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Elliptic relaxation for near wall turbulence models

Elliptic relaxation for near wall turbulence models

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<strong>Elliptic</strong> <strong>relaxation</strong> approach<br />

The model accurately represents the asymptotic<br />

behaviour of the stresses even in the <strong>near</strong> <strong>wall</strong> layer.<br />

There is no need to prescribe the distance from the<br />

<strong>wall</strong>, so no ill defined in complex geometries.<br />

No use of empiricall damping functions.<br />

Good representation of the stresses in channel flows<br />

and boundary layers.<br />

Requires 13 transport equations ( 6 <strong>for</strong> uiuj, 6 <strong>for</strong> fij<br />

and one <strong>for</strong> ε).<br />

Numerical difficulties with <strong>wall</strong> boundary conditions <strong>for</strong><br />

f22, f12, f23.<br />

Equations required to be solved coupled.<br />

<strong>Elliptic</strong> <strong>relaxation</strong> <strong>for</strong> <strong>near</strong> <strong>wall</strong> <strong>turbulence</strong> <strong>models</strong> – p. 8/22

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