From be2dee89f0bb9c482ea8b7b08e795272f79bac81 Mon Sep 17 00:00:00 2001 From: "Stefan P. Domino" Date: Tue, 1 Mar 2022 14:42:13 -0700 Subject: [PATCH] clean-up and correct lab docs (#580) * added new he plume; with write_up. * added new break sim; with write_up. * added Rec IC for VOF. * updated all pdfs for write ups. * updated xml and inpout file for examples. * modify break write up --- examples/hula/milestone.xml | 1 - examples/shapes/dgSquare_R0.i | 2 +- examples/shapes/milestone.xml | 1 - .../street/milestone_aspect_ratio_smooth.xml | 1 - .../user_functions/RecMixFracAuxFunction.h | 40 ++++ reg_tests/CTestList.cmake | 2 + .../write_up/2d_quad4_channel_laboratory.pdf | Bin 239507 -> 239737 bytes .../write_up/2d_quad4_channel_laboratory.tex | 5 +- .../write_up/2d_quad9_couette_laboratory.pdf | Bin 227567 -> 227796 bytes .../write_up/2d_quad9_couette_laboratory.tex | 9 +- .../2d_quad9_helium/2d_quad9_helium.i | 177 ++++++++++++++++ .../2d_quad9_helium/2d_quad9_helium.norm.gold | 100 +++++++++ .../2d_quad9_helium/mesh/2d_quad4_helium.exo | Bin 0 -> 343076 bytes .../2d_quad9_helium/mesh/2d_quad9_helium.exo | Bin 0 -> 941708 bytes .../write_up/2d_quad9_helium_laboratory.pdf | Bin 0 -> 245366 bytes .../write_up/2d_quad9_helium_laboratory.tex | 154 ++++++++++++++ .../2d_quad9_helium/write_up/Makefile | 8 + .../images/2d_quad9_helium_centerline.png | Bin 0 -> 55693 bytes .../write_up/images/2d_quad9_helium_geom.png | Bin 0 -> 58296 bytes .../3d_hex8_dam_break/3d_hex8_dam_break.i | 195 ++++++++++++++++++ .../3d_hex8_dam_break.norm.gold | 40 ++++ .../mesh/3d_hex8_dam_break.exo | Bin 0 -> 2066488 bytes .../write_up/3d_hex8_dam_break_laboratory.pdf | Bin 0 -> 368070 bytes .../write_up/3d_hex8_dam_break_laboratory.tex | 178 ++++++++++++++++ .../3d_hex8_dam_break/write_up/Makefile | 8 + .../images/3d_hex8_dam_break_geom.png | Bin 0 -> 14741 bytes .../write_up/images/results_0p50sec.png | Bin 0 -> 29632 bytes .../write_up/images/results_0p75sec.png | Bin 0 -> 35117 bytes .../write_up/images/results_1p0sec.png | Bin 0 -> 37750 bytes .../write_up/images/results_2p0sec.png | Bin 0 -> 42268 bytes .../write_up/images/results_3p0sec.png | Bin 0 -> 42447 bytes .../write_up/images/results_4p0sec.png | Bin 0 -> 39770 bytes .../write_up/postP/H1_exp.dat | 105 ++++++++++ .../write_up/postP/H2_exp.dat | 66 ++++++ .../write_up/postP/H3_exp.dat | 50 +++++ .../write_up/3d_hex8_open_jet_laboratory.pdf | Bin 579610 -> 579764 bytes .../write_up/3d_hex8_open_jet_laboratory.tex | 11 +- .../write_up/3d_tet4_pipe_laboratory.pdf | Bin 473917 -> 474265 bytes .../write_up/3d_tet4_pipe_laboratory.tex | 5 +- .../test_files/laboratory/make_them_all.sh | 29 +++ src/VolumeOfFluidEquationSystem.C | 5 + src/user_functions/RecMixFracAuxFunction.C | 54 +++++ 42 files changed, 1229 insertions(+), 17 deletions(-) create mode 100644 include/user_functions/RecMixFracAuxFunction.h create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.i create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.norm.gold create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/mesh/2d_quad4_helium.exo create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/mesh/2d_quad9_helium.exo create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/write_up/2d_quad9_helium_laboratory.pdf create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/write_up/2d_quad9_helium_laboratory.tex create mode 100755 reg_tests/test_files/laboratory/2d_quad9_helium/write_up/Makefile create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/write_up/images/2d_quad9_helium_centerline.png create mode 100644 reg_tests/test_files/laboratory/2d_quad9_helium/write_up/images/2d_quad9_helium_geom.