L31 - Lecture 31 Fluid Flow Staggered Mesh 1 Last Time Started looking at the computation of fluid flow Sequential schemes How to introduce

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1 Lecture 31: Fluid Flow: Staggered Mesh

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2 Last Time… Started looking at the computation of fluid flow » Sequential schemes » How to introduce pressure into continuity? » Checkerboarding and where to store (u,P)
3 This Time … Re-examine where to store pressure vis-à-vis velocity » Checkerboarding problems Look at staggered mesh as a remedy for checker- boarding for structured meshes

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4 Pressure Calculation Issues Problem in using sequential procedures to compute pressure No pressure in incompressible continuity equation » Need to find a way to introduce p into continuity » Path to solution issue
5 Pressure Calculation Issues(Cont’d) Another issue has to do with storage of pressure and velocity » Obvious choice is to store pressure and velocity (u and v) at cell centroids » Turns out that this type of “co-located” storage is problematic » Gives wiggly pressure/velocity solutions » Feature of discretization, not path to solution » Will not go away no matter what “path to solution” we use

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6 Steady 2D Navier-Stokes Equations Navier-Stokes equations: For Newtonian fluid, sources given by:
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This note was uploaded on 12/29/2011 for the course ME 608 taught by Professor Na during the Fall '10 term at Purdue University-West Lafayette.

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L31 - Lecture 31 Fluid Flow Staggered Mesh 1 Last Time Started looking at the computation of fluid flow Sequential schemes How to introduce

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