONAL SPACE
University of West Florida
Master of Science (MS), University of West Florida
2013
Abstract
In this thesis, we will study the numerical solutions for fluid dynamic systems such as the study of air flow, water flow, etc. We use the finite difference method and partial differential equations via matrices to obtain the numerical solutions. We will study partial differential equations in the one and two dimensional space. The study in one dimensional space will examine the finite difference method on the second derivative. The two dimensional space will analyze the nonlinear Navier-Stokes equations. Error analysis and relative residual will play a key role in the solution and will be a main focus in this study. Numerical analysis utilizing MATLAB software will be performed.
Details
- Title
- NUMERICAL SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN TWO-DIMENSIONAL SPACE
- Resource Type
- Thesis
- Publisher
- University of West Florida
- Format
- text
- Identifiers
- 99380090726206600
- Academic Unit
- Mathematics and Statistics
- Language
- English
- Awarding Institution
- University of West Florida; Master of Science (MS)
- Theses and Dissertations
- Master of Science (MS), University of West Florida