From c956976644adc84deb0c23a02ecac5a0e6d717d2 Mon Sep 17 00:00:00 2001 From: marchdf Date: Wed, 25 Sep 2024 21:54:19 +0000 Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20=20@=206155b?= =?UTF-8?q?17fa6b8914a819a492230c96f7990a97b78=20=F0=9F=9A=80?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../theory/supportedEquationSet.rst.txt | 35 +++ ...d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html | 110 ++++++++ ..._s_t_b_l_t_m2015_node_kernel_8_c__incl.map | 10 + ..._s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 | 1 + ..._s_t_b_l_t_m2015_node_kernel_8_c__incl.svg | 216 ++++++++++++++++ ..._b_l_t_m2015_node_kernel_8_c__incl_org.svg | 128 ++++++++++ ..._dissipation_rate_equation_system_8_c.html | 1 + ...k_e_s_s_t_b_l_t_m2015_node_kernel_8_c.html | 110 ++++++++ ..._s_t_b_l_t_m2015_node_kernel_8_c__incl.map | 10 + ..._s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 | 1 + ..._s_t_b_l_t_m2015_node_kernel_8_c__incl.svg | 216 ++++++++++++++++ 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source/theory/supportedEquationSet.html | 85 ++++--- 90 files changed, 1982 insertions(+), 979 deletions(-) create mode 100644 api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html create mode 100644 api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map create mode 100644 api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 create mode 100644 api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg create mode 100644 api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg create mode 100644 api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c.html create mode 100644 api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map create mode 100644 api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 create mode 100644 api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg create mode 100644 api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg diff --git a/_sources/source/theory/supportedEquationSet.rst.txt b/_sources/source/theory/supportedEquationSet.rst.txt index b634d559b..d35141824 100644 --- a/_sources/source/theory/supportedEquationSet.rst.txt +++ b/_sources/source/theory/supportedEquationSet.rst.txt @@ -855,6 +855,41 @@ where :math:`\Omega` is the earth's angular velocity and :math:`\lambda` is the .. _eqn_sst_des: +Laminar-Turbulent Transition Model Formulation +++++++++++++++++++++++++++++++++++++++++++++++ +To account for the effects of the laminar-turbulent boundary layer transition, +Menter's one-equation :math:`\gamma` transition model :cite:`Menter:2015` is coupled with the SST model. +The model consists of single transport equation for intermittency + +.. math:: + \frac{D(\rho \gamma)}{Dt}=P_{\gamma}-D_{\gamma}+\frac{\partial }{\partial x_j}\left[ (\mu + \frac{\mu_t}{\sigma_{\gamma}} )\frac{\partial \gamma}{\partial x_j} \right] + +The production term, :math:`P_{\gamma}`, and destruction term, :math:`D_{\gamma}`, are as: + +.. math:: + P_{\gamma}=F_{length} \rho S \gamma (1-\gamma) F_{onset}, \quad D_{\gamma}=C_{a2} \rho \Omega \gamma F_{turb} (C_{e2}\gamma-1) + +The model constants are: + +.. math:: + F_{length}=100, \quad c_{e2}=50, \quad c_{a2}=0.06, \quad \sigma_{\gamma}=1.0 + +The transition onset criteria of the model are defined as: + +.. math:: + F_{onset1}=\frac{Re_{v}}{2.2Re_{\theta c}}, \quad F_{onset2}=(F_{onset1},2.0 ) + +.. math:: + F_{onset3}=\max \left(1- \left (\frac{R_{T}}{3.5}\right)^3,0 \right ), \quad F_{onset}=\max(F_{onset2}-F_{onset3},0) + +.. math:: + F_{turb}=e^{-\left ( \frac{R_{T}}{2} \right )^{4}}, \quad R_T=\frac{\rho k}{\mu \omega}, \quad Re_v=\frac{\rho d_{w}^2S}{\mu} + +The transition onset occurs once the scaled vorticity Reynolds number, :math:`Re_{v}/2.2`, exceeds the critical momentum thickness Reynolds number, :math:`Re_{\theta c}`, from the empirical correlations. + +The output intermittency from the transition model is applied to both the production and destruction terms of the turbulent kinetic energy +transport equation. + Detached Eddy Simulation (DES) Formulation ++++++++++++++++++++++++++++++++++++++++++ diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html new file mode 100644 index 000000000..f5dc0a638 --- /dev/null +++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c.html @@ -0,0 +1,110 @@ + + + + + + + +Nalu-Wind: SDRSSTBLTM2015NodeKernel.C File Reference + + + + + + + + + + + +
+
+ + + + + + +
+
Nalu-Wind +  v0.1.0 +
+
CFD solver for wind plant simulations
+
+
+ + + + + + + + +
+
+ + +
+ +
+ + +
+
+
+Namespaces
+
+
SDRSSTBLTM2015NodeKernel.C File Reference
+
+
+
#include "node_kernels/SDRSSTBLTM2015NodeKernel.h"
+#include "Realm.h"
+#include "SolutionOptions.h"
+#include "SimdInterface.h"
+#include "utils/StkHelpers.h"
+#include "stk_mesh/base/MetaData.hpp"
+#include "stk_mesh/base/Types.hpp"
+
+Include dependency graph for SDRSSTBLTM2015NodeKernel.C:
+
+
+
+
+
+ + + + + +

