From a694eecac28f62f2422e68075c28c21c5e195d23 Mon Sep 17 00:00:00 2001 From: Abderrazak Kasmi Date: Fri, 7 Aug 2026 17:57:10 +0200 Subject: [PATCH] Ajout_cas_th_conjugate_ht_steady --- .../CASE/DATA/setup.xml | 326 ++++++++++++++ .../FIGURES/cht_conjugate_temperature.png | Bin 0 -> 134427 bytes .../FIGURES/cht_mesh_boundary_conditions.png | Bin 0 -> 1708219 bytes ...3cylinders_code_saturne_split_farfield.msh | 3 + .../Th_Conjugate_Heat_Transfer/README.md | 398 ++++++++++++++++++ 5 files changed, 727 insertions(+) create mode 100644 20_thermal/Th_Conjugate_Heat_Transfer/CASE/DATA/setup.xml create mode 100644 20_thermal/Th_Conjugate_Heat_Transfer/FIGURES/cht_conjugate_temperature.png create mode 100644 20_thermal/Th_Conjugate_Heat_Transfer/FIGURES/cht_mesh_boundary_conditions.png create mode 100644 20_thermal/Th_Conjugate_Heat_Transfer/MESH/cht_3cylinders_code_saturne_split_farfield.msh create mode 100644 20_thermal/Th_Conjugate_Heat_Transfer/README.md diff --git a/20_thermal/Th_Conjugate_Heat_Transfer/CASE/DATA/setup.xml b/20_thermal/Th_Conjugate_Heat_Transfer/CASE/DATA/setup.xml new file mode 100644 index 0000000..247d516 --- /dev/null +++ b/20_thermal/Th_Conjugate_Heat_Transfer/CASE/DATA/setup.xml @@ -0,0 +1,326 @@ + + + + + + + all[] + + + + + all[] + + + + 1.5 + 0 + 0 + + + 5.875 + 0 + 0 + + + 11.5 + 0 + 0 + + + 1 + + + + + + + + + + + + + + 1500 + 1 + 10 + + + + 2 + 1000 + 0.1 + 0.1 + 0.1 + + + + 101 + 102 + 103 + 104 + 105 + 106 + 107 + + + 288.15 + + + 1 + + + 1 + 0 + 0 + 3.40297 + + + + + 0 + + + + + + + 350 + + + 0 + 0 + 0 + + + + + 350 + + + 0 + 0 + 0 + + + + + 350 + + + 0 + 0 + 0 + + + + + + + + + + + + + + + + + + density = 0.000210322 * 288.15 / temperature; + 0.000210322 + + density = 0.000210322; + + + density = 0.000210322; + + + density = 0.000210322; + + + + 0.01 + + + + + 1.7893e-05 + + + + molecular_viscosity = mu0; + + + molecular_viscosity = mu0; + + + molecular_viscosity = mu0; + + + + 1004.703 + + + + specific_heat = 1004.703; + + + specific_heat = 1004.703; + + + specific_heat = 1004.703; + + + + 0.024968265 + + + + thermal_conductivity = 0.1028; + + + thermal_conductivity = 0.1028; + + + thermal_conductivity = 0.1028; + + + 101325 + 288.15 + + + 0 + 0 + 0 + + + + 0 + 0 + 0 + + + + + + + + + + + + + + + all[] + 1 + 2 + 3 + 4 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 0 + + + + + + + + + + + + + + + + + temperature = 288.15; + temperature = 350; + temperature = 350; + temperature = 350; + 1e+12 + 0 + 1 + SGDH + + + + + + + + + + + + + 1 + 0 + + + + velocity[0] = 3.40297; +velocity[1] = 0.; +velocity[2] = 0.; + velocity[0] = 0.; +velocity[1] = 0.; +velocity[2] = 0.; + velocity[0] = 0.; +velocity[1] = 0.; +velocity[2] = 0.; + velocity[0] = 0.; +velocity[1] = 0.; +velocity[2] = 0.; + + + + + + + + + + + + 2 + + + 1 + + + + \ No newline at end of file diff --git a/20_thermal/Th_Conjugate_Heat_Transfer/FIGURES/cht_conjugate_temperature.png 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zcfn6r+Cv6*?bJ9iUC~CITbBFlz>22qCOt8Fsdh4w> z>r*?In?22nc(-Yp@6HKNK8w{K*D~pFv4!XR=;yINKWz#RSKE4d;%;Ue`^IgT~Mlu@rpMSn__>h7A^M%hR ze|+RW{~>?)b>Pqco + 2D mesh and boundary conditions. +
+ Figure 1: Mesh and boundary conditions (z = 0m slice). +

