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…7887 idaholab#27888 Co-authored-by: Mauricio Tano <mauriciotano@gmail.com> Addressing tanoret review changes idaholab#27800 idaholab#27887 idaholab#27888
freiler · Jun 17, 2024 · ca966fb · ca966fb
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diff --git a/modules/navier_stokes/doc/content/source/auxkernels/RANSYPlusAux.md b/modules/navier_stokes/doc/content/source/auxkernels/RANSYPlusAux.md
@@ -2,7 +2,7 @@
 
 Computes the dimensionless wall distance $y^+$ for RANS models. 
 
-Four different formulations are supported as defined by the "wall_treatment" parameter.
+Four different formulations are supported as defined by the [!param](/AuxKernels/RANSYPlusAux/wall_treatment) parameter.
 Details on each of the four formulations can be found in 
 [INSFVTurbulentViscosityWallFunction](source/fvbcs/INSFVTurbulentViscosityWallFunction.md).
 

diff --git a/...s/navier_stokes/doc/content/source/fvbcs/INSFVTurbulentViscosityWallFunction.md b/...s/navier_stokes/doc/content/source/fvbcs/INSFVTurbulentViscosityWallFunction.md
@@ -17,14 +17,23 @@ $\mu_w = \mu + \mu_t $ , such that the wall shear stress $\tau_w$ is accurately
 without the need of fully resolving the gradients at the near wall region. 
 
 \begin{equation}
-    \tau_w = /frac{ \mu_w $u_p$}{y_p}
+    \tau_w = /frac{ \mu_w u_p}{y_p}
 \end{equation}
 
-To obtain the relationship between the wall shear stress and the dimensionless wall distance,
-four different formulations are supportedas defined by the 
-[!param](/FVBCs/INSFVTurbulentViscosityWallFunction/wall_treatment) parameter.
+where:
 
-To define a proper grid spacing during the meshing process, we recommend using the Auxiliary Kernel
+- $\mu_w = \mu + \mu_t$  is the total viscosity evaluated at the wall face
+- $\mu_t$ is the turbulent viscosity, evaluated at the wall for the purpose of this boundary condition
+- $\mu$ is the kinematic viscosity, evaluated at the wall for the purpose of this boundary condition
+- $\tau_w$ is the wall-shear stress
+- $u_p$ is the wall-parallel velocity at the centroid
+- $y_p$ is the wall normal distance to the centroid
+
+To impose a correct boundary condition for $\mu_t$, as seen in the Equation above, we need to compute $\tau_w$ using analytical 
+relationships between the wall shear stress and the dimensionless wall distance $y^+$. For this purpose, four different
+formulations are supported as defined by the [!param](/FVBCs/INSFVTurbulentViscosityWallFunction/wall_treatment) parameter.
+
+To set the grid spacing for the first cell near the wall in your mesh, we recommend using the Auxiliary Kernel
 [RANSYPlusAux.md] 
 to estimate the dimensionless wall distance $y^+$.
 
@@ -46,6 +55,7 @@ for the turbulent viscosity.
 where:
 
 - $\rho$ is the density
+- $\mu$ is the kinematic viscosity
 - $u_{\tau} = \sqrt{\frac{\tau_w}{\rho}}$ is the friction velocity and $\tau_w$ is the wall friction
 - $y_p$ is the distance from the boundary to the center of the near-wall cell
 - $u_p$ is the parallel velocity to the boundary computed at the center of the near-wall cell

diff --git a/modules/navier_stokes/doc/content/source/fvkernels/INSFVTKEDSourceSink.md b/modules/navier_stokes/doc/content/source/fvkernels/INSFVTKEDSourceSink.md
@@ -8,7 +8,7 @@ A different treatment is used for the bulk and the near wall regions.
 
 ## Bulk formulation:
 
-The turbulent production $G_\epsilon$ is modeled as follows:
+The production of turbulent kinetic energy dissipation $G_\epsilon$ is modeled as follows:
 
 \begin{equation}
 G_{\epsilon} = C_{1,\epsilon} \frac{\epsilon}{k} G_k \,,
@@ -29,6 +29,7 @@ where:
 
 - $C_{2,\epsilon} = 1.92$ is a closure parameter,
 - $\epsilon$ is the solution variable, i.e., the dissipation rate of the turbulent kinetic energy,
+- $k$ is the turbulent kinetic energy,
 - $t_k = \frac{k}{\epsilon}$ is the turbulent time scale; if the [!param](/FVKernels/INSFVTKEDSourceSink/linearized_model) is `true`, this timescale is computed from the previous iteration; if [!param](/FVKernels/INSFVTKEDSourceSink/linearized_model) is `false`, in a nonlinear solve, this timescale is aded to the Jacobian.
 