+Namespaces

 sierra
 
 sierra::nalu
 
+
+ +
+Generated by doxygen 1.9.1 +
+ + diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map new file mode 100644 index 000000000..66508b7a0 --- /dev/null +++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map @@ -0,0 +1,10 @@ + + + + + + + + + + diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 new file mode 100644 index 000000000..e8978c2bd --- /dev/null +++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 @@ -0,0 +1 @@ +1458bbe6fcfefadd5aa2b5c09aa37c1a \ No newline at end of file diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg new file mode 100644 index 000000000..23807f199 --- /dev/null +++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg @@ -0,0 +1,216 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +SDRSSTBLTM2015NodeKernel.C + + + +Node1 + + +SDRSSTBLTM2015NodeKernel.C + + + + + +Node2 + + +node_kernels/SDRSSTBLTM2015 +NodeKernel.h + + + + + +Node1->Node2 + + + + + +Node3 + + +Realm.h + + + + + +Node1->Node3 + + + + + +Node4 + + +SolutionOptions.h + + + + + +Node1->Node4 + + + + + +Node5 + + +SimdInterface.h + + + + + +Node1->Node5 + + + + + +Node6 + + +utils/StkHelpers.h + + + + + +Node1->Node6 + + + + + +Node7 + + +stk_mesh/base/MetaData.hpp + + + + + +Node1->Node7 + + + + + +Node8 + + +stk_mesh/base/Types.hpp + + + + + +Node1->Node8 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg new file mode 100644 index 000000000..8734d8b4b --- /dev/null +++ b/api_docs/_s_d_r_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg @@ -0,0 +1,128 @@ + + + + + + +SDRSSTBLTM2015NodeKernel.C + + + +Node1 + + +SDRSSTBLTM2015NodeKernel.C + + + + + +Node2 + + +node_kernels/SDRSSTBLTM2015 +NodeKernel.h + + + + + +Node1->Node2 + + + + + +Node3 + + +Realm.h + + + + + +Node1->Node3 + + + + + +Node4 + + +SolutionOptions.h + + + + + +Node1->Node4 + + + + + +Node5 + + +SimdInterface.h + + + + + +Node1->Node5 + + + + + +Node6 + + +utils/StkHelpers.h + + + + + +Node1->Node6 + + + + + +Node7 + + +stk_mesh/base/MetaData.hpp + + + + + +Node1->Node7 + + + + + +Node8 + + +stk_mesh/base/Types.hpp + + + + + +Node1->Node8 + + + + + diff --git a/api_docs/_specific_dissipation_rate_equation_system_8_c.html b/api_docs/_specific_dissipation_rate_equation_system_8_c.html index e00a5f476..8679dcf61 100644 --- a/api_docs/_specific_dissipation_rate_equation_system_8_c.html +++ b/api_docs/_specific_dissipation_rate_equation_system_8_c.html @@ -117,6 +117,7 @@ #include <node_kernels/SDRSSTDESNodeKernel.h>
#include <node_kernels/ScalarGclNodeKernel.h>
#include <node_kernels/SDRKONodeKernel.h>
+#include <node_kernels/SDRSSTBLTM2015NodeKernel.h>
#include "ngp_utils/NgpFieldBLAS.h"
#include "ngp_algorithms/NodalGradEdgeAlg.h"
#include "ngp_algorithms/NodalGradElemAlg.h"
diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c.html b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c.html new file mode 100644 index 000000000..31ee81830 --- /dev/null +++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c.html @@ -0,0 +1,110 @@ + + + + + + + +Nalu-Wind: TKESSTBLTM2015NodeKernel.C File Reference + + + + + + + + + + + +
+
+ + + + + + +
+
Nalu-Wind +  v0.1.0 +
+
CFD solver for wind plant simulations
+
+
+ + + + + + + + +
+
+ + +
+ +
+ + +
+
+
+Namespaces
+
+
TKESSTBLTM2015NodeKernel.C File Reference
+
+
+
#include "node_kernels/TKESSTBLTM2015NodeKernel.h"
+#include "Realm.h"
+#include "SolutionOptions.h"
+#include "SimdInterface.h"
+#include "utils/StkHelpers.h"
+#include "stk_mesh/base/MetaData.hpp"
+#include "stk_mesh/base/Types.hpp"
+
+Include dependency graph for TKESSTBLTM2015NodeKernel.C:
+
+
+
+
+
+ + + + + +

