Solving Pressure Distribution using Five-Point Difference Method for Discretized Reynolds Equation with SOR (Successive Over-Relaxation)

This MATLAB source code implements the five-point difference method for discretizing the Reynolds equation and solves the pressure distribution using the Successive Over-Relaxation (SOR) iterative method. The program demonstrates the complete implementation process, including boundary condition definition, initial value setup, and iterative solution procedures. Key implementation aspects covered include: discretization of the Reynolds equation using central difference schemes, implementation of the SOR algorithm with adjustable relaxation factors, and convergence criteria handling. The code structure shows how to initialize pressure matrices, apply boundary conditions, and perform iterative updates until solution convergence. Users can modify parameters such as grid resolution, relaxation factors, and convergence thresholds to observe their impact on solution accuracy and computational efficiency. This implementation serves as an educational tool for understanding numerical methods in fluid dynamics and their MATLAB implementation.