# l36 - Lecture 36 Co-Located Schemes 1 Last Time Completed...

This preview shows pages 1–9. Sign up to view the full content.

1 Lecture 36: Co-Located Schemes

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Last Time … Completed looking at SIMPLE on staggered structured Cartesian meshes Found that staggered meshes are difficult to use on body-fitted meshes and unstructured meshes
3 This Time… Start looking at co-located pressure-velocity storage Consider what needs to be done to prevent checkerboarding » Get around linear interpolation of pressure Figure out discretization accuracy

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 Recall… Storing pressure and velocity at cell centroids leads to checker-boarding Comes from having to interpolate pressure to the face and finding p for the cell; similar problem with velocity in continuity equation Remedy is a staggered mesh » Increased geometric complexity even on structured meshes » Nearly impossible for unstructured meshes
5 Co-Located Storage Store (u,v,P, ) at cell centroid Same control volume for all Also sometimes called equal-order interpolation or a non- staggered formulation

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 Discrete Momentum Equation Let‟s do this in 1D to avoid algebra; assume uniform mesh Discrete momentum equation for velocity u p : We are writing an equation for u P but we need u e
7 Momentum Equation (Cont’d) Interpolating pressure linearly, we get:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
8 Pressure Checker-Boarding Divide momentum equations by center coefficients: Here:
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/29/2011 for the course ME 608 taught by Professor Na during the Fall '10 term at Purdue.

### Page1 / 25

l36 - Lecture 36 Co-Located Schemes 1 Last Time Completed...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online