From 71c1dc60db25efc1c3c29af8db60f32666ff3672 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 6 Feb 2026 09:25:03 +0100 Subject: [PATCH 01/15] Bidirectional exchange --- .../constant/transportProperties | 5 +- .../fluid-openfoam/system/controlDict | 2 +- .../fluid-openfoam/system/fvSchemes | 2 +- .../fluid-openfoam/system/preciceDict | 14 +++- .../precice-config.xml | 65 +++++++++++++++---- 5 files changed, 72 insertions(+), 16 deletions(-) diff --git a/channel-transport-particles/fluid-openfoam/constant/transportProperties b/channel-transport-particles/fluid-openfoam/constant/transportProperties index 5383adaad..5460c5509 100644 --- a/channel-transport-particles/fluid-openfoam/constant/transportProperties +++ b/channel-transport-particles/fluid-openfoam/constant/transportProperties @@ -8,4 +8,7 @@ FoamFile transportModel Newtonian; -nu nu [ 0 2 -1 0 0 0 0 ] 1; +nu [0 2 -1 0 0 0 0] 1.5e-05; // = air at 20°C m^2/s +rho 1.2; // kg/m^3 +g (0 -9.81 0); + diff --git a/channel-transport-particles/fluid-openfoam/system/controlDict b/channel-transport-particles/fluid-openfoam/system/controlDict index 55c798b99..88734cfbf 100644 --- a/channel-transport-particles/fluid-openfoam/system/controlDict +++ b/channel-transport-particles/fluid-openfoam/system/controlDict @@ -6,7 +6,7 @@ FoamFile object controlDict; } -application pimpleFoam; +application AndersonJacksonFoam; startFrom startTime; diff --git a/channel-transport-particles/fluid-openfoam/system/fvSchemes b/channel-transport-particles/fluid-openfoam/system/fvSchemes index 80c096192..fc2e29bcd 100644 --- a/channel-transport-particles/fluid-openfoam/system/fvSchemes +++ b/channel-transport-particles/fluid-openfoam/system/fvSchemes @@ -18,7 +18,7 @@ gradSchemes divSchemes { - default none; + default Gauss linear; div(phi,U) bounded Gauss upwind; div((nuEff*dev2(T(grad(U))))) Gauss linear; } diff --git a/channel-transport-particles/fluid-openfoam/system/preciceDict b/channel-transport-particles/fluid-openfoam/system/preciceDict index 7368a7a56..506e26435 100644 --- a/channel-transport-particles/fluid-openfoam/system/preciceDict +++ b/channel-transport-particles/fluid-openfoam/system/preciceDict @@ -12,6 +12,14 @@ participant Fluid; modules (FF); +FF +{ + nameAlpha alphaSolid; + nameExplicitMomentum ExplicitMomentum; + nameImplicitMomentum ImplicitMomentum; +}; + + interfaces { Interface1 @@ -22,11 +30,15 @@ interfaces readData ( + ImplicitMomentum + ExplicitMomentum + Alpha ); writeData ( Velocity + PressureGradientFull ); }; -}; \ No newline at end of file +}; diff --git a/channel-transport-particles/precice-config.xml b/channel-transport-particles/precice-config.xml index 01af32b7a..fc9d0a59f 100644 --- a/channel-transport-particles/precice-config.xml +++ b/channel-transport-particles/precice-config.xml @@ -1,43 +1,84 @@ - + + filter="(%Severity% > debug) and not ((%Rank% != 0))" /> - + - + + + + + - + + + + + + + + + - + + + + + - + + - + + - - - + + + + + + From 541bf329a913f0c2c18bb980567937be9890e945 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 6 Feb 2026 09:35:12 +0100 Subject: [PATCH 02/15] Add convenience script to setup mercury --- .../particles-mercurydpm/setup-mercurydpm.sh | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/channel-transport-particles/particles-mercurydpm/setup-mercurydpm.sh b/channel-transport-particles/particles-mercurydpm/setup-mercurydpm.sh index 1a5863861..4d04d4a25 100644 --- a/channel-transport-particles/particles-mercurydpm/setup-mercurydpm.sh +++ b/channel-transport-particles/particles-mercurydpm/setup-mercurydpm.sh @@ -4,7 +4,7 @@ set -euo pipefail # ---- Config (you can override via env vars) ---- REPO_HTTPS_DEFAULT="https://bitbucket.org/davidscn/mercurydpm.git" REPO_URL="${REPO_URL:-$REPO_HTTPS_DEFAULT}" # or git@bitbucket.org:davidscn/mercurydpm.git -BRANCH="${BRANCH:-channel-transport-tutorial}" +BRANCH="${BRANCH:-channel-bidirectional}" SRC_DIR="${SRC_DIR:-$PWD/mercurydpm}" BUILD_DIR="${BUILD_DIR:-$SRC_DIR/build}" From 13e11242a7fd0a04ecd5b7cff2d0e4581a251f1c Mon Sep 17 00:00:00 2001 From: David Schneider Date: Mon, 9 Feb 2026 15:31:54 +0100 Subject: [PATCH 03/15] Add comments on Nutils --- .../fluid-nutils/README.md | 26 ++++++++++++++++ .../fluid-nutils/fluid.py | 29 ++++++++++++++---- ...ls-channel-transport-particles-t-final.png | Bin 0 -> 223577 bytes .../precice-config.xml | 2 +- 4 files changed, 50 insertions(+), 7 deletions(-) create mode 100644 channel-transport-particles/fluid-nutils/README.md create mode 100644 channel-transport-particles/images/tutorials-channel-transport-particles-t-final.png diff --git a/channel-transport-particles/fluid-nutils/README.md b/channel-transport-particles/fluid-nutils/README.md new file mode 100644 index 000000000..d97cbd5fe --- /dev/null +++ b/channel-transport-particles/fluid-nutils/README.md @@ -0,0 +1,26 @@ +# Hints and TODOs + +## General hints + +- we already have a unidirectional mesh-particle tracing [tutorial](https://precice.org/tutorials-channel-transport-particles.html). This scenario is also available in the [tutorials repository](https://github.com/precice/tutorials/tree/develop/channel-transport-particles) and couples Nutils with MercuryDPM +- the unidirectional tutorial only couples via the fluid velocity and should run out-of-the-box, use `setup-mercurydpm.sh` to run and compile the MercuryDPM participant +- the tutorial uses OpenFOAM or Nutils, and MercuryDPM +- all Nutils simulations use Nutils version 7 +- the bidirectional scenario builds upon this tutorial case + +## Before starting + +- make sure you have the latest develop of preCICE + +## The bidirectional coupling + +- the bidirectional coupling is pull request [706](https://github.com/precice/tutorials/pull/706) +- from the [tutorials](https://github.com/precice/tutorials/tree/develop/channel-bidirectional), checkout the branch `channel-bidirectional` and navigate to `~/tutorials/channel-transport-particles/` +- run the `setup-mercurydpm.sh` script again (it checks out another branch for the solver) +- the overall setup is no too much physics-motivated, using the same boundary conditions leads to the following + +![snapshot-final](../images/tutorials-channel-transport-particles-t-final.png) + +- after you completed the case, I would validate it with a more complex scenario +- while the simulation here is 2D, the final validation case will be 3D +- I put all further comments directly into the `fluid.py` code diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index aa91605df..5a11dd7ee 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -13,9 +13,9 @@ def main(): + # COMMENT: nothing to change here print("Running Nutils") - # define the Nutils mesh nx = 48 ny = 16 step_start = nx // 3 @@ -28,13 +28,19 @@ def main(): step_start:step_end, :step_hight ].withboundary(wall="left,top,right") - # cloud of Gauss points gauss = domain.sample("gauss", degree=4) - # Nutils namespace ns = function.Namespace() ns.x = geom + # COMMENT: looks like the weak is being defined here: the weak form now needs to incorporate the volume fraction + # Note that preCICE/MercuryDPM provides a field called "Alpha", which is the solid volume fraction. The formula + # 7.1 and 7.2 from the PDF use the fluid volume frection (epsilon_f), which is epsilon_f = (1 - Alpha). + # Note that reading from preCICE makes only sense after the initialize call. + # Moreover, we need to incorporate gravity (ε_f*ρ_f*g) in 7.2 and the drag force. The drag force is here zero either + # Note that the drag force is called "ExplicitMomentum" in preCICE. I + # would maybe later still try to implement the explicit-implicit split, + # that's the only reason ns.ubasis = domain.basis("std", degree=2).vector(2) ns.pbasis = domain.basis("std", degree=1) ns.u_i = "ubasis_ni ?u_n" # solution @@ -48,7 +54,7 @@ def main(): ures = gauss.integral("ubasis_ni,j σ_ij d:x" @ ns) pres = gauss.integral("pbasis_n u_k,k d:x" @ ns) - # define Dirichlet boundary condition + # Dirichlet boundary condition sqr = domain.boundary["inflow"].integral("(u_0 - uin)^2 d:x" @ ns, degree=2) sqr += domain.boundary["inflow,outflow"].integral("u_1^2 d:x" @ ns, degree=2) sqr += domain.boundary["wall"].integral("u_k u_k d:x" @ ns, degree=2) @@ -57,13 +63,16 @@ def main(): # preCICE setup participant = precice.Participant("Fluid", "../precice-config.xml", 0, 1) - # define coupling mesh + # define coupling mesh (nothing to change) mesh_name = "Fluid-Mesh" vertices = gauss.eval(ns.x) vertex_ids = participant.set_mesh_vertices(mesh_name, vertices) - # coupling data + # COMMENT: names of the new coupling data fields in the preCICE configuration. The velocity was already there before + solid_fraction_name = "Alpha" + drag_force_name = "ExplicitMomentum" data_name = "Velocity" + pressure_gradient_name = "PressureGradientFull" participant.initialize() @@ -90,13 +99,21 @@ def main(): # potentially adjust non-matching timestep sizes dt = min(solver_dt, precice_dt) + # COMMENT: here we would need to read the solid volume fraction and the drag force from preCICE and incorporate them into the weak form. The pressure gradient would also need to be written to preCICE, but let's start with the velocity first + # Note that the read_data call takes a dt argument, which is the relative read time. For Euler backwards, it would simply be dt + # solid_fraction_values = participant.read_data(mesh_name, solid_fraction_name, vertex_ids, ...) + # drag_force_name = participant.read_data(mesh_name, drag_force_name, vertex_ids, ...) + # Checkpointing for implicit coupling is generally not required + # solve Nutils timestep state["u0"] = state["u"] state["dt"] = dt state = solver.newton(("u", "p"), (ures, pres), constrain=cons, arguments=state).solve(1e-10) velocity_values = gauss.eval(ns.u, **state) + # COMMENT: here we would also need to write the pressure gradient to preCICE participant.write_data(mesh_name, data_name, vertex_ids, velocity_values) + # participant.write_data(mesh_name, pressure_gradient_name, vertex_ids, pressure_gradient_values) # do the coupling participant.advance(dt) diff --git a/channel-transport-particles/images/tutorials-channel-transport-particles-t-final.png b/channel-transport-particles/images/tutorials-channel-transport-particles-t-final.png new file mode 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404e5e1b0e22a57eb72bdc86f54ef3c75bc410f6 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Mon, 9 Feb 2026 15:35:05 +0100 Subject: [PATCH 04/15] Add note on pressure grad --- channel-transport-particles/fluid-nutils/fluid.py | 3 +++ 1 file changed, 3 insertions(+) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 5a11dd7ee..0a27da702 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -112,7 +112,10 @@ def main(): velocity_values = gauss.eval(ns.u, **state) # COMMENT: here we would also need to write the pressure gradient to preCICE + # Important note: OpenFOAM scales the pressue (and thereby also its gradient) by the fluid density, so we would + # need to do the same scaling here. I set the fluid density to 1.2 participant.write_data(mesh_name, data_name, vertex_ids, velocity_values) + # rho_f = 1.2 # participant.write_data(mesh_name, pressure_gradient_name, vertex_ids, pressure_gradient_values) # do the coupling From bb42037a7758a706673ad1d1068d0550810dd035 Mon Sep 17 00:00:00 2001 From: Gertjan van Zwieten Date: Thu, 12 Feb 2026 15:42:55 +0100 Subject: [PATCH 05/15] work in progress --- .../fluid-nutils/fluid.py | 26 ++++++++++++++----- 1 file changed, 20 insertions(+), 6 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 0a27da702..035274db2 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -43,16 +43,25 @@ def main(): # that's the only reason ns.ubasis = domain.basis("std", degree=2).vector(2) ns.pbasis = domain.basis("std", degree=1) + ns.εbasis = gauss.basis() + ns.Fbasis = gauss.basis().vector(2) ns.u_i = "ubasis_ni ?u_n" # solution + ns.u0_i = "ubasis_ni ?u0_n" # solution ns.p = "pbasis_n ?p_n" # solution - ns.dudt_i = "ubasis_ni (?u_n - ?u0_n) / ?dt" # time derivative + ns.ε = "εbasis_ni ?ε_n" # solid fraction + ns.ε0 = "εbasis_ni ?ε0_n" # solid fraction + ns.F_i = "Fbasis_ni ?F_n" # drag force + ns.g = numpy.array([0, -9.81]) + ns.ρ = 1.0 # density TODO FIX VALUE + ns.DεDt = "(ε - ε0) / ?dt + (ε u_i)_,i" + ns.DρεuDt_i = "ρ (ε u_i - ε0 u0_i) / ?dt + ρ (ε u_i u_j)_,j" ns.μ = 0.5 # viscosity ns.σ_ij = "μ (u_i,j + u_j,i) - p δ_ij" ns.uin = "10 x_1 (2 - x_1)" # inflow profile # define the weak form, Stokes problem - ures = gauss.integral("ubasis_ni,j σ_ij d:x" @ ns) - pres = gauss.integral("pbasis_n u_k,k d:x" @ ns) + ures = gauss.integral("(ubasis_ni (DρεuDt_i - ε ρ g_i + F_i) + ubasis_ni,j ε σ_ij) d:x" @ ns) # TODO correct weak form + pres = gauss.integral("pbasis_n DεDt d:x" @ ns) # Dirichlet boundary condition sqr = domain.boundary["inflow"].integral("(u_0 - uin)^2 d:x" @ ns, degree=2) @@ -81,10 +90,11 @@ def main(): precice_dt = participant.get_max_time_step_size() dt = min(precice_dt, solver_dt) - state = solver.solve_linear(("u", "p"), (ures, pres), constrain=cons) # initial condition + ## TODO: INITIAL CONDITION + #state = solver.solve_linear(("u", "p"), (ures, pres), constrain=cons) # initial condition - # add convective term and time derivative for Navier-Stokes - ures += gauss.integral("ubasis_ni (dudt_i + μ (u_i u_j)_,j) d:x" @ ns) + ## add convective term and time derivative for Navier-Stokes + #ures += gauss.integral("ubasis_ni (dudt_i + μ (u_i u_j)_,j) d:x" @ ns) while participant.is_coupling_ongoing(): @@ -105,8 +115,12 @@ def main(): # drag_force_name = participant.read_data(mesh_name, drag_force_name, vertex_ids, ...) # Checkpointing for implicit coupling is generally not required + state['ε'] = 1 - participant.read_data(mesh_name, solid_fraction_name, vertex_ids, dt) + state['F'] = participant.read_data(mesh_name, drag_force_name, vertex_ids, dt) + # solve Nutils timestep state["u0"] = state["u"] + state["ε0"] = state["ε"] state["dt"] = dt state = solver.newton(("u", "p"), (ures, pres), constrain=cons, arguments=state).solve(1e-10) From 0c615b5ce682d4b335040a857cc317276518334a Mon Sep 17 00:00:00 2001 From: Gertjan van Zwieten Date: Fri, 27 Mar 2026 09:16:24 +0100 Subject: [PATCH 06/15] First draft version of the volume-averaged NS equation in Nutils --- .../fluid-nutils/fluid.py | 67 ++++++++++++------- .../fluid-nutils/requirements.txt | 2 +- 2 files changed, 42 insertions(+), 27 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 035274db2..dbd07f892 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -43,25 +43,31 @@ def main(): # that's the only reason ns.ubasis = domain.basis("std", degree=2).vector(2) ns.pbasis = domain.basis("std", degree=1) - ns.εbasis = gauss.basis() - ns.Fbasis = gauss.basis().vector(2) - ns.u_i = "ubasis_ni ?u_n" # solution - ns.u0_i = "ubasis_ni ?u0_n" # solution - ns.p = "pbasis_n ?p_n" # solution - ns.ε = "εbasis_ni ?ε_n" # solid fraction - ns.ε0 = "εbasis_ni ?ε0_n" # solid fraction + ns.εbasis = ns.pbasis + ns.αbasis = gauss.basis() + ns.Fbasis = ns.αbasis.vector(2) + ns.u_i = "ubasis_ni ?u_n" # velocity + ns.v_i = "ubasis_ni ?v_n" # test velocity + ns.u0_i = "ubasis_ni ?u0_n" # previous velocity + ns.p = "pbasis_n ?p_n" # pressure + ns.q = "pbasis_n ?p_n" # test pressure + ns.α = "αbasis_ni ?α_n" # solid fraction + ns.ε = "εbasis_ni ?ε_n" # void fraction + ns.ε0 = "εbasis_ni ?ε0_n" # previous void fraction ns.F_i = "Fbasis_ni ?F_n" # drag force ns.g = numpy.array([0, -9.81]) ns.ρ = 1.0 # density TODO FIX VALUE + ns.ρf = 1.2 # QUESTION: different from ρ ns.DεDt = "(ε - ε0) / ?dt + (ε u_i)_,i" - ns.DρεuDt_i = "ρ (ε u_i - ε0 u0_i) / ?dt + ρ (ε u_i u_j)_,j" - ns.μ = 0.5 # viscosity + ns.DεuDt_i = "(ε u_i - ε0 u0_i) / ?dt + ε u_i_,j u_j" + ns.μ = 0.5 # dynamic viscosity ns.σ_ij = "μ (u_i,j + u_j,i) - p δ_ij" ns.uin = "10 x_1 (2 - x_1)" # inflow profile # define the weak form, Stokes problem - ures = gauss.integral("(ubasis_ni (DρεuDt_i - ε ρ g_i + F_i) + ubasis_ni,j ε σ_ij) d:x" @ ns) # TODO correct weak form - pres = gauss.integral("pbasis_n DεDt d:x" @ ns) + res = gauss.integral("(DεuDt_i v_i + μ (ε u_i,j)_,j v_i - p (ε v_i)_,i / ρ + F_i v_i / ρ) d:x" @ ns) + res += gauss.integral("(DεuDt_i + ε p_,i / ρ - ε μ u_i,kk + F_i / ρ) τu v_i,j u_j d:x" @ ns) + res += gauss.integral("q DεDt d:x" @ ns) # Dirichlet boundary condition sqr = domain.boundary["inflow"].integral("(u_0 - uin)^2 d:x" @ ns, degree=2) @@ -90,19 +96,26 @@ def main(): precice_dt = participant.get_max_time_step_size() dt = min(precice_dt, solver_dt) - ## TODO: INITIAL CONDITION - #state = solver.solve_linear(("u", "p"), (ures, pres), constrain=cons) # initial condition + # TODO: INITIAL CONDITION + state = { + 'u': np.zeros(len(ns.ubasis)), + 'p': np.zeros(len(ns.pbasis)), # <- for plotting / vtk output + } - ## add convective term and time derivative for Navier-Stokes - #ures += gauss.integral("ubasis_ni (dudt_i + μ (u_i u_j)_,j) d:x" @ ns) + # add convective term and time derivative for Navier-Stokes + # ures += gauss.integral("ubasis_ni (dudt_i + μ (u_i u_j)_,j) d:x" @ ns) + + sqr = gauss.integral('(ε - (1 - α))^2 d:x' @ ns) + sys_project_ε = solver.System(sqr, trial='ε') + + sys_vans = solver.System(res, trial='u,p', test='v,q') + + bezier = domain.sample("bezier", 2) while participant.is_coupling_ongoing(): - if timestep % 1 == 0: # visualize - bezier = domain.sample("bezier", 2) - x, u, p = bezier.eval(["x_i", "u_i", "p"] @ ns, **state) - with log.add(log.DataLog()): - export.vtk("Fluid_" + str(timestep), bezier.tri, x, u=u, p=p) + x, u, p = bezier.eval(["x_i", "u_i", "p"] @ ns, arguments=state) + export.vtk("Fluid_" + str(timestep), bezier.tri, x, u=u, p=p) precice_dt = participant.get_max_time_step_size() @@ -115,22 +128,24 @@ def main(): # drag_force_name = participant.read_data(mesh_name, drag_force_name, vertex_ids, ...) # Checkpointing for implicit coupling is generally not required - state['ε'] = 1 - participant.read_data(mesh_name, solid_fraction_name, vertex_ids, dt) + state['α'] = participant.read_data(mesh_name, solid_fraction_name, vertex_ids, dt) state['F'] = participant.read_data(mesh_name, drag_force_name, vertex_ids, dt) - # solve Nutils timestep + # determine void ratio + state = sys_project_ε.solve(arguments=state) + + # solve timestep state["u0"] = state["u"] state["ε0"] = state["ε"] state["dt"] = dt - state = solver.newton(("u", "p"), (ures, pres), constrain=cons, arguments=state).solve(1e-10) + state = sys_vans.solve(constrain=cons, arguments=state, tol=1e-10) - velocity_values = gauss.eval(ns.u, **state) + velocity_values, pressure_gradient_values = gauss.eval(['u_i', 'ρf p_,i'] @ ns, arguments=state) # COMMENT: here we would also need to write the pressure gradient to preCICE # Important note: OpenFOAM scales the pressue (and thereby also its gradient) by the fluid density, so we would # need to do the same scaling here. I set the fluid density to 1.2 participant.write_data(mesh_name, data_name, vertex_ids, velocity_values) - # rho_f = 1.2 - # participant.write_data(mesh_name, pressure_gradient_name, vertex_ids, pressure_gradient_values) + participant.write_data(mesh_name, pressure_gradient_name, vertex_ids, pressure_gradient_values) # do the coupling participant.advance(dt) diff --git a/channel-transport-particles/fluid-nutils/requirements.txt b/channel-transport-particles/fluid-nutils/requirements.txt index 56c3d4a92..69a5d01e2 100644 --- a/channel-transport-particles/fluid-nutils/requirements.txt +++ b/channel-transport-particles/fluid-nutils/requirements.txt @@ -1,5 +1,5 @@ setuptools # required by nutils -nutils==7 +nutils==9.2 numpy >1, <2 pyprecice~=3.0 setuptools From 052146610d0a896b7083d2945982db2b59d3e48a Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 27 Mar 2026 09:21:45 +0100 Subject: [PATCH 07/15] Fix some issues: - switch for scalar void fractions from vector to scalar basis - fix numpy namespace typo - fix derivate u_i_,j -> u_i,j - try implementing the stabilization parameter \tau u - use test functions for test pressure q --- .../fluid-nutils/fluid.py | 18 ++++++++++++------ 1 file changed, 12 insertions(+), 6 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index dbd07f892..ea110b0dc 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -50,22 +50,28 @@ def main(): ns.v_i = "ubasis_ni ?v_n" # test velocity ns.u0_i = "ubasis_ni ?u0_n" # previous velocity ns.p = "pbasis_n ?p_n" # pressure - ns.q = "pbasis_n ?p_n" # test pressure - ns.α = "αbasis_ni ?α_n" # solid fraction - ns.ε = "εbasis_ni ?ε_n" # void fraction - ns.ε0 = "εbasis_ni ?ε0_n" # previous void fraction + ns.q = "pbasis_n ?q_n" # test pressure + ns.α = "αbasis_n ?α_n" # solid fraction + ns.ε = "εbasis_n ?ε_n" # void fraction + ns.ε0 = "εbasis_n ?ε0_n" # previous void fraction ns.F_i = "Fbasis_ni ?F_n" # drag force - ns.g = numpy.array([0, -9.81]) + ns.g = np.array([0, -9.81]) ns.ρ = 1.0 # density TODO FIX VALUE ns.ρf = 1.2 # QUESTION: different from ρ ns.DεDt = "(ε - ε0) / ?dt + (ε u_i)_,i" - ns.DεuDt_i = "(ε u_i - ε0 u0_i) / ?dt + ε u_i_,j u_j" + ns.DεuDt_i = "(ε u_i - ε0 u0_i) / ?dt + ε u_i,j u_j" ns.μ = 0.5 # dynamic viscosity ns.