کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
768197 | 1462713 | 2014 | 13 صفحه PDF | دانلود رایگان |
• Three-dimensional incompressible velocity is visualized by a novel approach.
• Divergence-free quasi-two-dimensional projections of velocity field are used.
• The projections are shown to be unique for a given velocity field.
• Divergence-free Galerkin bases are used for calculation of the projections.
• Flow in a laterally heated cube and lid-driven flow in a cube are used as examples.
Context: A visualization of three-dimensional incompressible flows by divergence-free quasi-two-dimensional projections of velocity field on three coordinate planes is proposed.Objective: To visualize 3D incompressible flow by 3 two-dimensional plots.Method: It is argued that such divergence-free projections satisfying all the velocity boundary conditions are unique for a given velocity field. It is shown that the projected fields and their vector potentials can be calculated using divergence-free Galerkin bases.Results: Using natural convection flow in a laterally heated cube as an example, it is shown that the projections proposed allow for a better understanding of similarities and differences of three-dimensional flows and their two-dimensional likenesses. An arbitrary choice of projection planes is further illustrated by a lid-driven flow in a cube, where the lid moves parallel either to a sidewall or a diagonal plane.Conclusion: A new method for visualization of 3D incompressible flows is developed and described.
Journal: Computers & Fluids - Volume 97, 25 June 2014, Pages 143–155