+Namespaces

 sierra
 
 sierra::nalu
 
+
+ +
+Generated by doxygen 1.9.1 +
+ + diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map new file mode 100644 index 000000000..b9eb8772e --- /dev/null +++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.map @@ -0,0 +1,10 @@ + + + + + + + + + + diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 new file mode 100644 index 000000000..93ea637b9 --- /dev/null +++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.md5 @@ -0,0 +1 @@ +2333187576f145e078d519ab1c1f3001 \ No newline at end of file diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg new file mode 100644 index 000000000..8d6601646 --- /dev/null +++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl.svg @@ -0,0 +1,216 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +TKESSTBLTM2015NodeKernel.C + + + +Node1 + + +TKESSTBLTM2015NodeKernel.C + + + + + +Node2 + + +node_kernels/TKESSTBLTM2015 +NodeKernel.h + + + + + +Node1->Node2 + + + + + +Node3 + + +Realm.h + + + + + +Node1->Node3 + + + + + +Node4 + + +SolutionOptions.h + + + + + +Node1->Node4 + + + + + +Node5 + + +SimdInterface.h + + + + + +Node1->Node5 + + + + + +Node6 + + +utils/StkHelpers.h + + + + + +Node1->Node6 + + + + + +Node7 + + +stk_mesh/base/MetaData.hpp + + + + + +Node1->Node7 + + + + + +Node8 + + +stk_mesh/base/Types.hpp + + + + + +Node1->Node8 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg new file mode 100644 index 000000000..79be30826 --- /dev/null +++ b/api_docs/_t_k_e_s_s_t_b_l_t_m2015_node_kernel_8_c__incl_org.svg @@ -0,0 +1,128 @@ + + + + + + +TKESSTBLTM2015NodeKernel.C + + + +Node1 + + +TKESSTBLTM2015NodeKernel.C + + + + + +Node2 + + +node_kernels/TKESSTBLTM2015 +NodeKernel.h + + + + + +Node1->Node2 + + + + + +Node3 + + +Realm.h + + + + + +Node1->Node3 + + + + + +Node4 + + +SolutionOptions.h + + + + + +Node1->Node4 + + + + + +Node5 + + +SimdInterface.h + + + + + +Node1->Node5 + + + + + +Node6 + + +utils/StkHelpers.h + + + + + +Node1->Node6 + + + + + +Node7 + + +stk_mesh/base/MetaData.hpp + + + + + +Node1->Node7 + + + + + +Node8 + + +stk_mesh/base/Types.hpp + + + + + +Node1->Node8 + + + + + diff --git a/api_docs/_turb_kinetic_energy_equation_system_8_c.html b/api_docs/_turb_kinetic_energy_equation_system_8_c.html index cd992bcfe..9b4678795 100644 --- a/api_docs/_turb_kinetic_energy_equation_system_8_c.html +++ b/api_docs/_turb_kinetic_energy_equation_system_8_c.html @@ -124,6 +124,7 @@ #include <node_kernels/TKEKENodeKernel.h>
#include <node_kernels/TKERodiNodeKernel.h>
#include <node_kernels/TKEKONodeKernel.h>
+#include <node_kernels/TKESSTBLTM2015NodeKernel.h>
#include <ngp_utils/NgpLoopUtils.h>
#include <ngp_utils/NgpTypes.h>
#include <ngp_utils/NgpFieldBLAS.h>
diff --git a/api_docs/dir_e472670134093ca813a7551919ab9780.html b/api_docs/dir_e472670134093ca813a7551919ab9780.html index bb5026874..1f7a1fd56 100644 --- a/api_docs/dir_e472670134093ca813a7551919ab9780.html +++ b/api_docs/dir_e472670134093ca813a7551919ab9780.html @@ -117,6 +117,8 @@   file  SDRSSTAMSNodeKernel.C   +file  SDRSSTBLTM2015NodeKernel.C +  file  SDRSSTDESNodeKernel.C   file  SDRSSTLRNodeKernel.C @@ -135,6 +137,8 @@   file  TKESSTAMSNodeKernel.C   +file  TKESSTBLTM2015NodeKernel.C +  file  TKESSTDESNodeKernel.C   file  TKESSTIDDESNodeKernel.C diff --git a/api_docs/files.html b/api_docs/files.html index d130056c1..96544a8d1 100644 --- a/api_docs/files.html +++ b/api_docs/files.html @@ -363,124 +363,126 @@  SDRKONodeKernel.C  SDRLowReWallAlg.C  SDRSSTAMSNodeKernel.C - SDRSSTDESNodeKernel.C - SDRSSTLRNodeKernel.C - SDRSSTNodeKernel.C - SDRWallFuncAlg.C - SDRWallFuncAlgDriver.C - ShearStressTransportEquationSystem.C - SideWriter.C - Simulation.C 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"d-hybrid-1x2x10-duct-specified-pressure-drop"]], "3D Steady Laplace Operator with Nonconformal Interface": [[51, "d-steady-laplace-operator-with-nonconformal-interface"]], "3D Steady Non-isothermal with Buoyancy": [[51, "d-steady-non-isothermal-with-buoyancy"]], "3D Steady Non-uniform with Buoyancy": [[51, "d-steady-non-uniform-with-buoyancy"]], "ABL Forcing": [[42, null], [43, "abl-forcing"]], "ABL Forcing Source Terms": [[32, "abl-forcing-source-terms"]], "ABL Utilities": [[7, "abl-utilities"]], "ABL