σ_ij = "μ (u_i,j + u_j,i) - p δ_ij" ns.uin = "10 x_1 (2 - x_1)" # inflow profile # define the weak form, Stokes problem res = gauss.integral("(DεuDt_i v_i + μ (ε u_i,j)_,j v_i - p (ε v_i)_,i / ρ + F_i v_i / ρ) d:x" @ ns) + # Define the stabilization parameter \tau u according to Tezduyar + ns.h = 0.125 # TODO: How do I get the element size here? + ns.hconv = "h" # element size related to convection (I would stick to h) + ns.hdiff = "h" # element size related to diffusion (I would stick to h here) + ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k)^0.5 / hconv)^2 + 9 (4 (μ / ρ) / hdiff^2)^2)^-0.5" + res += gauss.integral("(DεuDt_i + ε p_,i / ρ - ε μ u_i,kk + F_i / ρ) τu v_i,j u_j d:x" @ ns) res += gauss.integral("q DεDt d:x" @ ns) From 4ce7e43bc8454d5ecc9e0cafdccfa12b6b406825 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Mon, 20 Apr 2026 16:17:51 +0200 Subject: [PATCH 08/15] Using safety margin for penalty parameter --- .../fluid-nutils/fluid.py | 16 ++++++++++------ 1 file changed, 10 insertions(+), 6 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index ea110b0dc..c0da1432a 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -14,7 +14,7 @@ def main(): # COMMENT: nothing to change here - print("Running Nutils") + log.info("Running Nutils") nx = 48 ny = 16 @@ -70,7 +70,9 @@ def main(): ns.h = 0.125 # TODO: How do I get the element size here? ns.hconv = "h" # element size related to convection (I would stick to h) ns.hdiff = "h" # element size related to diffusion (I would stick to h here) - ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k)^0.5 / hconv)^2 + 9 (4 (μ / ρ) / hdiff^2)^2)^-0.5" + ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k + 1e-15)^0.5 / hconv)^2 + 9 (4 (μ / ρ) / hdiff^2)^2)^-0.5" + #ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k)^0.5 + 1e-15 / hconv)^2 + 9 (4 (μ / ρ) / hdiff^2)^2)^-0.5" + #ns.τu = "0.05" res += gauss.integral("(DεuDt_i + ε p_,i / ρ - ε μ u_i,kk + F_i / ρ) τu v_i,j u_j d:x" @ ns) res += gauss.integral("q DεDt d:x" @ ns) @@ -104,8 +106,9 @@ def main(): # TODO: INITIAL CONDITION state = { - 'u': np.zeros(len(ns.ubasis)), - 'p': np.zeros(len(ns.pbasis)), # <- for plotting / vtk output + 'u': np.ones(len(ns.ubasis)) * 10, + 'p': np.zeros(len(ns.pbasis)), # for plotting + 'ε': np.zeros(len(ns.εbasis)), # for plotting } # add convective term and time derivative for Navier-Stokes @@ -120,8 +123,9 @@ def main(): while participant.is_coupling_ongoing(): - x, u, p = bezier.eval(["x_i", "u_i", "p"] @ ns, arguments=state) - export.vtk("Fluid_" + str(timestep), bezier.tri, x, u=u, p=p) + x, u, p, eps = bezier.eval(["x_i", "u_i", "p", "ε"] @ ns, arguments=state) + with log.add(log.DataLog()): + export.vtk("Fluid_" + str(timestep), bezier.tri, x, u=u, p=p, eps=eps) precice_dt = participant.get_max_time_step_size() From 51a7d8534fff1fd55e83c705f28df0a5abee7b58 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 8 May 2026 16:43:56 +0200 Subject: [PATCH 09/15] Flatten the force --- channel-transport-particles/fluid-nutils/fluid.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index c0da1432a..8cd1fdd7e 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -139,7 +139,7 @@ def main(): # Checkpointing for implicit coupling is generally not required state['α'] = participant.read_data(mesh_name, solid_fraction_name, vertex_ids, dt) - state['F'] = participant.read_data(mesh_name, drag_force_name, vertex_ids, dt) + state['F'] = participant.read_data(mesh_name, drag_force_name, vertex_ids, dt).flatten() # determine void ratio state = sys_project_ε.solve(arguments=state) From 9186705b8b3a0a35e821fccf9285368339e9f243 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 8 May 2026 16:45:29 +0200 Subject: [PATCH 10/15] Write output files after the first timestep has completed --- channel-transport-particles/fluid-nutils/fluid.py | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 8cd1fdd7e..2edf7385c 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -123,9 +123,10 @@ def main(): while participant.is_coupling_ongoing(): - x, u, p, eps = bezier.eval(["x_i", "u_i", "p", "ε"] @ ns, arguments=state) - with log.add(log.DataLog()): - export.vtk("Fluid_" + str(timestep), bezier.tri, x, u=u, p=p, eps=eps) + if timestep > 1: # visualize, in earlier timesteps, epsilon is not yet available + x, u, p, eps = bezier.eval(["x_i", "u_i", "p", "ε"] @ ns, arguments=state) + with log.add(log.DataLog()): + export.vtk("Fluid_" + str(timestep), bezier.tri, x, u=u, p=p, eps=eps) precice_dt = participant.get_max_time_step_size() From d0a37852b047c92a3e702b6652c996775f597137 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 8 May 2026 16:51:11 +0200 Subject: [PATCH 11/15] Use mediocre, but better initial conditions for the velocity --- channel-transport-particles/fluid-nutils/fluid.py | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 2edf7385c..517d53043 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -106,9 +106,8 @@ def main(): # TODO: INITIAL CONDITION state = { - 'u': np.ones(len(ns.ubasis)) * 10, + 'u': np.zeros(len(ns.ubasis)), 'p': np.zeros(len(ns.pbasis)), # for plotting - 'ε': np.zeros(len(ns.