 ## Wall formulation:

diff --git a/modules/navier_stokes/doc/content/source/fvkernels/INSFVTKESourceSink.md b/modules/navier_stokes/doc/content/source/fvkernels/INSFVTKESourceSink.md
@@ -32,7 +32,7 @@ G_k = min \left( G_k , C_{PL} \rho \epsilon \right) \,,
 
 where:
 
-- $C_{PL}$ it the limiter constant, and set to a recommended value of 10 .
+- $C_{PL}$ it the limiter constant, and set by default to a recommended value of 10 \cite{durbin1996k}.
 
 ## Wall formulation:
 
@@ -59,6 +59,8 @@ incremental fixed-point search algorithm.
 The cells belonging to the `sub-laminar` boundary layers are defined as those
 for which $y^+ < 11.25$.
 The ones belonging to the `logarithmic` boundary layer are those for which $y^+ \ge 11.25$.
+The imposed threshold of $y^+ = 11.25$ is given by the value of $y^+$ at which the `sub-laminar`
+and `logarithmic` boundary profiles intersect.
 
 In the `sub-laminar` region production of turbulent kinetic energy is negligible, therefore, if $y^+ \lt 11.25$:
 
@@ -69,7 +71,7 @@ G_k = 0.0 \,,
 In the `logarithmic` boundary layers the production term is no longer negligible and is defined as:
 
 \begin{equation}
-G_k = \tau_w ||\nabla \vec{u}|| = \left( \mu_t + \mu \right) ||\nabla \vec{u}|| \frac{ C_{\mu}^{0.25} \sqrt(k)}{\kappa y_p} \,,
+G_k = \tau_w ||\nabla \vec{u}|| = \mu_w ||\nabla \vec{u}|| \frac{ C_{\mu}^{0.25} \sqrt(k)}{\kappa y_p} \,,
 \end{equation}
 
 where:
@@ -84,7 +86,7 @@ The formulation assumes that the near wall value is already imposed in the $\mu_
 When solving a linear problem, instead of the nonlinear formulation, the production term is formulated as:
 
 \begin{equation}
-G_k =  \left( \mu_t + \mu \right) ||\nabla \vec{u}|| \frac{ C_{\mu}^{0.25} k}{\sqrt{k_{old}} \kappa y_p} \,.
+G_k =  \mu_w ||\nabla \vec{u}|| \frac{ C_{\mu}^{0.25} k}{\sqrt{k_{old}} \kappa y_p} \,.
 \end{equation}
 
 where:

