# Approximation Schemes for convective term - structured grids - Summary of Discretizations Schemes and examples

(Difference between revisions)
 Revision as of 19:21, 29 September 2005 (view source)Michail (Talk | contribs) (→Pure convection of a scalar step by a rotating velocity field (Smith-Hutton test))← Older edit Revision as of 19:32, 29 September 2005 (view source)Michail (Talk | contribs) (→Pure convection of a scalar step by a rotating velocity field (Smith-Hutton test))Newer edit → Line 24: Line 24: This was the test problem devised for evaluating a range of numerical models of convection at the third meeting of the International Association for Hydraulic Research Working Group on Refined Modelling of flow This was the test problem devised for evaluating a range of numerical models of convection at the third meeting of the International Association for Hydraulic Research Working Group on Refined Modelling of flow + + Sometimes it was used scalar profile with a discontinuity at [itex] \boldsymbol{x=-0.5}[/itex] + + We shall use here more smooth inlet profile + +
+ :[itex] + la-la + [/itex] + (1)
=== Square Lid-driven cavity flow === === Square Lid-driven cavity flow ===

## Revision as of 19:32, 29 September 2005

When we shall fill this page, I offer to make common identifications, because in different issues was used different notation.

Also we beg everybody to help me with original works. Later I shall write, what is necessary. If anyone have literature connected with convective schemes, please drop me a line.

We shall be very glad and grateful to hear any critical suggestion (please drop a few lines at Wiki Forum)

It is just a skeleton, but we hope that it will be developed into the good thing

## Numerical examples

### Pure convection of a scalar step by a rotating velocity field (Smith-Hutton test)

R.M.Smith and A.G.Hutton (1982), "The numerical treatment of advection: A performance comparison of current methods", Numerical Heat Transfer, Vol. 5, p439.

This was the test problem devised for evaluating a range of numerical models of convection at the third meeting of the International Association for Hydraulic Research Working Group on Refined Modelling of flow

Sometimes it was used scalar profile with a discontinuity at $\boldsymbol{x=-0.5}$

We shall use here more smooth inlet profile

 $la-la$ (1)

## Example code for solving Smith-Hutton test

Dear friends

It's just a scrap. Later I'll correct it, although it's a complete working code

Michail

It's a results, obtained using this code (UDS and HLPA schemes)

Below it's cleary seen the numerical diffusion impact, comparing the contour fields obtaining using the UDS and HLPA. A bit later we shall place here a solution gained with QUICK scheme, and it will be seen the osscilations.