From 52710bf3ff4efb12b3a0bf5790de953de7c8fe55 Mon Sep 17 00:00:00 2001 From: Jordan Musser Date: Wed, 24 Jun 2026 15:44:48 -0400 Subject: [PATCH 1/5] Tutorial: Flow past cylinder --- docs/source_docs/index.rst | 9 + .../steady-flow-around-cylinder.rst | 169 ++++++++++++++++++ docs/source_docs/tutorials/index.rst | 10 ++ 3 files changed, 188 insertions(+) create mode 100644 docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst create mode 100644 docs/source_docs/tutorials/index.rst diff --git a/docs/source_docs/index.rst b/docs/source_docs/index.rst index 2425d5a..2660b32 100644 --- a/docs/source_docs/index.rst +++ b/docs/source_docs/index.rst @@ -46,6 +46,15 @@ To get started with MFIX-Exa, follow the user guide sections: Quick start guide Run-time inputs +Tutorials provide complete example cases and explain the major setup choices: + +.. toctree:: + :maxdepth: 1 + :caption: Tutorials: + + tutorials/index + + To learn more about the implementation, follow the following reference sections: diff --git a/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst b/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst new file mode 100644 index 0000000..c2b1edf --- /dev/null +++ b/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst @@ -0,0 +1,169 @@ +.. _TutorialFlowAroundCylinder: + +Steady Flow Around a Cylinder +============================= + +This tutorial sets up fluid flow around a fixed circular cylinder based +on the work of Schäfer et al. (1996). This is a steady, low-Reynolds-number +cylinder-flow example that uses MFIX-Exa's embedded-boundary geometry. + +Features +-------- + +* Incompressible fluid with no particles. +* Steady-state advance +* Quasi-2D domain using a thin, periodic spanwise direction. +* Cylinder represented by a predefined embedded boundary. +* Velocity inlet, pressure outlet, and periodic lateral boundaries. +* Plotfile output for velocity, pressure, vorticity, and EB volume fraction. +* Report output for the EB drag force. + +Case description +---------------- + +The flow enters from the low-:math:`x=0.` boundary and exits at the +high-:math:`x=2.46` boundary. The low-:math:`y=-0.20` and high-:math:`y=0.21` +boundaries are no-slip walls. The cylinder has a radius of :math:`0.05` m and +is located at :math:`x=0.2`, :math:`y=0.` so that it is slightly off-centered +with respect to channel height. To mimic the original setup, the channel is +is thin and periodic in :math:`z`. + +The tutorial uses + +.. math:: + + \rho = 1,\qquad \mu = 0.001,\qquad D = 0.1, + +with the inlet velocity defined by + +.. math:: + + u(x=0,y) = \frac{1.2(y+0.2)(0.21-y)}{0.41^2} . + + +Defining the mean velocity as :math:`\overline{u} = 2u(x=0,y=0.41/2-0.2)/3 = 0.2`, + +.. math:: + + Re = \frac{\rho \overline{u} D}{\mu} = 20. + +At this Reynolds number the wake should approach a steady, slightly-asymmetric state. + + +Important input sections +------------------------ + +The mesh is a long box with a periodic :math:`z` direction: + +.. code-block:: text + + geometry.is_periodic = 0 0 1 + geometry.prob_lo = 0.00 -0.20 -0.1025 + geometry.prob_hi = 2.46 0.21 0.1025 + + +The cylinder is a predefined embedded boundary. The +``cylinder.internal_flow = false`` setting means the flow is outside the +cylinder, not inside a pipe and the ``cylinder.height = -1.0`` means that +the cylinder is infinitely long: + +.. code-block:: text + + mfix.geometry = "cylinder" + + cylinder.internal_flow = false + cylinder.radius = 0.05 + cylinder.height = -1.0 + cylinder.direction = 2 + cylinder.center = 0.2 0.0 0.0 + +The fluid properties set the Reynolds number to one: + +.. code-block:: text + + ic.full-domain.fluid.density = 1.0 + fluid.viscosity.molecular.constant = 0.001 + +The low-:math:`x` face is a mass inflow and the high-:math:`x` face is a +pressure outlet: + +.. code-block:: text + + bc.regions = inflow outflow + + bc.inflow = mi + bc.inflow.fluid.density = 1.0 + bc.inflow.fluid.inflow_type = velocity + bc.inflow.fluid.velocity = "1.2*(y+0.2)*(0.21-y)/0.1618" + + bc.outflow = po + bc.outflow.fluid.pressure = 0.0 + +.. note:: + + The complete input file is located in the MFIX-Exa soruce direcotry as + ``tutorials/incompressible-fluid/inputs.steady-around-cylinder`` + +Running the Case +---------------- + +From the repository root, run the case with the MFIX-Exa executable: + +.. code-block:: console + + ./mfix tutorials/flow-around-cylinder/inputs + +For MPI runs, use the launcher appropriate for your system: + +.. code-block:: console + + mpiexec -n 4 ./mfix tutorials/flow-around-cylinder/inputs + +The run writes AMReX plotfiles named ``plt*``. Because +``mfix.write_eb_surface = true`` is enabled, it also writes the embedded +boundary surface for visualization. + +Post-Processing +--------------- + +Open the plotfiles in ParaView, VisIt, or another AMReX-compatible +post-processing tool. Useful fields for this case are: + +* ``vel_g`` for the velocity field. +* ``p_g`` for pressure. +* ``vort`` for wake vorticity. +* ``volfrac`` for the embedded-boundary volume fraction. + +The input deck also writes two CSV monitor files: + +* ``wake_point.csv`` samples ``vel_g``, ``p_g``, and ``vort`` at + :math:`(x,y,z) = (2,0,0)`. +* ``wake_average.csv`` records an area average of ``vel_g`` and ``p_g`` on + the plane :math:`x=2`. + +Drag and Lift +------------- + +The Lethe example reports drag and lift coefficients from boundary force +integration. This tutorial does not currently include an MFIX-Exa force +integration report. If a post-processing tool or script computes the force on +the cylinder, the nondimensional coefficients are + +.. math:: + + C_D = \frac{2F_x}{\rho U_\infty^2 D L_z},\qquad + C_L = \frac{2F_y}{\rho U_\infty^2 D L_z}, + +where :math:`L_z` is the spanwise domain length. For this input +:math:`L_z = 1.0`. + +Extensions +---------- + +* Increase ``geometry.prob_hi`` and ``geometry.prob_lo`` in the lateral + direction to reduce periodic-image effects. +* Refine ``amr.n_cell`` near the cylinder by running a uniformly finer mesh. +* Increase the Reynolds number by increasing the inlet velocity or decreasing + the molecular viscosity. +* Run at higher Reynolds number for longer times to observe unsteady vortex + shedding. diff --git a/docs/source_docs/tutorials/index.rst b/docs/source_docs/tutorials/index.rst new file mode 100644 index 0000000..50a096d --- /dev/null +++ b/docs/source_docs/tutorials/index.rst @@ -0,0 +1,10 @@ +Incompressible Fluid +==================== + +These tutorials describe complete MFIX-Exa cases and the main input choices +used to build them. + +.. toctree:: + :maxdepth: 1 + + incompressible-fluid/steady-flow-around-cylinder -- GitLab From dd88f94da4d76bd0028b980e6f7c66f894c26770 Mon Sep 17 00:00:00 2001 From: Jordan Musser Date: Sun, 28 Jun 2026 09:22:35 -0400 Subject: [PATCH 2/5] Update page link name --- .../steady-flow-around-cylinder.rst | 90 ++++++++----------- 1 file changed, 39 insertions(+), 51 deletions(-) diff --git a/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst b/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst index c2b1edf..c24095c 100644 --- a/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst +++ b/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst @@ -1,4 +1,4 @@ -.. _TutorialFlowAroundCylinder: +.. _TutorialSteadyFlowAroundCylinder: Steady Flow Around a Cylinder ============================= @@ -61,6 +61,7 @@ The mesh is a long box with a periodic :math:`z` direction: geometry.prob_lo = 0.00 -0.20 -0.1025 geometry.prob_hi = 2.46 0.21 0.1025 + amr.n_cell = 192 32 16 The cylinder is a predefined embedded boundary. The ``cylinder.internal_flow = false`` setting means the flow is outside the @@ -77,13 +78,6 @@ the cylinder is infinitely long: cylinder.direction = 2 cylinder.center = 0.2 0.0 0.0 -The fluid properties set the Reynolds number to one: - -.. code-block:: text - - ic.full-domain.fluid.density = 1.0 - fluid.viscosity.molecular.constant = 0.001 - The low-:math:`x` face is a mass inflow and the high-:math:`x` face is a pressure outlet: @@ -99,71 +93,65 @@ pressure outlet: bc.outflow = po bc.outflow.fluid.pressure = 0.0 -.. note:: - - The complete input file is located in the MFIX-Exa soruce direcotry as - ``tutorials/incompressible-fluid/inputs.steady-around-cylinder`` -Running the Case ----------------- +The case is run with the pseudo steady-state time advance with a tolerance +of :math:`1.0e-6` and 75K maximum iterations. The maximum time step size is +set to ensure :math:`\Delta t \tilde (\Delta x)^2`. -From the repository root, run the case with the MFIX-Exa executable: +.. code-block:: text -.. code-block:: console + mfix.steady_state = 1 - ./mfix tutorials/flow-around-cylinder/inputs + mfix.steady_state_tol = 1.0e-6 + mfix.steady_state_maxiter = 75000 -For MPI runs, use the launcher appropriate for your system: + mfix.dt_max = 1.64e-4 -.. code-block:: console +.. note:: - mpiexec -n 4 ./mfix tutorials/flow-around-cylinder/inputs + The complete input file is located in the MFIX-Exa source directory as + ``tutorials/incompressible-fluid/inputs.steady-around-cylinder`` -The run writes AMReX plotfiles named ``plt*``. Because -``mfix.write_eb_surface = true`` is enabled, it also writes the embedded -boundary surface for visualization. Post-Processing --------------- -Open the plotfiles in ParaView, VisIt, or another AMReX-compatible -post-processing tool. Useful fields for this case are: +The run writes an AMReX plotfile named ``plt*`` every 5000 iterations, +saving the fluid: + +* velocity field, ``vel_g``, +* pressure, ``p_g``, and +* embedded-boundary volume fraction, ``volfrac``. + +The plotfile data can be viewed in ParaView, VisIt, or any other AMReX-compatible +post-processing tool. + +The setup also enables the **Embedded Boundary (EB) drag report** for the +EB surface captured by the ``full_cyl`` region. + +.. code-block:: text -* ``vel_g`` for the velocity field. -* ``p_g`` for pressure. -* ``vort`` for wake vorticity. -* ``volfrac`` for the embedded-boundary volume fraction. + regions = ... full_cyl -The input deck also writes two CSV monitor files: + regions.full_cyl.shape = box + regions.full_cyl.box.lo = 0.10 -0.15 -1.0 + regions.full_cyl.box.hi = 0.30 0.15 1.0 -* ``wake_point.csv`` samples ``vel_g``, ``p_g``, and ``vort`` at - :math:`(x,y,z) = (2,0,0)`. -* ``wake_average.csv`` records an area average of ``vel_g`` and ``p_g`` on - the plane :math:`x=2`. + mfix.reports.eb_drag.regions = full_cyl -Drag and Lift -------------- + mfix.reports.eb_drag.full_cyl.int = 500 -The Lethe example reports drag and lift