diff --git a/modules/navier_stokes/include/auxkernels/kEpsilonViscosityAux.h b/modules/navier_stokes/include/auxkernels/kEpsilonViscosityAux.h
@@ -79,90 +79,3 @@ class kEpsilonViscosityAux : public AuxKernel
   std::map<const Elem *, std::vector<const FaceInfo *>> _face_infos;
   ///@}
 };
-
-// WORKING VERSION //
-
-//* This file is part of the MOOSE framework
-//* https://www.mooseframework.org
-//*
-//* All rights reserved, see COPYRIGHT for full restrictions
-//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
-//*
-//* Licensed under LGPL 2.1, please see LICENSE for details
-//* https://www.gnu.org/licenses/lgpl-2.1.html
-
-// #pragma once
-
-// #include "AuxKernel.h"
-// #include "INSFVVelocityVariable.h"
-
-// /**
-//  * Computes the turbuent viscosity for the k-Epsilon model.
-//  * Implements two near-wall treatments: equilibrium and non-equilibrium wall functions.
-//  */
-// class kEpsilonViscosityAux : public AuxKernel
-// {
-// public:
-//   static InputParameters validParams();
-
-//   virtual void initialSetup() override;
-
-//   kEpsilonViscosityAux(const InputParameters & parameters);
-
-// protected:
-//   virtual Real computeValue() override;
-
-//   /// Local method to find friction velocity.
-//   /// This method may need to be reimplemented for each new turbulence model
-//   ADReal findUStarLocalMethod(const ADReal & u, const Real & dist);
-
-//   /// The dimension of the domain
-//   const unsigned int _dim;
-
-//   /// x-velocity
-//   const Moose::Functor<ADReal> & _u_var;
-//   /// y-velocity
-//   const Moose::Functor<ADReal> * _v_var;
-//   /// z-velocity
-//   const Moose::Functor<ADReal> * _w_var;
-
-//   /// Turbulent kinetic energy
-//   const Moose::Functor<ADReal> & _k;
-//   /// Turbulent kinetic energy dissipation rate
-//   const Moose::Functor<ADReal> & _epsilon;
-
-//   /// Density
-//   const Moose::Functor<ADReal> & _rho;
-//   /// Dynamic viscosity
-//   const Moose::Functor<ADReal> & _mu;
-
-//   /// C-mu closure coefficient
-//   const Real _C_mu;
-
-//   /// Wall boundaries
-//   const std::vector<BoundaryName> & _wall_boundary_names;
-
-//   /// If the user wants the linearized computation of y_plus
-//   const bool _linearized_yplus;
-
-//   /// If the user wants to enable bulk wall treatment
-//   const bool _bulk_wall_treatment;
-
-//   /// IF the user requested non-equilibrium wall treatment
-//   const bool _non_equilibrium_treatment;
-
-//   // -- Parameters of the wall function method
-
-//   /// Maximum number of iterations to find the friction velocity
-//   static constexpr int _MAX_ITERS_U_TAU{50};
-
-//   /// Relative tolerance to find the friction velocity
-//   static constexpr Real _REL_TOLERANCE{1e-4};
-
-//   ///@{
-//   /// Maps for wall bounded elements
-//   std::map<const Elem *, bool> _wall_bounded;
-//   std::map<const Elem *, std::vector<Real>> _dist;
-//   std::map<const Elem *, std::vector<const FaceInfo *>> _face_infos;
-//   ///@}
-// };
diff --git a/modules/navier_stokes/include/base/NS.h b/modules/navier_stokes/include/base/NS.h
@@ -164,6 +164,8 @@ static const std::string TKED = "epsilon";
 // Turbulence constants
 static constexpr Real von_karman_constant = 0.4187;
 static constexpr Real E_turb_constant = 9.793;
+// Lower limit for mu_t
+static constexpr Real mu_t_low_limit = 1.0e-12;
 }
 
