Reynolds Stress Models Reference

The Reynolds Stress Turbulence models allow you to compute the components of the Reynolds stress tensor $R$ to provide closure to the Reynolds-Averaged Navier-Stokes equations.

Models Overview


Model Names and Abbreviations	Elliptic Blending		EB
	Linear Pressure Strain		LPS
	Linear Pressure Strain Two-Layer		LPS 2L
	Quadratic Pressure Strain		QPS
Theory	See Theory Guide—Reynolds Stress Transport Models.
Provided By	[physics continuum] > Models > Reynolds Stress Turbulence Models
Example Node Path	Continua > Physics 1 > Models > Linear Pressure Strain Two-Layer
Requires	Physics Models	Space: Axisymmetric, Two Dimensional, or Three Dimensional Time: Steady or Implicit Unsteady Material: Gas, Liquid, Multiphase, Multi-Component Gas, or Multi-Component Liquid Viscous Regime: Turbulent Turbulence: Reynolds-Averaged Navier-Stokes Reynolds-Averaged Turbulence: Reynolds Stress Turbulence
Properties	See Properties Lookup.
Activates	Physics Models	Wall Distance: Wall Distance*
		Wall Treatment: All y+ Wall Treatment (EB), High y+ Wall Treatment (LPS, QPS), or Two-Layer All y+ Wall Treatment (LPS 2L)
	Model Controls (child nodes)	C3e (optional, see Buoyancy Production of Dissipation)
	Initial Conditions	See Reynolds Stress Initial Conditions Reference.
	Boundary Inputs	See Reynolds Stress Boundaries Reference.
	Region Inputs	See Reynolds Stress Region Reference.
	Solvers	Reynolds Stress Turbulence (LPS, LPS 2L, QPS) Elliptic Reynolds Stress Turbulence (EB) Reynolds Stress Turbulent Viscosity See Reynolds Stress Solvers Reference.
	Monitors	Tdr (turbulent dissipation rate) uu-stress (UU Reynolds stress component) uv-stress (UV Reynolds stress component) uw-stress (UW Reynolds stress component) vv-stress (VV Reynolds stress component) vw-stress (VW Reynolds stress component) ww-stress (WW Reynolds stress component)
	Field Functions	Kolmogorov Length Scale Kolmogorov Time Scale Reynolds Stress uu Reynolds Stress uv Reynolds Stress uw Reynolds Stress vv Reynolds Stress vw Reynolds Stress ww Strain Rate Tensor Modulus Taylor Micro Scale Turbulent Dissipation Rate Turbulent Kinetic Energy Turbulent Viscosity Turbulent Viscosity Ratio See Reynolds Stress Field Functions Reference.

Properties Lookup

This table shows which properties are used by which Reynolds Stress Turbulence model. Use the abbreviations that are given in the Models Overview above.


