Simple Program for Solving Incompressible Reynolds Equation

This article presents a simple program implementation for solving the incompressible Reynolds equation. We begin by reviewing fundamental concepts of this fluid dynamics equation, which describes the flow behavior of viscous fluids. Although typically solved using numerical methods, our program demonstrates an analytical approach to solving this equation. We will detail the program's architecture, explaining the functionality and implementation of each component with specific references to key functions and algorithmic steps. The implementation includes discretization methods and boundary condition handling essential for accurate solutions. Finally, we evaluate the program's advantages and limitations, providing suggestions for enhancements such as incorporating adaptive mesh refinement or implementing more efficient numerical solvers. Through this tutorial, you will gain practical experience in applying programming techniques to solve engineering problems while understanding fundamental analytical and numerical methods used in computational fluid dynamics.