Viscous flow is a crucial part of Computational Fluid Dynamics simulations, where the viscous drag is significant, and separation might occur in regions of adverse pressure gradient. Predicting the separation bubbles with computer simulation can lead to deeper understanding of the flow structure and assist relevant designs. To narrow the scope, this paper targets the 2D steady viscous laminar flow. Benchmark problems in both separated and attached flow are simulated for validation purposes. Stream-function and vorticity formulation of both Navier-Stokes equations and boundary layer equations are used to enforce conservation of mass and momentum equations. A formulation of parabolized Navier-Stokes equations is also investigated as the intermediate step. For separated flows, FLARE approximation may provide a less accurate but inexpensive solution (where the convective term is cancelled for negative velocity, hence, a marching procedure can be used).

steady laminar separated flows, incompressible and compressible flows, numerical simulations, engineering education.

Received: June 23, 2023;  Accepted: August 1, 2023; Published: September 15, 2023

How to cite this article: Jiahe Chai and Mohamed Hafez, Numerical simulations of 2D steady laminar compressible and incompressible flows with separation for engineering education, Advances and Applications in Fluid Mechanics 30(2) (2023), 121-146. http://dx.doi.org/10.17654/0973468623007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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