Discussions on Driven Cavity Flow

Abstract

The widely studied benchmark problem, 2-D driven cavity flow problem is discussed in details in terms of physical and mathematical and also numerical aspects. A very brief literature survey on studies on the driven cavity flow is given. Based on the several numerical and experimental studies, the fact of the matter is, above moderate Reynolds numbers physically the flow in a driven cavity is not two-dimensional. However there exist numerical solutions for 2-D driven cavity flow at high Reynolds numbers.

References in corpus (2)

• Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers
• Fourth Order Compact Formulation of Navier-Stokes Equations and Driven Cavity Flow at High Reynolds Numbers

Cited by in corpus (6)

• Performance of the finite volume method in solving regularised Bingham flows: inertia effects in the lid-driven cavity flow
• An explicit divergence-free DG method for incompressible flow
• Oscillatory instability of fully 3D flow in a cubic diagonally lid-driven cavity
• Mechanics-based solution verification for porous media models
• An improved mathematical model for the sedimentation of microplastic particles in a lid-driven cavity with obstacle
• A result of existence and uniqueness for a cavity driven flow. Analytical expression of the solution