28 lines
652 B
Text
28 lines
652 B
Text
# fsd weighted (vn+sd) correlations
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[u, v, w, y]
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c (latex="c") = 1.0 - y
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fsd (latex="\Sigma_f'") = sqrt (sqr(ddx(c)) + sqr(ddy(c)) + sqr(ddz(c)))
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nx(latex="n_x") = - ddx(c) / fsd
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ny(latex="n_y") = - ddy(c) / fsd
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nz(latex="n_z") = - ddz(c) / fsd
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divn(latex="\nabla \cdot \vec{n}") = ddx(nx) + ddy(ny) + ddz(nz)
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divn_sign = $dsign(1, divn)
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pdivn_mask = $positive(divn_sign)
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ndivn_mask = - $negative(divn_sign)
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fplus (latex="\Sigma_f^+'") = pdivn_mask * fsd
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fminus(latex="\Sigma_f^-'") = ndivn_mask * fsd
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avg { c, u, v, w, fsd, fplus, fminus, ddx_c, ddy_c, ddz_c }
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avg fsd { u, v, w, nx, ny, nz, divn }
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avg fplus { divn }
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avg fminus { divn }
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