 namespace NS_DEFAULT_VALUES

diff --git a/modules/navier_stokes/include/fvbcs/INSFVTurbulentViscosityWallFunction.h b/modules/navier_stokes/include/fvbcs/INSFVTurbulentViscosityWallFunction.h
@@ -51,57 +51,3 @@ class INSFVTurbulentViscosityWallFunction : public FVDirichletBCBase
   /// Method used for wall treatment
   const MooseEnum _wall_treatment;
 };
-
-// //* This file is part of the MOOSE framework
-// //* https://www.mooseframework.org
-// //*
-// //* All rights reserved, see COPYRIGHT for full restrictions
-// //* https://github.com/idaholab/moose/blob/master/COPYRIGHT
-// //*
-// //* Licensed under LGPL 2.1, please see LICENSE for details
-// //* https://www.gnu.org/licenses/lgpl-2.1.html
-
-// #pragma once
-
-// #include "FVDirichletBCBase.h"
-// #include "FVFluxBC.h"
-
-// /**
-//  * Applies a wall function to the turbulent viscosity field
-//  */
-// class INSFVTurbulentViscosityWallFunction : public FVDirichletBCBase
-// {
-// public:
-//   INSFVTurbulentViscosityWallFunction(const InputParameters & parameters);
-
-//   static InputParameters validParams();
-
-//   ADReal boundaryValue(const FaceInfo & fi) const override;
-
-// private:
-//   /// the dimension of the domain
-//   const unsigned int _dim;
-
-//   /// x-velocity
-//   const Moose::Functor<ADReal> & _u_var;
-//   /// y-velocity
-//   const Moose::Functor<ADReal> * _v_var;
-//   /// z-velocity
-//   const Moose::Functor<ADReal> * _w_var;
-
-//   /// Density
-//   const Moose::Functor<ADReal> & _rho;
-//   /// Dynamic viscosity
-//   const Moose::Functor<ADReal> & _mu;
-//   ///  Turbulent dynamic viscosity
-//   const Moose::Functor<ADReal> & _mu_t;
-
-//   /// Turbulent kinetic energy
-//   const Moose::Functor<ADReal> & _k;
-
-//   /// C_mu turbulent coefficient
-//   const Real _C_mu;
-
-//   /// Method used for wall treatment
-//   const MooseEnum _wall_treatment;
-// };
diff --git a/modules/navier_stokes/include/fvkernels/INSFVTKEDSourceSink.h b/modules/navier_stokes/include/fvkernels/INSFVTKEDSourceSink.h
@@ -88,97 +88,3 @@ class INSFVTKEDSourceSink : public FVElementalKernel
   std::map<const Elem *, std::vector<const FaceInfo *>> _face_infos;
   ///@}
 };
-
-// //* This file is part of the MOOSE framework
-// //* https://www.mooseframework.org
-// //*
-// //* All rights reserved, see COPYRIGHT for full restrictions
-// //* https://github.com/idaholab/moose/blob/master/COPYRIGHT
-// //*
-// //* Licensed under LGPL 2.1, please see LICENSE for details
-// //* https://www.gnu.org/licenses/lgpl-2.1.html
-
-// #pragma once
-
-// #include "FVElementalKernel.h"
-// #include "MathFVUtils.h"
-// #include "INSFVMomentumResidualObject.h"
-// #include "INSFVVelocityVariable.h"
-
-// /**
-//  * Computes the source and sink terms for the turbulent kinetic energy dissipation rate.
-//  */
-// class INSFVTKEDSourceSink : public FVElementalKernel
-// {
-// public:
-//   static InputParameters validParams();
-
-//   virtual void initialSetup() override;
-
-//   INSFVTKEDSourceSink(const InputParameters & parameters);
-
-// protected:
-//   ADReal computeQpResidual() override;
-
-// protected:
-//   /// The dimension of the simulation
-//   const unsigned int _dim;
-
-//   /// x-velocity
-//   const Moose::Functor<ADReal> & _u_var;
-//   /// y-velocity
-//   const Moose::Functor<ADReal> * _v_var;
-//   /// z-velocity
-//   const Moose::Functor<ADReal> * _w_var;
-
-//   /// Turbulent kinetic energy
-//   const Moose::Functor<ADReal> & _k;
-
-//   /// Density
-//   const Moose::Functor<ADReal> & _rho;
-
-//   /// Dynamic viscosity
-//   const Moose::Functor<ADReal> & _mu;
-
-//   /// Turbulent dynamic viscosity
-//   const Moose::Functor<ADReal> & _mu_t;
-
-//   /// Wall boundaries
-//   const std::vector<BoundaryName> & _wall_boundary_names;
-
-//   /// Maximum mixing length allowed for the domain
-//   const Real _max_mixing_length;
-
-//   /// If the user wants to use the linearized model
-//   const bool _linearized_model;
-
-//   /// No equilibrium treatement
-//   const bool _non_equilibrium_treatment;
-
-//   /// Value of the first epsilon closure coefficient
-//   const Real _C1_eps;
-
-//   /// Value of the second epsilon closure coefficient
-//   const Real _C2_eps;
-
-//   /// C_mu constant
-//   const Real _C_mu;
-
-//   // Production Limiter Constant
-//   const Real _C_pl;
-
-//   /// Stored strain rate
-//   std::map<const Elem *, Real> _symmetric_strain_tensor_norm_old;
-//   /// Map for the previous destruction field
-//   std::map<const Elem *, Real> _old_destruction;
-
-//   /// Map for the previous nonlienar iterate
-//   std::map<const Elem *, Real> _pevious_nl_sol;
-
-//   ///@{
-//   /** Maps for wall treatment */
-//   std::map<const Elem *, bool> _wall_bounded;
-//   std::map<const Elem *, std::vector<Real>> _dist;
-//   std::map<const Elem *, std::vector<const FaceInfo *>> _face_infos;
-//   ///@}
-// };