Wall Function": [[20, "abl-wall-function"]], "AMS of the Atmospheric Boundary Layer": [[20, "ams-of-the-atmospheric-boundary-layer"]], "AMS with SST Mixing Length Limiter": [[32, "ams-with-sst-mixing-length-limiter"]], "Active Model Split (AMS) Formulation": [[32, "active-model-split-ams-formulation"]], "Actuator Sources": [[1, null]], "Actuator Turbine Model": [[43, "actuator-turbine-model"], [46, null]], "Actuator line simulations coupled to OpenFAST": [[51, "actuator-line-simulations-coupled-to-openfast"]], "Adaptivity": [[18, null]], "Adding Testing Machines to CDash": [[14, "adding-testing-machines-to-cdash"]], "Adding Tests to Nalu-Wind": [[14, "adding-tests-to-nalu-wind"]], "Advection Stabilization": [[19, null]], "Application Verification Test; ABL Precursor/Subsequent": [[51, "application-verification-test-abl-precursor-subsequent"]], "Application Verification Test; Convecting Taylor Vortex": [[51, "application-verification-test-convecting-taylor-vortex"]], "Approximations for the Schur complement": [[36, "approximations-for-the-schur-complement"]], "Asymptotic Expansion": [[25, "asymptotic-expansion"]], "Atmospheric Boundary Layer Surface Conditions": [[20, "atmospheric-boundary-layer-surface-conditions"]], "Atmospheric Boundary Layer Top Conditions": [[20, "atmospheric-boundary-layer-top-conditions"]], "Auxiliary Functions": [[7, null]], "Averaging functions": [[32, "averaging-functions"]], "Boost v1.68.0": [[37, "boost-v1-68-0"]], "Boundary Conditions": [[43, "boundary-conditions"]], "Boundary Layer Statistics": [[43, "boundary-layer-statistics"]], "Boussinesq Buoyancy Model": [[32, "boussinesq-buoyancy-model"]], "Boussinesq Verification": [[51, "boussinesq-verification"]], "Buckets": [[21, "buckets"]], "Build": [[37, "build"], [37, "id1"]], "Build Nalu-Wind ParaView Catalyst Adapter": [[37, "build-nalu-wind-paraview-catalyst-adapter"]], "Building Nalu-Wind": [[39, null]], "Building Nalu-Wind Manually": [[37, null]], "Building Nalu-Wind Semi-Automatically Using Spack": [[38, null]], "Building inside Docker Container": [[38, "building-inside-docker-container"]], "Building the Documentation": [[8, null]], "CMake v3.12.4": [[37, "cmake-v3-12-4"]], "CVFEM Dual Mesh": [[23, "cvfem-dual-mesh"]], "CVFEM and FEM Interface": [[4, null]], "Code Abstractions": [[21, null]], "Common options": [[43, "common-options"]], "Connectivity": [[21, "connectivity"]], "Conservation of Energy": [[32, "conservation-of-energy"]], "Conservation of Mass": [[32, "conservation-of-mass"]], "Conservation of Momentum": [[32, "conservation-of-momentum"]], "Conservation of Species": [[32, "conservation-of-species"]], "Continuity": [[20, "continuity"], [20, "id1"], [20, "id16"]], "Continuity, Mixture Fraction, Enthalpy, Species, k_{sgs}, k and \\omega": [[20, "continuity-mixture-fraction-enthalpy-species-k-sgs-k-and-omega"]], "Continuous Integration": [[12, "continuous-integration"]], "Contributing to Nalu-Wind": [[10, null]], "Convecting Taylor Vortex": [[7, "convecting-taylor-vortex"]], "Coupling Approach": [[22, null]], "Daily Regression Tests": [[12, "daily-regression-tests"]], "Data probes": [[43, "data-probes"]], "Definition of the test function": [[31, "definition-of-the-test-function"]], "Density": [[30, "density"]], "Detached Eddy Simulation (DES) Formulation": [[32, "detached-eddy-simulation-des-formulation"]], "Developer Manual": [[11, null]], "Developer Workflow": [[15, null]], "Development Build of Nalu-Wind": [[38, "development-build-of-nalu-wind"]], "Development Infrastructure": [[12, null]], "Diffusion": [[23, "diffusion"]], "Discretization Approach": [[23, null]], "Docker Container": [[12, "docker-container"]], "Dynamic Hybrid Diagnostics": [[32, "dynamic-hybrid-diagnostics"]], "Earth Coriolis Force": [[32, "earth-coriolis-force"]], "Edge-Based Discretization": [[23, "edge-based-discretization"]], "Enthalpy": [[20, "enthalpy"]], "Equation Systems": [[2, null], [43, "equation-systems"]], "EquationSystem": [[21, "equationsystem"]], "Error in temperature": [[51, "id28"]], "Error in x-component of velocity": [[51, "id25"]], "Error in y-component of velocity": [[51, "id26"]], "Error in z-component of velocity": [[51, "id27"]], "Errors due to Splitting