coefficients from boundary force -integration. This tutorial does not currently include an MFIX-Exa force -integration report. If a post-processing tool or script computes the force on -the cylinder, the nondimensional coefficients are +This report calculates the total aerodynamic force by integrating the fluid's +pressure and shear stress over the captured surface: .. math:: - C_D = \frac{2F_x}{\rho U_\infty^2 D L_z},\qquad - C_L = \frac{2F_y}{\rho U_\infty^2 D L_z}, + \vec{F}_D = \oint \left[-p\vec{n} + \vec{\tau} \cdot \vec{n} \right] dA -where :math:`L_z` is the spanwise domain length. For this input -:math:`L_z = 1.0`. Extensions ---------- -* Increase ``geometry.prob_hi`` and ``geometry.prob_lo`` in the lateral - direction to reduce periodic-image effects. -* Refine ``amr.n_cell`` near the cylinder by running a uniformly finer mesh. -* Increase the Reynolds number by increasing the inlet velocity or decreasing - the molecular viscosity. -* Run at higher Reynolds number for longer times to observe unsteady vortex - shedding. +* Refine ``amr.n_cell`` to run a uniformly finer mesh. +* Enable mesh refinement by increasing ``amr.max_level`` to refine the mesh near the embedded boundary +* Run at higher Reynolds number for longer times to observe unsteady vortex shedding. -- GitLab From 4f77bafed1794fbb615e9559dbea3b85b88cb0c9 Mon Sep 17 00:00:00 2001 From: Jordan Musser Date: Tue, 30 Jun 2026 15:25:55 -0400 Subject: [PATCH 3/5] Update to match case file --- .../steady-flow-around-cylinder.rst | 50 ++++++++++--------- 1 file changed, 27 insertions(+), 23 deletions(-) diff --git a/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst b/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst index c24095c..856625b 100644 --- a/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst +++ b/docs/source_docs/tutorials/incompressible-fluid/steady-flow-around-cylinder.rst @@ -14,8 +14,8 @@ Features * Steady-state advance * Quasi-2D domain using a thin, periodic spanwise direction. * Cylinder represented by a predefined embedded boundary. -* Velocity inlet, pressure outlet, and periodic lateral boundaries. -* Plotfile output for velocity, pressure, vorticity, and EB volume fraction. +* Velocity inlet, pressure outlet, no-slip walls, and a periodic spanwise direction. +* Plotfile output for velocity, pressure, and EB volume fraction. * Report output for the EB drag force. Case description @@ -26,7 +26,7 @@ high-:math:`x=2.46` boundary. The low-:math:`y=-0.20` and high-:math:`y=0.21` boundaries are no-slip walls. The cylinder has a radius of :math:`0.05` m and is located at :math:`x=0.2`, :math:`y=0.` so that it is slightly off-centered with respect to channel height. To mimic the original setup, the channel is -is thin and periodic in :math:`z`. +thin and periodic in :math:`z`. The tutorial uses @@ -58,10 +58,10 @@ The mesh is a long box with a periodic :math:`z` direction: .. code-block:: text geometry.is_periodic = 0 0 1 - geometry.prob_lo = 0.00 -0.20 -0.1025 - geometry.prob_hi = 2.46 0.21 0.1025 + geometry.prob_lo = 0.00 -0.20 -0.205 + geometry.prob_hi = 2.46 0.21 0.205 - amr.n_cell = 192 32 16 + amr.n_cell = 192 32 32 The cylinder is a predefined embedded boundary. The ``cylinder.internal_flow = false`` setting means the flow is outside the @@ -78,32 +78,35 @@ the cylinder is infinitely long: cylinder.direction = 2 cylinder.center = 0.2 0.0 0.0 -The low-:math:`x` face is a mass inflow and the high-:math:`x` face is a -pressure outlet: +The low- and high-:math:`y` faces are