Analysis of laminar flow over a backward facing step

Auteurs

• Ken Morgan

Paramètres

• Physique
• Sciences naturelles

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This work explores recent advancements in the numerical solution of the Navier-Stokes equations, focusing on viscous flow over backward-facing steps through various methodologies. It includes experimental investigations and numerical predictions of laminar flow behind a step, along with comparisons of different algorithms for unsteady Navier-Stokes equations. The text discusses finite element methods applied to analyze laminar flow, emphasizing the stream function-vorticity formulation and the efficiency of quasi-linear approaches for large Reynolds numbers. Numerical solutions for test problems are presented, alongside studies of incompressible flow using triangular penalty elements. The calculations encompass various discretization schemes for convection terms and finite element simulations of flow past backward-facing steps. Additionally, the work addresses the use of divergence-free bases in finite element methods and explores computations with specific algorithms. The analysis includes the application of nonlinear least squares and alternating direction methods, as well as finite-difference solutions utilizing fast Fourier transforms for regions with rectangular subdomains. Overall, this compilation provides a comprehensive examination of laminar viscous flow over steps, highlighting significant numerical techniques and their applications.

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• Année de publication: 1984