εbasis)), # for plotting } # add convective term and time derivative for Navier-Stokes From 5c19d95e02021c3208ef4d4c4bda56af82260b0c Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 8 May 2026 17:07:41 +0200 Subject: [PATCH 12/15] Apply density scaling correctly on the pressure gradient --- channel-transport-particles/fluid-nutils/fluid.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 517d53043..dc248755d 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -150,10 +150,10 @@ def main(): state["dt"] = dt state = sys_vans.solve(constrain=cons, arguments=state, tol=1e-10) - velocity_values, pressure_gradient_values = gauss.eval(['u_i', 'ρf p_,i'] @ ns, arguments=state) # COMMENT: here we would also need to write the pressure gradient to preCICE # Important note: OpenFOAM scales the pressue (and thereby also its gradient) by the fluid density, so we would # need to do the same scaling here. I set the fluid density to 1.2 + velocity_values, pressure_gradient_values = gauss.eval(['u_i', 'p_,i / ρf'] @ ns, arguments=state) participant.write_data(mesh_name, data_name, vertex_ids, velocity_values) participant.write_data(mesh_name, pressure_gradient_name, vertex_ids, pressure_gradient_values) From 45db66bc1a14c4849bffa52c51a306085fda7cc6 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 8 May 2026 19:29:42 +0200 Subject: [PATCH 13/15] Add stabilization terms and complete the discretization --- .../fluid-nutils/fluid.py | 45 ++++++++++++------- 1 file changed, 30 insertions(+), 15 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index dc248755d..5526164cc 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -56,26 +56,41 @@ def main(): ns.ε0 = "εbasis_n ?ε0_n" # previous void fraction ns.F_i = "Fbasis_ni ?F_n" # drag force ns.g = np.array([0, -9.81]) - ns.ρ = 1.0 # density TODO FIX VALUE - ns.ρf = 1.2 # QUESTION: different from ρ + ns.ρf = 1.2 # fluid density ns.DεDt = "(ε - ε0) / ?dt + (ε u_i)_,i" - ns.DεuDt_i = "(ε u_i - ε0 u0_i) / ?dt + ε u_i,j u_j" - ns.μ = 0.5 # dynamic viscosity - ns.σ_ij = "μ (u_i,j + u_j,i) - p δ_ij" + ns.DuDt_i = "(u_i - u0_i) / ?dt + u_i,j u_j" + ns.μ = 1.8e-5 # dynamic viscosity ns.uin = "10 x_1 (2 - x_1)" # inflow profile - # define the weak form, Stokes problem - res = gauss.integral("(DεuDt_i v_i + μ (ε u_i,j)_,j v_i - p (ε v_i)_,i / ρ + F_i v_i / ρ) d:x" @ ns) + # define the weak form + # Gertjan implemented DεuDt_i instead of the ε DuDt_i + # where ns.DεuDt_i = "(ε u_i - ε0 u0_i) / ?dt + ε u_i,j u_j" + res = gauss.integral("(ε DuDt_i v_i - p (ε v_i)_,i / ρf + F_i v_i / ρf) d:x" @ ns) + + # the version closest to the paper notation + res += gauss.integral("((ε μ u_i,kk + μ u_i,j ε_,j) v_i) / ρf d:x" @ ns) + # or Gertjan's equivalent version + # res += gauss.integral("(μ (ε u_i,j)_,j v_i) / ρf d:x" @ ns) + + # less strict form ? + # res += gauss.integral("-μ ε u_i,j v_i,j d:x" @ ns) + # Define the stabilization parameter \tau u according to Tezduyar - ns.h = 0.125 # TODO: How do I get the element size here? - ns.hconv = "h" # element size related to convection (I would stick to h) - ns.hdiff = "h" # element size related to diffusion (I would stick to h here) - ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k + 1e-15)^0.5 / hconv)^2 + 9 (4 (μ / ρ) / hdiff^2)^2)^-0.5" - #ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k)^0.5 + 1e-15 / hconv)^2 + 9 (4 (μ / ρ) / hdiff^2)^2)^-0.5" - #ns.