Advanced Finite Element Methods For Solving Fluid Dynamics Problems In Engineering Applications

Abstract

The FEM is now a key method in the field of CFD, providing efficient answers to tough fluid flow issues in many engineering areas. Because of the introduction of stablished methods plus refinement and higher-order elements in FEM, the performance of CFD simulations has greatly improved. This study looks at how advanced FEM techniques are used in fluid dynamics for studying both organized, laminar flows and chaotic, turbulent flows in different engineering applications. The study compares standard FEM to advanced FEM techniques, focusing on their computational accuracy, how they converge and how well they match with reality. In this section, the authors describe the mathematical equations, the boundary rules and the numerical routines used. The performance of the advanced FEM framework is demonstrated through its use in solving lid-driven cavity flow, flow over a cylinder and internal pipe flow problems. Finally, the paper points out that FEM-based solvers may play a key role in future Multiphysics and real-time engineering situations.