and Stabilization": [[22, "errors-due-to-splitting-and-stabilization"]], "Examining Exodus-II Files": [[44, "examining-exodus-ii-files"]], "Exodus-II File Format": [[44, null]], "Expected result": [[48, "expected-result"], [48, "id2"]], "Field Data Access": [[21, "field-data-access"]], "Field Data Registration": [[21, "field-data-registration"]], "Filtered Mixture Fraction": [[32, "filtered-mixture-fraction"]], "Finite Element SUPG Form": [[31, "finite-element-supg-form"]], "Fixed Wing Verification Problem": [[51, "fixed-wing-verification-problem"]], "Fluid-Structure Interaction": [[43, "fluid-structure-interaction"]], "Forcing Term": [[32, "forcing-term"]], "General Findings": [[27, "general-findings"]], "General Pointwise Tips": [[41, "general-pointwise-tips"]], "GitHub Actions": [[12, "github-actions"]], "Governing Equations": [[36, "governing-equations"]], "HDF5 v1.10.4": [[37, "hdf5-v1-10-4"]], "HYPRE": [[37, "hypre"]], "High Level Nalu-Wind Abstractions": [[21, "high-level-nalu-wind-abstractions"]], "Higher Order 2D Steady Uniform Property: Taylor Vortex": [[51, "higher-order-2d-steady-uniform-property-taylor-vortex"]], "Homebrew": [[37, "homebrew"]], "Hybrid RANS/LES Models": [[35, "hybrid-rans-les-models"]], "Implementation Details": [[20, "implementation-details"]], "Inflow Boundary Condition": [[20, "inflow-boundary-condition"], [43, "inflow-boundary-condition"]], "Inflow-Outflow Capability": [[20, "inflow-outflow-capability"]], "Infrastructure Unit Test": [[51, "infrastructure-unit-test"]], "Initial & Boundary Conditions": [[36, "initial-boundary-conditions"]], "Initial conditions": [[36, "initial-conditions"], [43, "initial-conditions"]], "Inlet conditions": [[36, "inlet-conditions"]], "Install the Tools": [[8, "install-the-tools"]], "Intensity": [[20, "intensity"]], "Introduction": [[41, "introduction"], [50, null]], "Invoking Nalu-Wind - Command-line options": [[45, null]], "Kovasznay 2-D Flow": [[7, "kovasznay-2-d-flow"]], "Lame Properties": [[30, "lame-properties"]], "Laminar-Turbulent Transition Model Formulation": [[32, "laminar-turbulent-transition-model-formulation"]], "Lessons Learned": [[41, "lessons-learned"]], "Lessons Learned from Meshing the McAlister Case": [[41, null]], "Libxml2 v2.9.8": [[37, "libxml2-v2-9-8"]], "Linear Solver Interface": [[6, "linear-solver-interface"]], "Linear Solvers": [[43, "linear-solvers"]], "Linear Solvers Interface": [[3, "linear-solvers-interface"]], "Linear Solvers and Systems Interface": [[3, null]], "Linear Systems": [[3, "linear-systems"]], "Linux and OSX": [[37, "linux-and-osx"]], "Local or Projected NSO Diffusive Flux Coefficient": [[27, "local-or-projected-nso-diffusive-flux-coefficient"]], "Low Mach Number Derivation": [[25, null]], "Mac OS X or Linux": [[38, "mac-os-x-or-linux"]], "Make the Docs": [[8, "make-the-docs"]], "Material Properties": [[43, "material-properties"]], "Mesh Motion": [[43, "mesh-motion"]], "Mesh Motion/Displacement Utilities": [[7, "mesh-motion-displacement-utilities"]], "Mesh Transformation": [[43, "mesh-transformation"]], "Meshes": [[41, "meshes"]], "Meta and Bulk Data": [[21, "meta-and-bulk-data"]], "Mixture Fraction": [[20, "mixture-fraction"]], "Mixture Fraction, Enthalpy, Species, k_{sgs}, k and \\omega": [[20, "mixture-fraction-enthalpy-species-k-sgs-k-and-omega"]], "Momentum": [[20, "momentum"], [20, "id17"], [20, "id18"]], "Momentum Stress": [[23, "momentum-stress"]], "Momentum and Pressure": [[51, "momentum-and-pressure"]], "Momentum, Mixture Fraction, Enthalpy, Species, k_{sgs}, k and \\omega": [[20, "momentum-mixture-fraction-enthalpy-species-k-sgs-k-and-omega"]], "Monin-Obukhov Theory": [[20, "monin-obukhov-theory"]], "Moving Mesh": [[32, "moving-mesh"]], "Multi-Physics": [[26, null]], "NREL\u2019s Eagle Machine": [[38, "nrel-s-eagle-machine"]], "NSO Based on Kinetic Energy Residual": [[27, "nso-based-on-kinetic-energy-residual"]], "NSO as a Turbulence Model": [[27, "nso-as-a-turbulence-model"]], "Nalu Style Guide": [[13, null]], "Nalu-Wind": [[37, "nalu-wind"]], "Nalu-Wind - Theory Manual": [[24, null]], "Nalu-Wind - Verification Manual": [[49, null]], "Nalu-Wind Documentation": [[0, null]], "Nalu-Wind Input File": [[43, null]], "Nalu-Wind \u2013 