l38 - Lecture 38: SIMPLE Algorithm for Co-Located Scheme 1...

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1 Lecture 38: SIMPLE Algorithm for Co-Located Scheme
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2 Last Time… Completed the development of a momentum- interpolation procedure for the face velocities Developed a p’ equation for the co-located formulation
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3 This Time … Devise a SIMPLE algorithm that works with co-located schemes
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4 Co-Located Formulation in 2D u,v,p, stored at cell centroids of main control volumes Wish to develop » Discrete momentum equations » Momentum-interpolated face velocities » Momentum-interpolated correction equations » Find p’ equation » Set up SIMPLE loop
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5 Discrete Momentum Equations Discretize u and v momentum equations at P Note coefficient nomenclature
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6 Momentum Interpolation Find face velocity by interpolating hat velocities, and adding in adjacent pressure term:
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7 SIMPLE Algorithm As usual, starred face velocities do not satisfy continuity: Propose face velocity and cell pressure corrections
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8 Face Velocity and Flow Rate Correction Correspondingly, face flow rates are corrected as: Find velocity correction relations from momentum interpolation:
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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.

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l38 - Lecture 38: SIMPLE Algorithm for Co-Located Scheme 1...

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