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/3d_hex8_dam_break.i create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/3d_hex8_dam_break.norm.gold create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/mesh/3d_hex8_dam_break.exo create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/3d_hex8_dam_break_laboratory.pdf create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/3d_hex8_dam_break_laboratory.tex create mode 100755 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/Makefile create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/3d_hex8_dam_break_geom.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/results_0p50sec.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/results_0p75sec.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/results_1p0sec.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/results_2p0sec.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/results_3p0sec.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/results_4p0sec.png create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/postP/H1_exp.dat create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/postP/H2_exp.dat create mode 100644 reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/postP/H3_exp.dat create mode 100755 reg_tests/test_files/laboratory/make_them_all.sh create mode 100644 src/user_functions/RecMixFracAuxFunction.C diff --git a/examples/hula/milestone.xml b/examples/hula/milestone.xml index 6c65f061..6d0750da 100644 --- a/examples/hula/milestone.xml +++ b/examples/hula/milestone.xml @@ -14,7 +14,6 @@ - diff --git a/examples/shapes/dgSquare_R0.i b/examples/shapes/dgSquare_R0.i index 8e4b5542..3c3d423e 100644 --- a/examples/shapes/dgSquare_R0.i +++ b/examples/shapes/dgSquare_R0.i @@ -25,7 +25,7 @@ linear_solvers: realms: - name: realm_1 - mesh: mesh/square_R0.g + mesh: square_R0.g use_edges: no automatic_decomposition_type: rcb diff --git a/examples/shapes/milestone.xml b/examples/shapes/milestone.xml index 6c65f061..6d0750da 100644 --- a/examples/shapes/milestone.xml +++ b/examples/shapes/milestone.xml @@ -14,7 +14,6 @@ - diff --git a/examples/street/milestone_aspect_ratio_smooth.xml b/examples/street/milestone_aspect_ratio_smooth.xml index 903f0df4..f45d495a 100644 --- a/examples/street/milestone_aspect_ratio_smooth.xml +++ b/examples/street/milestone_aspect_ratio_smooth.xml @@ -15,7 +15,6 @@ - diff --git a/include/user_functions/RecMixFracAuxFunction.h b/include/user_functions/RecMixFracAuxFunction.h new file mode 100644 index 00000000..ad969bff --- /dev/null +++ b/include/user_functions/RecMixFracAuxFunction.h @@ -0,0 +1,40 @@ +/*------------------------------------------------------------------------*/ +/* Copyright 2014 Sandia Corporation. */ +/* This software is released under the license detailed */ +/* in the file, LICENSE, which is located in the top-level Nalu */ +/* directory structure */ +/*------------------------------------------------------------------------*/ + +#ifndef RecMixFracAuxFunction_h +#define RecMixFracAuxFunction_h + +#include + +#include + +namespace sierra{ +namespace nalu{ + +class RecMixFracAuxFunction : public AuxFunction +{ +public: + + RecMixFracAuxFunction(); + + virtual ~RecMixFracAuxFunction() {} + + virtual void do_evaluate( + const double * coords, + const double time, + const unsigned spatialDimension, + const unsigned numPoints, + double * fieldPtr, + const unsigned fieldSize, + const unsigned beginPos, + const unsigned endPos) const; +}; + +} // namespace nalu +} // namespace Sierra + +#endif diff --git a/reg_tests/CTestList.cmake b/reg_tests/CTestList.cmake index f29681bb..3d49c710 100644 --- a/reg_tests/CTestList.cmake +++ b/reg_tests/CTestList.cmake @@ -182,4 +182,6 @@ if(ENABLE_LABORATORY_TESTS) 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The streamwise and vertical velocity are @@ -39,6 +39,7 @@ \section{Theory} \label{fig:geom} \end{figure} +\section{Theory} The variable-density low-Mach equation set is defined by the continuity and momentum equation, \begin{align} @@ -154,7 +155,7 @@ \section{Discussion Points} \item Ensure that derivation of Equation~\ref{eq:uMax} is clear. \item Ensure that derivation of Equation~\ref{eq:balance} and the expression $\frac{dP}{dx} = 2\tau_w$ is clear. - \item Explore the mesh and input file associated with this case. + \item Explore the mesh and input file specifications associated with this case. \item In Figure~\ref{fig:results}, it is noted that the difference between the analytical and simulation result is zero. When you run the two mesh resolutions provided, does this finding hold? 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a/reg_tests/test_files/laboratory/2d_quad9_couette/write_up/2d_quad9_couette_laboratory.tex b/reg_tests/test_files/laboratory/2d_quad9_couette/write_up/2d_quad9_couette_laboratory.tex index ad3aa98d..26f28632 100644 --- a/reg_tests/test_files/laboratory/2d_quad9_couette/write_up/2d_quad9_couette_laboratory.tex +++ b/reg_tests/test_files/laboratory/2d_quad9_couette/write_up/2d_quad9_couette_laboratory.tex @@ -17,7 +17,7 @@ \section{Introduction} This case provides a description for two-dimensional Couette flow with constant properties, and a zero pressure gradient. -\section{Theory} +\section{Domain} The two-dimensional geometry for this tutorial is captured in Figure~\ref{fig:geom} where the rectangular domain is defined by the height, $H$, and length, $L$. The streamwise and vertical velocity are @@ -39,6 +39,7 @@ \section{Theory} \label{fig:geom} \end{figure} +\section{Theory} The variable-density low-Mach equation set is defined by the continuity and momentum equation, \begin{align} @@ -113,13 +114,13 @@ \subsection{Simulation Specification and Results} provided above. \begin{figure}[!htbp] - \subfloat[] \centering + \subfloat[] { \includegraphics[height=1.2in]{images/2d_quad9_couette_results_early.png} } - \subfloat[] \centering + \subfloat[] { \includegraphics[height=1.2in]{images/2d_quad9_couette_results_late.png} } @@ -134,7 +135,7 @@ \section{Discussion Points} \begin{itemize} \item Ensure that derivation of Equation~\ref{eq:simpleEqWithoutK} is clear. - \item Explore the mesh and input file associated with this case. + \item Explore the mesh and input file specifications associated with this case. \item In Figure~\ref{fig:results}, the flow results demonstrate a linear profile, as expected. Based on past experience with a linear basis, comment on the usage of a quadratic basis. diff --git a/reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.i b/reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.i new file mode 100644 index 00000000..b8c6672c --- /dev/null +++ b/reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.i @@ -0,0 +1,177 @@ +Simulation: + name: NaluSim + +linear_solvers: + + - name: solve_adv_diff + type: tpetra + method: gmres + preconditioner: sgs + tolerance: 1e-5 + max_iterations: 50 + kspace: 50 + output_level: 0 + + - name: solve_cont + type: tpetra + method: gmres + preconditioner: muelu + tolerance: 1e-5 + max_iterations: 75 + kspace: 75 + output_level: 0 + recompute_preconditioner: false + muelu_xml_file_name: ../../../xml/milestone_aspect_ratio_smooth.xml + +realms: + + - name: realm_1 + mesh: mesh/2d_quad9_helium.exo + use_edges: no + automatic_decomposition_type: rcb + + equation_systems: + name: theEqSys + max_iterations: 4 + + solver_system_specification: + velocity: solve_adv_diff + mixture_fraction: solve_adv_diff + pressure: solve_cont + dpdx: solve_adv_diff + + systems: + + - LowMachEOM: + name: myLowMach + max_iterations: 1 + convergence_tolerance: 1e-2 + + - MixtureFraction: + name: myZ + max_iterations: 1 + convergence_tolerance: 1.e-2 + output_clipping_diagnostic: yes + + initial_conditions: + - constant: ic_1 + target_name: block_1 + value: + pressure: 0 + velocity: [0,0] + mixture_fraction: 0.0 + + material_properties: + target_name: block_1 + + specifications: + + - name: density + type: mixture_fraction + primary_value: 0.163 + secondary_value: 1.18 + + - name: viscosity + type: mixture_fraction + primary_value: 1.967e-5 + secondary_value: 1.85e-5 + + boundary_conditions: + + - inflow_boundary_condition: bc_inflow + target_name: surface_1 + inflow_user_data: + velocity: [0.0,0.340,0.0] + mixture_fraction: 1.0 + + - wall_boundary_condition: bc_bottom + target_name: surface_2 + wall_user_data: + velocity: [0,0,0] + + - open_boundary_condition: bc_side + target_name: surface_3 + open_user_data: + velocity: [0,0,0] + pressure: 0.0 + mixture_fraction: 0.0 + use_total_pressure: yes + + - open_boundary_condition: bc_top + target_name: surface_4 + open_user_data: + velocity: [0,0,0] + pressure: 0.0 + mixture_fraction: 0.0 + use_total_pressure: yes + + solution_options: + name: myOptions + turbulence_model: laminar + + divU_stress_scaling: 1.0 + + reduced_sens_cvfem_poisson: no + + use_consolidated_solver_algorithm: yes + use_consolidated_face_elem_bc_algorithm: yes + + options: + + - laminar_schmidt: + mixture_fraction: 0.9 + + - turbulent_schmidt: + mixture_fraction: 1.0 + + - element_source_terms: + momentum: [momentum_time_derivative, advection_diffusion, buoyancy, NSO_2ND_ALT] + continuity: [density_time_derivative, advection] + mixture_fraction: [mixture_fraction_time_derivative, advection_diffusion, NSO_2ND] + + - user_constants: + gravity: [0.0,-9.81,0.0] + reference_density: 1.18 + + - consistent_mass_matrix_png: + pressure: yes + + turbulence_averaging: + time_filter_interval: 10.0 + specifications: + - name: one + target_name: block_1 + reynolds_averaged_variables: + - velocity + - mixture_fraction + favre_averaged_variables: + - velocity + - mixture_fraction + + output: + output_data_base_name: output/2d_quad9_helium.e + output_frequency: 50 + output_node_set: no + output_variables: + - velocity + - pressure + - mixture_fraction + - density + - density_ra_one + - velocity_ra_one + - velocity_fa_one + - mixture_fraction_ra_one + - mixture_fraction_fa_one + +Time_Integrators: + - StandardTimeIntegrator: + name: ti_1 + start_time: 0 + termination_time: 0.1 + time_step: 0.001 + time_stepping_type: fixed + time_step_count: 0 + second_order_accuracy: yes + + realms: + - realm_1 diff --git a/reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.norm.gold b/reg_tests/test_files/laboratory/2d_quad9_helium/2d_quad9_helium.norm.gold 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method: gmres + preconditioner: muelu + tolerance: 1e-5 + max_iterations: 75 + kspace: 75 + output_level: 0 + recompute_preconditioner: true + muelu_xml_file_name: ../../../xml/milestone_aspect_ratio_smooth.xml + +realms: + + - name: fluidRealm + mesh: mesh/3d_hex8_dam_break.exo + use_edges: no + automatic_decomposition_type: rcb + + equation_systems: + name: theEqSys + max_iterations: 2 + + solver_system_specification: + velocity: solve_scalar + volume_of_fluid: solve_scalar + pressure: solve_cont + + systems: + + - VolumeOfFluid: + name: myV + max_iterations: 1 + convergence_tolerance: 1.e-2 + activate_smoothing: yes + fourier_number: 0.25 + smoothing_iterations: 5 + compression_constant: 0.1 + + - LowMachEOM: + name: myLowMach + max_iterations: 1 + convergence_tolerance: 1e-2 + + initial_conditions: + + - user_function: icUser + target_name: block_1 + user_function_name: + volume_of_fluid: rectangle + + - constant: ic_top + target_name: block_1 + value: + velocity: [0,0,0] + pressure: 0.0 + + material_properties: + target_name: [block_1] + + specifications: + + - name: density + type: volume_of_fluid + phase_one: 1000.0 + phase_two: 1.0 + + - name: viscosity + type: volume_of_fluid + phase_one: 1.0e-3 + phase_two: 1.98e-5 + + - name: surface_tension + type: constant + value: 0.07 + + boundary_conditions: + + - wall_boundary_condition: bc_bottom + target_name: surface_1 + wall_user_data: + velocity: [0.0,0.0,0.0] + + - wall_boundary_condition: bc_wrap + target_name: surface_2 + wall_user_data: + velocity: [0.0,0.0,0.0] + + - open_boundary_condition: bc_open + target_name: surface_3 + open_user_data: + velocity: [0.0,0.0,0.0] + pressure: 0.0 + volume_of_fluid: 0.0 + + - wall_boundary_condition: bc_front + target_name: surface_4 + wall_user_data: + velocity: [0.0,0.0,0.0] + + solution_options: + name: myOptions + + use_consolidated_solver_algorithm: yes + use_consolidated_face_elem_bc_algorithm: yes + + activate_balanced_force_algorithm: yes + activate_buoyancy_pressure_stabilization: yes + + options: + + - element_source_terms: + momentum: [lumped_momentum_time_derivative, advection_diffusion, NSO_2ND_ALT] + continuity: [vof_advection] + volume_of_fluid: [lumped_mass, scs_advection, sucv_nso, sharpen] + + - user_constants: + gravity: [0.0, 0.0, -9.81] + reference_density: 0.0 + + data_probes: + + output_frequency: 5 + + search_tolerance: 1.0e-3 + search_expansion_factor: 2.0 + + specifications: + + - name: probe_volume + from_target_part: block_1 + + line_of_site_specifications: + - name: H3_Pstab_R0 + number_of_points: 101 + tip_coordinates: [0.582, 0.0, 0.8] + tail_coordinates: [0.582, 0.0, 0.0] + + - name: H2_Pstab_R0 + number_of_points: 101 + tip_coordinates: [1.732, 0.0, 0.8] + tail_coordinates: [1.732, 0.0, 0.0] + + - name: H1_Pstab_R0 + number_of_points: 101 + tip_coordinates: [2.228, 0.0, 0.8] + tail_coordinates: [2.228, 0.0, 0.0] + + output_variables: + - field_name: volume_of_fluid + field_size: 1 + - field_name: volume_of_fluid_smoothed + field_size: 1 + + output: + output_data_base_name: output/3d_hex8_dam_break.e + output_frequency: 20 + output_node_set: no + output_variables: + - velocity + - pressure + - volume_of_fluid + - volume_of_fluid_smoothed + - interface_normal + - interface_curvature + - surface_tension + - dvofdx + - density + - viscosity + +Time_Integrators: + - StandardTimeIntegrator: + name: ti_1 + start_time: 0 + termination_time: 0.10 + time_step: 0.00250 + time_stepping_type: fixed + time_step_count: 0 + second_order_accuracy: yes + + realms: + - fluidRealm diff --git a/reg_tests/test_files/laboratory/3d_hex8_dam_break/3d_hex8_dam_break.norm.gold b/reg_tests/test_files/laboratory/3d_hex8_dam_break/3d_hex8_dam_break.norm.gold new file mode 100644 index 00000000..d5603a6a --- /dev/null +++ b/reg_tests/test_files/laboratory/3d_hex8_dam_break/3d_hex8_dam_break.norm.gold @@ -0,0 +1,40 @@ +0.0006901171213110087 1 0.0025 +0.0004566111289355282 2 0.005 +0.0003019974368271943 3 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zfYv!!!DL=^mS%Z!*1AtL(P?xYrDC)IXYO~ZZ^2Y=r1*JEXMt;GtE;{Te7RK;VN|$I o|K>XN1n;>(h4SA|&;@Mj4EAt-J2L<;ACCYZDjl7)iVW)i0p-c9NB{r; literal 0 HcmV?d00001 diff --git a/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/3d_hex8_dam_break_laboratory.tex b/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/3d_hex8_dam_break_laboratory.tex new file mode 100644 index 00000000..8b07aee6 --- /dev/null +++ b/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/3d_hex8_dam_break_laboratory.tex @@ -0,0 +1,178 @@ +\documentclass{article} + +\usepackage{graphicx} +\usepackage{subfig} +\usepackage{amsmath} + +\newcommand{\norm}[1]{\| #1 \|} + +\title{Three-dimensional Dam Break} + +\date{} + +\begin{document} + +\maketitle + +\section{Introduction} +This case provides a description for three-dimensional