Researchers have made a breakthrough in engineering simulations with their latest study, which focuses on creating two-dimensional structured meshes. The technique involves using Thompson’s equations with spacing factors P and Q to generate meshes that can be used to analyze fluid flow, heat transfer, and other engineering applications.
To create these structured meshes, the researchers used second-order centered finite differences to discretize the equations. Then they utilized the Successive Over-Relaxation (SOR) method to solve the resulting system of linear equations. This cutting-edge method allowed them to achieve superior results for specific wing profiles of an aircraft, which can be particularly challenging to mesh due to their complex geometry.
In the case of doubly connected regions, the researchers went a step further and used the wing profiles of an aircraft as the internal boundary. Combining the SOR and finite difference methods could create high-quality structured meshes for these complex shapes.
The potential implications of this breakthrough are significant. This technique could improve engineering designs for aircraft and other applications requiring precise fluid and thermal dynamics modeling by generating accurate and efficient simulations.
Summary of: Generation of Two-Dimensional Structured Meshes for Simply and Doubly Connected Regions, by Agatha Penteado de Almeida et al.
Link to the article: https://journals.modernsciences.org/index.php/msj/article/view/23
References
Penteado de Almeida, A., & Nós, R. L. (2023). Generation of Two-Dimensional Structured Meshes for Simply and Doubly Connected Regions. Modern Sciences Journal, 12(1). https://doi.org/10.57184/msj.v12i1.23