Actuator Disk Model via OpenFAST": [[36, "nalu-wind-actuator-disk-model-via-openfast"]], "Nalu-Wind \u2013 OpenFAST Coupling Algorithm": [[36, "nalu-wind-openfast-coupling-algorithm"]], "NetCDF v4.6.1": [[37, "netcdf-v4-6-1"]], "NetCDF v4.6.1 and Parallel NetCDF v1.8.0": [[37, "netcdf-v4-6-1-and-parallel-netcdf-v1-8-0"]], "Non-Conformal Boundary": [[43, "non-conformal-boundary"]], "Non-conformal Boundary Condition": [[20, "non-conformal-boundary-condition"]], "Nonlinear Stabilization Operator (NSO)": [[27, null]], "Notes on Geometry": [[41, "notes-on-geometry"]], "Numerical Discretization & Stabilization": [[36, "numerical-discretization-stabilization"]], "One Equation k^{sgs}": [[35, "one-equation-k-sgs"]], "Open Boundary Condition": [[20, "open-boundary-condition"], [43, "open-boundary-condition"]], "Open Boundary Condition With Outflow Thermal Stratification": [[51, "open-boundary-condition-with-outflow-thermal-stratification"]], "Other Exodus-II Utilities": [[44, "other-exodus-ii-utilities"]], "Outlet conditions": [[36, "outlet-conditions"]], "Output Options": [[43, "output-options"]], "Overset": [[28, null]], "Overset Grid Assembly using Native STK Search": [[28, "overset-grid-assembly-using-native-stk-search"]], "Overset Grid Assembly using TIOGA": [[28, "overset-grid-assembly-using-tioga"]], "ParaView Catalyst": [[37, "paraview-catalyst"]], "Parabolic Temperature Profile: Equal Specified Temperature Gradients": [[51, "parabolic-temperature-profile-equal-specified-temperature-gradients"]], "Parallel NetCDF v1.8.0": [[37, "parallel-netcdf-v1-8-0"]], "Parallel Rules": [[21, "parallel-rules"]], "Parts": [[21, "parts"]], "Periodic Boundary Condition": [[20, "periodic-boundary-condition"], [43, "periodic-boundary-condition"]], "Physics Realm Options": [[43, "physics-realm-options"]], "Post-Processing Utilities": [[5, null]], "Post-processing": [[43, "post-processing"]], "Precursor-based Simulations": [[51, "precursor-based-simulations"]], "Preparation": [[48, "preparation"]], "Pressure Stabilization": [[29, null]], "Projected Nodal Gradients": [[23, "projected-nodal-gradients"]], "Projected nodal gradients": [[51, "projected-nodal-gradients"]], "Prolongation and Restriction": [[18, "prolongation-and-restriction"]], "Property Evaluations": [[30, null]], "Pure Edge-based Upwind Method": [[31, "pure-edge-based-upwind-method"]], "RANS Model Suite": [[32, "rans-model-suite"]], "RANS Models": [[35, "rans-models"]], "RTE Stabilization": [[31, null]], "Radiative Transport Equation": [[32, "radiative-transport-equation"]], "Realm": [[21, "realm"]], "Realms": [[6, "realms"]], "References": [[41, "references"], [52, null]], "Regression Test Case": [[48, "regression-test-case"]], "Restart Options": [[43, "restart-options"]], "Review of Prandtl, Schmidt and Unity Lewis Number": [[32, "review-of-prandtl-schmidt-and-unity-lewis-number"]], "Run CMake Configure": [[8, "run-cmake-configure"]], "Running": 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Nalu-Wind - Theory Manual2.8. Conservation of Species
  • 2.9. Subgrid-Scale Kinetic Energy One-Equation LES Model
  • 2.10. RANS Model Suite
    • -
  • 2.11. Detached Eddy Simulation (DES) Formulation
    • -
  • 2.12. Active Model Split (AMS) Formulation
    • -
  • 2.13. Solid Stress
    • -
  • 2.14. Moving Mesh
    • -
  • 2.15. Radiative Transport Equation
    • -
  • 2.16. Wall Distance Computation
    • +
  • 2.11. Laminar-Turbulent Transition Model Formulation
    • +
  • 2.12. Detached Eddy Simulation (DES) Formulation
    • +
  • 2.13. Active Model Split (AMS) Formulation
    • +
  • 2.14. Solid Stress
    • +
  • 2.15. Moving Mesh
    • +
  • 2.16. Radiative Transport Equation
    • +
  • 2.17. Wall Distance Computation
  • 3. Discretization Approach
      diff --git a/source/theory/supportedEquationSet.html b/source/theory/supportedEquationSet.html index fab3c64b8..eb09fbe76 100644 --- a/source/theory/supportedEquationSet.html +++ b/source/theory/supportedEquationSet.html @@ -74,19 +74,20 @@
    • 2.10.2. SST Mixing Length Limiter
    • -
  • 2.11. Detached Eddy Simulation (DES) Formulation
    • -
  • 2.12. Active Model Split (AMS) Formulation
  • 3. Discretization Approach
    • @@ -720,13 +721,37 @@