dam break +use case in which a volume of fluid formulation is used in the presence +of air and water mixing. + +\section{Domain} +The three-dimensional geometry for this tutorial is captured in +Figure~\ref{fig:geom}. A tank of dimension 3.22 x 1 x 1 m in the +streamwise (x-), vertical (y-), and spanwise direction (z-direction), +respectively, includes +a rectangular obstruction (0.161 meter in height, +0.403 m in width, and 0.16 m in length) 0.6635 m from the end of the domain. +An initial block of water 0.55 m in height and 1.228 m in length +(spanning the full width of the tank) is released, ~\cite{kleefsman2005}. + +The top boundary is an open boundary in which a static +pressure is supplied. All other boundary surfaces are specified to +be a no-slip wall boundary condition. + +\begin{figure}[!htbp] + \centering + { + \includegraphics[height=2.0in]{images/3d_hex8_dam_break_geom.png} + } + \caption{Three-dimensional dam break geometry. Also shown are the experimental height probes that +are ordered from the obstruction backward, H1, H2, and H3.} + \label{fig:geom} +\end{figure} + +\section{Theory} +The air/water configuration is represented by the following set of +transport equations, + +Continuity: +\begin{align} + \frac{ \partial u_j}{\partial x_j} = 0. +\label{eq:contEq} +\end{align} + +Momentum: +\begin{align} + \frac {\partial \rho u_i }{\partial t} + \frac{ \partial \rho u_j u_i}{\partial x_j} +-\frac{\partial \sigma_{ij}}{\partial x_j} = F_i. +\label{eq:momEq} +\end{align} + +Volume of Fluid: +\begin{align} + \frac{\partial \alpha}{\partial t} + u_j \frac{ \partial \alpha }{\partial x_j} = 0. +\label{eq:contEq} +\end{align} + +% +In the above equation, $\rho$ is the fluid density, $\alpha$ is the volume of fluid, +and $u_j$ is the fluid velocity. +The stress tensor is provided by +\begin{align} +\sigma_{ij} = 2 \mu S^*_{ij} - P \delta_{ij}, +\end{align} +% +where the traceless rate-of-strain tensor is defined as +\begin{align} +S^*_{ij} = S_{ij} - \frac{1}{3} \delta_{ij} S_{kk} \nonumber + = S_{ij} - \frac{1}{3} \frac{\partial u_k }{\partial x_k}\delta_{ij}. +\end{align} +The momentum equation includes the general source term $F_i$, which contains +both gravitational, $\rho g_i$, and surface tension +effects, $\sigma \kappa \frac{\partial \alpha}{\partial x_i}$. Here, +$\sigma$ is the surface tension of the liquid and $\kappa$ is the +curvature, $\kappa = -\frac{\partial n_j}{\partial x_j}$, with the +surface normal, $n_j$, defined as, + +\begin{align} + n_j = \frac{\frac{\partial \alpha}{ \partial x_j}} {\norm{\frac{\partial \alpha}{ \partial x_j}}}, +\label{vofNorm} +\end{align} + +In a low-Mach flow, the above pressure, $P$, is the perturbation about the thermodynamic +pressure, $P^{th}$. Surface tension can also be applied in this configuration. + +Properties as a function of the volume of fluid via a linear relationship, +\begin{align} +\phi = \phi^L \alpha^L + \phi^G\left(1-\alpha \right), +\end{align} +where $\phi^L$ and $\phi^G$ are the properties at a pure liquid and gas state, respectively. Therefore, +$\alpha$ is interpreted at the volume fraction of liquid, where a value of unity implies pure liquid. +The isosurface of $1/2$ represents the diffuse interface between liquid and air. + +The underlying methodology exercises a balanced-force method for pressure stabilization +in the presence of multi-phase flow, see Francois \textit{et al.}~\cite{francois2006} and +the more recent unstructured control-volume finite element method work of Domino and +Horne~\cite{dominoHorne2022}. + +\section{Results} +We follow the numerical validation approach of Kleefsman \textit{et al.