no-slip walls. The low-:math:`x` face +is a mass inflow and the high-:math:`x` face is a pressure outlet: .. code-block:: text - bc.regions = inflow outflow + bc.regions = bottom_wall top_wall inflow outflow + + bc.bottom_wall = no-slip + bc.top_wall = no-slip bc.inflow = mi bc.inflow.fluid.density = 1.0 bc.inflow.fluid.inflow_type = velocity - bc.inflow.fluid.velocity = "1.2*(y+0.2)*(0.21-y)/0.1618" + bc.inflow.fluid.velocity = "1.2*(y+0.2)*(0.21-y)/0.1681" bc.outflow = po - bc.outflow.fluid.pressure = 0.0 + bc.outflow.pressure = 101325.0 The case is run with the pseudo steady-state time advance with a tolerance -of :math:`1.0e-6` and 75K maximum iterations. The maximum time step size is -set to ensure :math:`\Delta t \tilde (\Delta x)^2`. +of :math:`1.0e-6` and 50,000 maximum iterations. The maximum time step size +is set to ensure :math:`\Delta t \sim (\Delta x)^2`. .. code-block:: text mfix.steady_state = 1 mfix.steady_state_tol = 1.0e-6 - mfix.steady_state_maxiter = 75000 + mfix.steady_state_maxiter = 50000 mfix.dt_max = 1.64e-4 @@ -116,8 +119,8 @@ set to ensure :math:`\Delta t \tilde (\Delta x)^2`. Post-Processing --------------- -The run writes an AMReX plotfile named ``plt*`` every 5000 iterations, -saving the fluid: +The run writes an AMReX plotfile named ``plt*`` every 5000 iterations into +the ``io`` directory, saving the fluid: * velocity field, ``vel_g``, * pressure, ``p_g``, and @@ -127,19 +130,20 @@ The plotfile data can be viewed in ParaView, VisIt, or any other AMReX-compatibl post-processing tool. The setup also enables the **Embedded Boundary (EB) drag report** for the -EB surface captured by the ``full_cyl`` region. +EB surface captured by the ``eb_cyl`` region. .. code-block:: text - regions = ... full_cyl + regions = ... eb_cyl - regions.full_cyl.shape = box - regions.full_cyl.box.lo = 0.10 -0.15 -1.0 - regions.full_cyl.box.hi = 0.30 0.15 1.0 + regions.eb_cyl.shape = cylinder + regions.eb_cyl.cylinder.radius = 0.075 + regions.eb_cyl.cylinder.start = 0.2 0.0 -0.205 + regions.eb_cyl.cylinder.end = 0.2 0.0 0.205 - mfix.reports.eb_drag.regions = full_cyl + mfix.reports.eb_drag.regions = eb_cyl - mfix.reports.eb_drag.full_cyl.int = 500 + mfix.reports.eb_drag.eb_cyl.int = 500 This report calculates the total aerodynamic force by integrating the fluid's pressure and shear stress over the captured surface: -- GitLab From f32d932be134cb54e5431593eba538c64d740184 Mon Sep 17 00:00:00 2001 From: Jordan Musser Date: Tue, 30 Jun 2026 15:36:48 -0400 Subject: [PATCH 4/5] Add oint to codespell ignore list --- .gitlab-ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index 03ab118..a9b2533 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -31,7 +31,7 @@ docs:codespell: image: sphinxdoc/sphinx:latest script: - pip install codespell - - codespell --ignore-words-list strack,HEP --enable-colors --quiet-level 2 docs/source_docs/ docs/picvva/ + - codespell --ignore-words-list oint,strack,HEP --enable-colors --quiet-level 2 docs/source_docs/ docs/picvva/ stage: build-docs tags: - docker -- GitLab From ea3018b93881ff3f4b88f95ee749c659a85ea58f Mon Sep 17 00:00:00 2001 From: Jordan Musser Date: Wed, 1 Jul 2026 09:40:01 -0400 Subject: [PATCH 5/5] Add some post processing details --- ...steady-flow-around-cylinder-drag-coeff.png | Bin 0 -> 20478 bytes ...steady-flow-around-cylinder-lift-coeff.png | Bin 0 -> 27937 bytes .../images/steady-flow-around-cylinder.png | Bin 0 -> 106953 bytes .../steady-flow-around-cylinder.rst | 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