	EB	LPS	LPS 2L	QPS
A1 The coefficient $A_{1}$ in Eqn. (1342).
Alpha Minimum The minimum value that the transported variable $α$ is permitted to have. An appropriate value is a small number that is greater than the floating point minimum of the computer.
Buoyancy Production of Dissipation Determines how the coefficient $C_{ε 3}$ in Eqn. (1318) is calculated. None: Neglects the term $C_{ε 3} tr (G)$ . Boundary Layer Orientation: Computes $C_{ε 3}$ according toEqn. (1191). Thermal Stratification: Computes $C_{ε 3}$ according to Eqn. (1192). Constant Coefficient: Computes $C_{ε 3}$ as a constant coefficient. This option requires the specification of $C_{ε 3}$ in the corresponding child node C3e.
C1 The coefficient $C_{1}$ in Eqn. (1334) (EB) and Eqn. (1321) (LPS, LPS 2L).
C1e The coefficient $C_{ε 1}$ in Eqn. (1318).
C1s The coefficient $C_{1_{s}}$ in Eqn. (1334).
C1w The coefficient $C_{1 w}$ in Eqn. (1324).
C2 The coefficient $C_{2}$ in Eqn. (1322).
C2e The coefficient $C_{ε 2}$ in Eqn. (1318).
C2w The coefficient $C_{2 w}$ in Eqn. (1326).
C3 The coefficient $C_{3}$ in Eqn. (1323).
C3s The coefficient $C_{3_{s}}$ in Eqn. (1334).
C4 The coefficient $C_{4}$ in Eqn. (1334).
C5 The coefficient $C_{5}$ in Eqn. (1334).
Ceta The coefficient $C_{η}$ in Eqn. (1339).
Cl The coefficient $C_{l}$ in Eqn. (1339) (EB) and Eqn. (1325) (LPS, LPS 2L).
Cmu The coefficient $C_{μ}$ in Eqn. (1312).
Convection Controls the convection scheme. 1st-order: Selects the first-order upwind convection scheme. 2nd-order: Selects the second-order upwind convection scheme.
Cr1 The coefficient $C_{r 1}$ in Eqn. (1331).
Cr2 The coefficient $C_{r 2}$ in Eqn. (1331).
Cr3 The coefficient $C_{r 3}$ in Eqn. (1331).
Cr3star The coefficient $C_{r 3}^{*}$ in Eqn. (1331).
Cr4 The coefficient $C_{r 4}$ in Eqn. (1331).
Cs The coefficient $C_{s}$ in Eqn. (1314).
Cs1 The coefficient $C_{s 1}$ in Eqn. (1331).
Cs2 The coefficient $C_{s 2}$ in Eqn. (1331).
Ct The coefficient $C_{t}$ in Eqn. (1341).
FwMax The coefficient $f_{w}^{max}$ in Eqn. (1325).
Sarkar The coefficient $C_{M}$ in Eqn. (1319).
Sigma_e The coefficient $σ_{ε}$ in Eqn. (1169) in K-Epsilon model formulation.
Sigma_k The coefficient $σ_{k}$ in Eqn. (1311).
Secondary Gradients Neglect or include the boundary secondary gradients for diffusion and/or the interior secondary gradients at mesh faces. On: Include both secondary gradients. Off: Exclude both secondary gradients. Interior Only: Include the interior secondary gradients only. Boundaries Only: Include the boundary secondary gradients only.
Tdr Minimum The minimum value that the transported variable $ε$ is permitted to have. An appropriate value is a small number that is greater than the floating point minimum of the computer.
Tke Minimum The minimum value that the transported variable $k$ is permitted to have. An appropriate value is a small number that is greater than the floating point minimum of the computer.
Two-Layer Delta ReY The value of $Δ {Re}_{y}$ used in Eqn. (1195) in two-layer models formulation.
Two-Layer ReY* The value of ${Re}_{y}^{*}$ used in Eqn. (1194) in two-layer models formulation.
Two-Layer Type Controls the type of two-layer formulation Shear Driven (Wolfstein): Selects the two-layer formulation of Wolfstein [317]. Use this selection for flows where buoyancy forces do not dominate. See Eqn. (1197) and Eqn. (1198). Buoyancy Driven (Xu): Selects the two-layer formulation of Xu [318]. Use this selection for flows where buoyancy forces dominate. See Eqn. (1201) and Eqn. (1202). Shear Driven (Norris-Reynolds) : Selects the two-layer formulation of Norris and Reynolds [312]. Use this selection for flows where buoyancy forces do not dominate. See Eqn. (1199) and Eqn. (1200).
Use Boussinesq Approximation When On, instead of using the divergence of the computed Reynolds stress tensor, uses the Boussinesq approximation, Eqn. (1147).
Use Daly-Harlow When On, instead of using the isotropic formulation, as in Eqn. (1311), uses the Generalized Gradient Diffusion model, Eqn. (1314).
Wall Reflection Term When On, includes the wall-reflection terms ${\underset{̲}{Φ}}_{1 w}$ and ${\underset{̲}{Φ}}_{2 w}$ (see Eqn. (1320))