}~\cite{kleefsman2005} +where prediction of water level heights at various stations and time are provided. These +data files are available in the postP directory. + +\subsection{Simulation Specification and Results} + +The density of air and water are specified to be 1 and 1000 $kg/m^3$, respectively, +while the viscosity for air and water are 1.98e-5 and 1.0e-3 $Pa-s$, respectively. The +coarse mesh simulation exercises a Hex8 linear element. + +In Figure~\ref{fig:results}, results are provided for the specifications +provided above. + +\begin{figure}[!htbp] + \centering + { + \includegraphics[height=1.2in]{images/results_0p50sec.png} + } + \centering + { + \includegraphics[height=1.2in]{images/results_0p75sec.png} + } + \centering + { + \includegraphics[height=1.2in]{images/results_1p0sec.png} + } \\ + \centering + { + \includegraphics[height=1.2in]{images/results_2p0sec.png} + } + \centering + { + \includegraphics[height=1.2in]{images/results_3p0sec.png} + } + \centering + { + \includegraphics[height=1.2in]{images/results_4p0sec.png} + } + \caption{Volume of fluid evolution at 0.5, 0.75, 1.0, 2.0, 3.0, and 4.0 seconds.} + \label{fig:results} +\end{figure} + +\section{Discussion Points} + +There are several interesting activities associated with this sample case including +the following: + +\begin{itemize} + \item Explore the mesh and input file specifications associated with this case. + \item Replicate Figure~\ref{fig:results} using Paraview. Here, load the data set and perform a + ``clip'' based on the scalar value of volume of fluid to be one-half. + \item Probe all degree-of-freedom results, i.e., velocity and pressure. What is of interest? + \item Set the line command ``activate\_buoyancy\_pressure\_stabilization: no'', and add an + additional source term to the momentum system by the name $buoyancy$. Re-run and report + and differences. +\end{itemize} + +\begin{thebibliography}{100} + +\bibitem{kleefsman2005} Kleefsman, K., Fekken, G., Veldman, A., Iwanowski, B., and Buchner, B., \emph{A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework}, Journal of Computational Physics, Vol. 1, pp.141-173, 2006. + +\bibitem{francois2006} Francois, M. M., Cummins, S. J., Dendy, E. D., Kothe, D. B., Sicilian, J. M., Williams, M. W., \emph{A Volume-of-Fluid based simulation method for wave impact problems}, Journal of Computational Physics, Vol. 1, pp.363-393, 2005. + +\bibitem{dominoHorne2022} Domino, S. P., Horne, W., \emph{Development and deployment of a credible unstructured, six-DOF, implicit low-Mach overset high-fidelity simulation tool for wave energy applications}, Renewable Energy, under review, 2022. + +\end{thebibliography} + +\end{document} diff --git a/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/Makefile b/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/Makefile new file mode 100755 index 00000000..ad612142 --- /dev/null +++ b/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/Makefile @@ -0,0 +1,8 @@ + +all: + pdflatex 3d_hex8_dam_break_laboratory + pdflatex 3d_hex8_dam_break_laboratory + pdflatex 3d_hex8_dam_break_laboratory + +clean: + -rm -f *.aux *.log *.dvi *.bbl *.blg *~ diff --git a/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/3d_hex8_dam_break_geom.png b/reg_tests/test_files/laboratory/3d_hex8_dam_break/write_up/images/3d_hex8_dam_break_geom.png new file mode 100644 index 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b/reg_tests/test_files/laboratory/3d_hex8_open_jet/write_up/3d_hex8_open_jet_laboratory.tex index f6e5e64a..6276e33b 100644 --- a/reg_tests/test_files/laboratory/3d_hex8_open_jet/write_up/3d_hex8_open_jet_laboratory.tex +++ b/reg_tests/test_files/laboratory/3d_hex8_open_jet/write_up/3d_hex8_open_jet_laboratory.tex @@ -19,7 +19,7 @@ \section{Introduction} scale mixture fraction is activated; inflow velocity is a constant value absent of any