τu = "0.05" - - res += gauss.integral("(DεuDt_i + ε p_,i / ρ - ε μ u_i,kk + F_i / ρ) τu v_i,j u_j d:x" @ ns) + ns.h = 0.08 # TODO: How do I get the element size here? note that this affects gamma + ns.hconv = "h" # element size related to convection (I would stick to h) + ns.hdiff = "h" # element size related to diffusion (I would stick to h here) + ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k + 1e-15)^0.5 / hconv)^2 + 9 (4 (μ / ρf) / hdiff^2)^2)^-0.5" + + # TODO: Refactor the \tau_u terms to use the same strong_res (remove duplication) + # ns.strong_res_i = "ε DuDt_i + (ε p_,i / ρf) - (ε μ u_i,kk) + (F_i / ρf)" + res += gauss.integral("(ε DuDt_i + ε p_,i / ρf - ε μ u_i,kk + F_i / ρf) τu v_i,j u_j d:x" @ ns) + + ns.γ = "μ / ρf + h (u_k u_k + 1e-15)^0.5" + res += gauss.integral("γ DεDt v_i,i d:x" @ ns) + + # Continuity equation including the PSPG stabilization res += gauss.integral("q DεDt d:x" @ ns) + res += gauss.integral("(ε DuDt_i + ε p_,i / ρf - ε μ u_i,kk + F_i / ρf) τu q_,i d:x" @ ns) # Dirichlet boundary condition sqr = domain.boundary["inflow"].integral("(u_0 - uin)^2 d:x" @ ns, degree=2) From b470644567f7a66a57b086b73c62bd48984593b9 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Fri, 8 May 2026 19:53:17 +0200 Subject: [PATCH 14/15] Rectify division by density --- channel-transport-particles/fluid-nutils/fluid.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index 5526164cc..cd32a8912 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -83,14 +83,14 @@ def main(): # TODO: Refactor the \tau_u terms to use the same strong_res (remove duplication) # ns.strong_res_i = "ε DuDt_i + (ε p_,i / ρf) - (ε μ u_i,kk) + (F_i / ρf)" - res += gauss.integral("(ε DuDt_i + ε p_,i / ρf - ε μ u_i,kk + F_i / ρf) τu v_i,j u_j d:x" @ ns) + res += gauss.integral("(ε DuDt_i + ε p_,i / ρf - ε μ u_i,kk / ρf + F_i / ρf) τu v_i,j u_j d:x" @ ns) ns.γ = "μ / ρf + h (u_k u_k + 1e-15)^0.5" res += gauss.integral("γ DεDt v_i,i d:x" @ ns) # Continuity equation including the PSPG stabilization res += gauss.integral("q DεDt d:x" @ ns) - res += gauss.integral("(ε DuDt_i + ε p_,i / ρf - ε μ u_i,kk + F_i / ρf) τu q_,i d:x" @ ns) + res += gauss.integral("(ε DuDt_i + ε p_,i / ρf - ε μ u_i,kk / ρf + F_i / ρf) τu q_,i d:x" @ ns) # Dirichlet boundary condition sqr = domain.boundary["inflow"].integral("(u_0 - uin)^2 d:x" @ ns, degree=2) From f9e3f392f0388ce0622cbf96624a0202b28e82c1 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Tue, 12 May 2026 11:19:19 +0200 Subject: [PATCH 15/15] Fix the integration by parts on the viscous term --- .../fluid-nutils/fluid.py | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/channel-transport-particles/fluid-nutils/fluid.py b/channel-transport-particles/fluid-nutils/fluid.py index cd32a8912..3d51fe00f 100644 --- a/channel-transport-particles/fluid-nutils/fluid.py +++ b/channel-transport-particles/fluid-nutils/fluid.py @@ -68,16 +68,16 @@ def main(): res = gauss.integral("(ε DuDt_i v_i - p (ε v_i)_,i / ρf + F_i v_i / ρf) d:x" @ ns) # the version closest to the paper notation - res += gauss.integral("((ε μ u_i,kk + μ u_i,j ε_,j) v_i) / ρf d:x" @ ns) + # res += gauss.integral("((ε μ u_i,kk + μ u_i,j ε_,j) v_i) / ρf d:x" @ ns) # or Gertjan's equivalent version # res += gauss.integral("(μ (ε u_i,j)_,j v_i) / ρf d:x" @ ns) + # But mistake in the paper? I think there shouldn't be the second derivative on u + # Instead the standard integrated-by-parts form and a term with grad epsilon, i.e., from the product rule + res += gauss.integral("(ε μ u_i,k v_i,k / ρf + (μ u_i,j ε_,j) v_i / ρf) d:x" @ ns) - # less strict form ? - # res += gauss.integral("-μ ε u_i,j v_i,j d:x" @ ns) - - # Define the stabilization parameter \tau u according to Tezduyar + # Define the stabilization parameter \tau u according to Tezduyar, Eq. (16) ns.h = 0.08 # TODO: How do I get the element size here? note that this affects gamma - ns.hconv = "h" # element size related to convection (I would stick to h) + ns.hconv = "h" # element size related to convection (I would stick to h unless there is a better idea) ns.hdiff = "h" # element size related to diffusion (I would stick to h here) ns.τu = "((1 / ?dt)^2 + (2 (u_k u_k + 1e-15)^0.5 / hconv)^2 + 9 (4 (μ / ρf) / hdiff^2)^2)^-0.5" @@ -125,9 +125,7 @@ def main(): 'p': np.zeros(len(ns.pbasis)), # for plotting } - # add convective term and time derivative for Navier-Stokes - # ures += gauss.integral("ubasis_ni (dudt_i + μ (u_i u_j)_,j) d:x" @ ns) - + # Projection of the volume fraction sqr = gauss.integral('(ε - (1 - α))^2 d:x' @ ns) sys_project_ε = solver.System(sqr, trial='ε')