    2.10.1. Shear Stress Transport (SST) For

    where \(\Omega\) is the earth’s angular velocity and \(\lambda\) is the latitude.

    +
    +

    2.11. Laminar-Turbulent Transition Model Formulation

    +

    To account for the effects of the laminar-turbulent boundary layer transition, +Menter’s one-equation \(\gamma\) transition model :cite:`Menter:2015` is coupled with the SST model. +The model consists of single transport equation for intermittency

    +
    +\[\frac{D(\rho \gamma)}{Dt}=P_{\gamma}-D_{\gamma}+\frac{\partial }{\partial x_j}\left[ (\mu + \frac{\mu_t}{\sigma_{\gamma}} )\frac{\partial \gamma}{\partial x_j} \right]\]
    +

    The production term, \(P_{\gamma}\), and destruction term, \(D_{\gamma}\), are as:

    +
    +\[P_{\gamma}=F_{length} \rho S \gamma (1-\gamma) F_{onset}, \quad D_{\gamma}=C_{a2} \rho \Omega \gamma F_{turb} (C_{e2}\gamma-1)\]
    +

    The model constants are:

    +
    +\[F_{length}=100, \quad c_{e2}=50, \quad c_{a2}=0.06, \quad \sigma_{\gamma}=1.0\]
    +

    The transition onset criteria of the model are defined as:

    +
    +\[F_{onset1}=\frac{Re_{v}}{2.2Re_{\theta c}}, \quad F_{onset2}=(F_{onset1},2.0 )\]
    +
    +\[F_{onset3}=\max \left(1- \left (\frac{R_{T}}{3.5}\right)^3,0 \right ), \quad F_{onset}=\max(F_{onset2}-F_{onset3},0)\]
    +
    +\[F_{turb}=e^{-\left ( \frac{R_{T}}{2} \right )^{4}}, \quad R_T=\frac{\rho k}{\mu \omega}, \quad Re_v=\frac{\rho d_{w}^2S}{\mu}\]
    +

    The transition onset occurs once the scaled vorticity Reynolds number, \(Re_{v}/2.2\), exceeds the critical momentum thickness Reynolds number, \(Re_{\theta c}\), from the empirical correlations.

    +

    The output intermittency from the transition model is applied to both the production and destruction terms of the turbulent kinetic energy +transport equation.

    +
    -

    2.11. Detached Eddy Simulation (DES) Formulation

    +

    2.12. Detached Eddy Simulation (DES) Formulation

    The DES technique is also supported in the code base when the SST model is activated. This model seeks to formally relax the RANS-based approach and allows for a theoretical basis to allow for transient flows. The method follows the method of Temporally Filtered NS formulation as -described by Tieszen, :cite:`Tieszen:2005`.

    +described by Tieszen, :cite:`Tieszen:2005`.

    The SST DES model simply changes the turbulent kinetic energy equation to include a new minimum scale that manipulates the dissipation term.

    @@ -739,9 +764,9 @@

    2.10.1. Shear Stress Transport (SST) For node.

    -

    2.12. Active Model Split (AMS) Formulation

    +

    2.13. Active Model Split (AMS) Formulation

    The AMS approach is a recently developed hybrid RANS/LES framework by Haering, -Oliver and Moser :cite:`Haering-etal:2020`. In this approach a triple +Oliver and Moser :cite:`Haering-etal:2020`. In this approach a triple decomposition is used, breaking the instantaneous velocity field into an average component \(<u_i>\), a resolved fluctuation \(u_i^>\) and an unresolved fluctuation \(u_i^<\). The subgrid stress is @@ -766,13 +791,13 @@

    2.12. Active Model Split (AMS) Formulati + \int \left( \mu_{ik}^t \widetilde{u}_j + \mu_{jk}^t \widetilde{u}_i \right) n_k {\rm d}S + \int f_i {\rm d}V.\end{split}\]
    -

    2.12.1. Split subgrid model stress

    +

    2.13.1. Split subgrid model stress

    In a typical Hybrid RANS/LES approach, the observation that the LES and RANS equations take on the same mathematical form is leveraged, relying simply on a modified turbulent viscosity coefficient that takes into account the ability to resolve some turbulent content. Due to deficiencies in this approach as discussed in Haering et -al. :cite:`Haering-etal:2020`, an alternative approach where the modeled term +al. :cite:`Haering-etal:2020`, an alternative approach where the modeled term is split into two contributions, one representing the impact on the mean flow and one the impact on the resolved fluctuations, from the unresolved content, is used in the Active Model Split (AMS) @@ -812,7 +837,7 @@

    2.12.1. Split subgrid model stress\(k_{res} = 0.5 \langle u_i^> u_i^> \rangle\), a measure of the average resolved turbulent kinetic energy.