profile. -\section{Theory} +\section{Domain} The three-dimensional geometry for this tutorial is captured in Figure~\ref{fig:geom}. Here, the cylindrical domain is defined by the vertical height, $H$, the outer diameter, $D_o$, and inlet pipe diameter $d_o$ and @@ -38,6 +38,7 @@ \section{Theory} \label{fig:geom} \end{figure} +\section{Theory} The variable-density low-Mach equation set is defined by the continuity and momentum equation, \begin{align} @@ -74,7 +75,7 @@ \section{Theory} +\frac{\partial q_j }{\partial x_j} = 0, \label{eq:zEq} \end{align} -where the diffusive flux vector is given by $q_j = \frac{\mu}{Sc}\frac{\partial Z}{\partial x_j}$. +where the diffusive flux vector is given by $q_j = -\frac{\mu}{Sc}\frac{\partial Z}{\partial x_j}$. Here, the Schmidt number is given as a function of density and mass diffusivity $D$, as $Sc = \frac{\mu}{\rho D}$. @@ -103,13 +104,13 @@ \subsection{Simulation Specification and Results} are provided for the specifications provided above. \begin{figure}[!htbp] - \subfloat[] \centering + \subfloat[] { \includegraphics[height=3.0in]{images/3d_hex8_open_jet_mix_frac.png} } - \subfloat[] \centering + \subfloat[] { \includegraphics[height=3.0in]{images/3d_hex8_open_jet_umag.png} } @@ -152,7 +153,7 @@ \section{Discussion Points} \begin{itemize} \item Ensure that the underlying model suite is well understood. - \item Explore the mesh and input file associated with this case. + \item Explore the mesh and input file specifications associated with this case. \item Explore the removal of the bottom wall plane in favor of an open boudnary condition with and without total pressure specification. \item Comment on the resulting core collapse distance and the self-similar behavior. diff --git a/reg_tests/test_files/laboratory/3d_tet4_pipe/write_up/3d_tet4_pipe_laboratory.pdf b/reg_tests/test_files/laboratory/3d_tet4_pipe/write_up/3d_tet4_pipe_laboratory.pdf index 14b60c72cbdfe1bed0e3f658e3340746d7cd855b..989abc82ea0bd30b0d8be47a735830a4edc9d55b 100644 GIT binary patch delta 26069 zcmV(?K-a&$_8gh{9FQXeF*GrkG1CPpe^$+o+c*rq=P7)Yfw9K=v+O+<-9fw91$Kel z+8#W%CK2G+sqIXfK7C11o=JAxqVPc^MNt&_k@UOm=KewDiLhJ>qm%6ukU2L-B!w_s zRWjMO$tU)Aeeiuf-ldt!CEM;t=d#uxTtE4tuR9X|>yK$B3+9M@=!O)ybNXfbf7ktk z)``$u=|bWqnJTy~Rgzf&7guzNNHZa%VITWc2{w-d*b%HfH8Wg7R-{NOUKO%HBYBcZ z!Ap>ZGVGWN26m)n&%SkWyQT&BX7tBkJP4kKk%;;2`%v6b5QsU3 z$Ck_y`#BdT+;b-W?B_kYj7|!{e=B3i$!6%Mx$aXqIm7c57#at(WSJXh@1{GF)_seF zLT7PVJLjh9G&)$F+DGA26UjzL9%p@H=_6vV|F3>#ZU)s11VU)n}OWl#R%!E2uV?JX)17r zN@OL72=Zkg604P=#NrhMAj{&7t*;?~Zd|#jg1qHsvC~Ek1=cI8O4Kl1lm=qLbrnN0 ztazijRwB7liY|>V3sJ=+e}Qt0Z9zIyggF%9Ge*jFm$XzYU<~n90nBcaK}Zo5>)g{! z6yO%>nCQ{(_6v%EJ$7}Ebs5ygcycL-p4i9W!Eox^Isi*%GEMXGXDLT*~1U$lJ!9xoKz_Ea^(L+HSoIw=;e{4<7BnazB)ZK)Q ztSaI=;-SM3xYl(6`XC7{BPhm@k3Q;zcYwwbVHx7JQUr8dn>_S4SY9$09uVLT(iluK zd?6W>YvbTmwu-Mp;c!AU2J*Vs0ei;$)g6|Yq3XW6wI8ynL;bg!k0Gc_9@m>AWi_B{ z^XGOWKn11~3?6UC4cBEUbkMjW!`5;x3hqB1MDl*v{0HB%l`S^2 zE2Hml9^Mp

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basic c++ +#include +#include +#include + +namespace sierra{ +namespace nalu{ + +RecMixFracAuxFunction::RecMixFracAuxFunction() : + AuxFunction(0,1) +{ + // nothing +} + +void +RecMixFracAuxFunction::do_evaluate( + const double *coords, + const double /*time*/, + const unsigned spatialDimension, + const unsigned numPoints, + double * fieldPtr, + const unsigned fieldSize, + const unsigned /*beginPos*/, + const unsigned /*endPos*/) const +{ + for(unsigned p=0; p < numPoints; ++p) { + + const double x = coords[0]; + const double y = coords[1]; + const double z = coords[2]; + + if ( x < 1.228 && z < 0.55 ) + fieldPtr[0] = 1.0; + else + fieldPtr[0] = 0.0; + + fieldPtr += fieldSize; + coords += spatialDimension; + } +} + +} // namespace nalu +} // namespace Sierra

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