This is a full description of the different modifications done to the standard 1.3.2 version for the implementation of the $\varphi-\alpha $ model (starting from the implementation of the $\varphi$ model) :
  • resv2f.F: Sub-routine where the elliptic / transport equation for $\alpha$ and $\varphi$ are implemented
    • the time scale definition has moved just before the definition of the explicit source term of $\varphi$
    • the explicit source term of the elliptic variable, now $\alpha$, is now only $-1$
    • the explicit source term of $\varphi$ has changed.
      • it now uses the explicit value of the homogeneous pressure strain $f_h=-\frac{1}{T}(C_1-1+C_2 \frac{P}{\varepsilon \rho}) \big(\varphi-\frac{2}{3}\big)$, stored into the variable FHOMOG
      • the explicit source term of $\varphi$ now becomes: $\alpha^p f_h \rho + \frac{2}{k} \frac{\mu_t}{\sigma_k} \frac{\partial \varphi}{\partial x_j} \frac{\partial k}{\partial x_j}$
      • The exponent coefficient (equal to 3) is stored into the variable COEFFP
      • The array W1(IEL) stores the cross gradient $\frac{\partial \varphi}{\partial x_i} \frac{\partial k}{\partial x_i}$
    • the implicit source term of $\varphi$ now integrates the near wall model for $f$, thus requiring $(1-\alpha^p)\varepsilon\frac{\varphi}{k}$ to be added
  • turbke.F: Where the transport equations ruling $k$ and $\varepsilon$ are coded
    • the expression of the "constant" $C_{\varepsilon 1}$ is modified: $C_{\varepsilon 1} '=C_{\varepsilon 1} (1+A_1(1-\alpha^p)\sqrt{\frac{1}{\varphi}})$
  • iniini.F: Where the constants of the model are defined. The following table gives all of them, but they might change again...
    $C_{\varepsilon1}$ $C_{\varepsilon2}$ $A_1$ $C_\mu$ $C_1$ $C_2$ $p$ $\sigma_\varepsilon$ $\sigma_k$ $\sigma_\varphi$ $C_L$ $C_\eta$ $C_T$
    1.44 1.83 0.04 0.22 1.7 1.2 3 1.22 1 1 0.161 90 6

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Topic revision: r7 - 2009-11-27 - 14:16:16 - FlavienBillard
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16 Jun 2019


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