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Corrected HPMPI case.
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@ -29,43 +29,48 @@ Description
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Basic sub-grid obstacle drag model.
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Details supplied by J Puttock 2/7/06.
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Sub-grid drag term
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<b> Sub-grid drag term <\b>
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The resistance term (force per unit of volume) is given by:
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\f[
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R = -\frac{1}{2} \rho \vert \dwea{\vec{U}} \vert \dwea{\vec{U}}.D
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\f[
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R = -\frac{1}{2} \rho \vert \dwea{\vec{U}} \vert \dwea{\vec{U}}.D
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\f]
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where:
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\f$ D \f$ is the tensor field "CR" in \f$ m^{-1} \f$
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\f$ D \f$ is the tensor field "CR" in \f$ m^{-1} \f$
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This is term is treated implicitly in UEqn.H
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This is term is treated implicitly in UEqn.H
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Sub-grid turbulence generation
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<b> Sub-grid turbulence generation <\b>
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The turbulence source term \f$ G_{R} \f$ occurring in the
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\f$ \kappa-\epsilon \f$ equations for the generation of turbulence due to interaction with unresolved obstacles :
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The turbulence source term \f$ G_{R} \f$ occurring in the
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\f$ \kappa-\epsilon \f$ equations for the generation of turbulence due
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to interaction with unresolved obstacles :
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\f$ G_{R} = C_{s}\beta_{\nu} \mu_{eff} A_{w}^{2}(\dwea{\vec{U}}-\dwea{\vec{U}_{s}})^2 + \frac{1}{2}
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\rho \vert \dwea{\vec{U}} \vert \dwea{\vec{U}}.T.\dwea{\vec{U}} \f$
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\f$ G_{R} = C_{s}\beta_{\nu}
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\mu_{eff} A_{w}^{2}(\dwea{\vec{U}}-\dwea{\vec{U}_{s}})^2 + \frac{1}{2}
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\rho \vert \dwea{\vec{U}} \vert \dwea{\vec{U}}.T.\dwea{\vec{U}} \f$
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where:
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where:
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\f$ C_{s} \f$ = 1
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\f$ C_{s} \f$ = 1
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\f$ \beta_{\nu} \f$ is the volume porosity (file "betav").
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\f$ \beta_{\nu} \f$ is the volume porosity (file "betav").
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\f$ \mu_{eff} \f$ is the effective viscosity.
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\f$ \mu_{eff} \f$ is the effective viscosity.
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\f$ A_{w}^{2}\f$ is the obstacle surface area per unit of volume (file "Aw").
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\f$ A_{w}^{2}\f$ is the obstacle surface area per unit of volume
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(file "Aw").
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\f$ \dwea{\vec{U}_{s}} \f$ is the slip velocity and is considered \f$ \frac{1}{2}. \dwea{\vec{U}} \f$.
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\f$ \dwea{\vec{U}_{s}} \f$ is the slip velocity and is considered
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\f$ \frac{1}{2}. \dwea{\vec{U}} \f$.
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\f$ T \f$ is a tensor in the file CT.
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\f$ T \f$ is a tensor in the file CT.
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The term \f$ G_{R} \f$ is treated explicitly in the \f$ \kappa-\epsilon \f$ Eqs in the PDRkEpsilon.C file.
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The term \f$ G_{R} \f$ is treated explicitly in the \f$ \kappa-\epsilon
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\f$ Eqs in the PDRkEpsilon.C file.
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SourceFiles
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