    \(\tau_{ij}^{SGET}\) is modeled using the M43 SGS model discussed -in Haering et al. :cite:`HaeringAIAA`. This uses an anisotropic +in Haering et al. :cite:`HaeringAIAA`. This uses an anisotropic representation, \(\tau_{ij} = \nu_{jk} \partial_k u_i + \nu_{ik} \partial_k u_j\), of the stress tensor and a tensorial eddy viscosity, \(\nu_{ij} = C(\mathcal{M}) \langle \epsilon \rangle^{1/3} @@ -832,7 +857,7 @@

    2.12.1. Split subgrid model stress

    -

    2.12.2. Averaging functions

    +

    2.13.2. Averaging functions

    The averaging algorithms are invoked as part of the AMSAlgDriver and are called from the pre_iter_work function so that they are executed at the beginning of each Picard @@ -869,7 +894,7 @@

    2.12.2. Averaging functions -

    2.12.3. Dynamic Hybrid Diagnostics

    +

    2.13.3. Dynamic Hybrid Diagnostics

    Typically in a hybrid model, it is necessary to have diagnostics that assess the ability of the grid to resolve turbulent content and to aid in its introduction. In AMS, there are two main diagnostic @@ -901,11 +926,11 @@

    2.12.3. Dynamic Hybrid Diagnostics.

    -

    2.12.4. Forcing Term

    +

    2.13.4. Forcing Term

    When the grid is capable of resolving some turbulent content, the model will want to reduce the modeled stress and allow for resolved turbulence to contribute the remaining piece of the total stress. As -discussed in Haering et al. :cite:`Haering-etal:2020` and the observation of +discussed in Haering et al. :cite:`Haering-etal:2020` and the observation of “modeled-stress depletion” in other hybrid approaches, such as DES, a mechanism for inducing resolved turbulent fluctuations at proper energy levels and timescales to match your reduction of the modeled @@ -969,14 +994,14 @@

    2.12.3. Dynamic Hybrid DiagnosticsMomentumSSTAMSForcingNodeKernel.

    -

    2.12.5. AMS with SST Mixing Length Limiter

    +

    2.13.5. AMS with SST Mixing Length Limiter

    When using AMS with SST as the mean (RANS) contribution to model the Atmospheric Boundary Layer with the Coriolis effect, SST should include a mixing length limiter. The mixing length limiter is described in SST Mixing Length Limiter. For consistency, when using the limiter the RANS time scale, \(T_{RANS}^*\), should depend on the mixing length rather than \(\omega\) to account for the effect of the limiter. The time scale becomes

    \[T_{RANS}^* = \frac{l_t}{\sqrt{k}}.\]

    -

    2.13. Solid Stress

    +

    2.14. Solid Stress

    A fully implicit CVFEM (only) linear elastic equation is supported in the code base. This equation is either used for true solid stress prediction or for smoothing the mesh due to boundary mesh motion (either @@ -1017,7 +1042,7 @@

    2.13. Solid Stress(2.33)\[v_i = \frac{\gamma_1 u^{n+1}_i + \gamma_2 u^n_i + \gamma_3 u^{n-1}_i}{\Delta t}\]

    -

    2.14. Moving Mesh

    +

    2.15. Moving Mesh

    The code base supports three notions of moving mesh: 1) linear elastic equation system that computes the stress of a solid 2) solid body rotation mesh motion and 3) mesh deformation via an external @@ -1062,7 +1087,7 @@

    2.14. Moving Mesh

    -

    2.15. Radiative Transport Equation

    +

    2.16. Radiative Transport Equation

    The spatial variation of the radiative intensity corresponding to a given direction and at a given wavelength within a radiatively participating material, \(I(s)\), is governed by the Boltzmann @@ -1118,11 +1143,11 @@

    2.15. Radiative Transport Equation

    where \(\theta_{zn}\) and \(\theta_{az}\) are the zenith and azimuthal angles respectively as shown in Figure 2.1.

    -
    +
    Ordinate Direction Definition

    2.1 Ordinate Direction Definition, -\({\bf s} = \sin \theta_{zn} \sin \theta_{az} {\bf i} + \cos \theta_{zn} {\bf j} + \sin \theta_{zn} \cos \theta_{az} {\bf k}\).

    +\({\bf s} = \sin \theta_{zn} \sin \theta_{az} {\bf i} + \cos \theta_{zn} {\bf j} + \sin \theta_{zn} \cos \theta_{az} {\bf k}\).

    The radiation intensity must be defined at all portions of the boundary @@ -1148,7 +1173,7 @@

    2.15. Radiative Transport Equationwhere it is implied that \(\alpha = \epsilon\).

    -

    2.16. Wall Distance Computation

    +

    2.17. Wall Distance Computation

    RANS and DES simulations using \(k-\omega\) SST or SST-DES equations requires the specification of a wall distance for computing various turbulence parameters. For static mesh @@ -1156,7 +1181,7 @@

    2.16. Wall Distance Computation:cite:`Tucker2003`) to determine the wall distance \(d\) using the +(:cite:`Tucker2003`) to determine the wall distance \(d\) using the gradients of a field \(\phi\).

    \[\begin{split}\nabla^2 \phi &= 1 \\