+ +The external circular boundary is split into an upstream inlet half and a downstream outlet half. The green interfaces shown in the figure correspond to the internally coupled outer surfaces of the three solid cylinders. The magenta inner circles are the heated cores. + +### Boundary conditions + +| Boundary | Type | Thermal condition | Flow condition | +|---|---|---|---| +| `inlet` | Inlet | $T=288.15\ \mathrm{K}$ | $\mathbf{u}=(3.40297,0,0)\ \mathrm{m\,s^{-1}}$ | +| `outlet` | Outlet | Zero normal temperature gradient | Standard pressure outlet | +| `core1` | Wall | $T=350\ \mathrm{K}$ | Solid inner boundary | +| `core2` | Wall | $T=350\ \mathrm{K}$ | Solid inner boundary | +| `core3` | Wall | $T=350\ \mathrm{K}$ | Solid inner boundary | +| `front` | Symmetry | Symmetry | Symmetry | +| `back` | Symmetry | Symmetry | Symmetry | +| Fluid-solid interfaces | Internal coupling | Temperature and heat-flux continuity | Automatically generated from the solid zones | + +The outer cylinder surfaces do not require prescribed wall temperatures. Their interface temperatures are determined by the conjugate heat-transfer solution. + +## Numerical setup + +The principal numerical settings in `CASE/DATA/setup.xml` are: + +| Setting | Value | +|---|---:| +| Flow regime | Laminar | +| Fluid-solid coupling | Internal coupling of `temperature` | +| Solid zones | `solid1`, `solid2`, `solid3` | +| Velocity-pressure algorithm | SIMPLEC | +| Time treatment | Pseudo-steady local time step | +| Number of iterations | 1500 | +| Reference pseudo-time step | 0.1 s | +| Target maximum Courant number | 1 | +| Target maximum Fourier number | 10 | +| Minimum local-step factor | 0.1 | +| Maximum local-step factor | 1000 | +| Gravity | $(0,0,0)$ | + +The pseudo-time used by the steady local-time-step algorithm is a numerical convergence device. Intermediate iteration times should therefore **not** be interpreted as physical transient time. + +### Initialization + +The fluid region is initialized with + +$$ +\mathbf{u}=(3.40297,0,0)\ \mathrm{m\,s^{-1}}, +\qquad +T=288.15\ \mathrm{K}. +$$ + +The three solid regions are initialized at + +$$ +T=350\ \mathrm{K}. +$$ + +Three monitoring probes are defined on the centerline: + +| Probe | $x$ (m) | $y$ (m) | $z$ (m) | +|---|---:|---:|---:| +| 1 | 1.5 | 0 | 0 | +| 2 | 5.875 | 0 | 0 | +| 3 | 11.5 | 0 | 0 | + +These probes can be used to monitor the convergence of temperature, velocity, and other fields in the wakes of the heated cylinders. + +## Running the simulation + +The commands below start from the tutorial directory: + +```bash +cd Th_Conjugate_Heat_Transfer/ +``` + +### Option A: Graphical interface + +```bash +code_saturne gui CASE/DATA/setup.xml & +``` + +The GUI opens the pre-configured `setup.xml`. Review the setup if you wish, +then launch the run with the **gear (Run) button** in the toolbar. To run in +parallel, set the number of processes under +**Calculation management > Performance settings** before launching. + +### Option B: Command line + +The command-line launcher is run from inside the case directory: + +```bash +cd CASE + +# serial +code_saturne run + +# parallel (e.g. 4 MPI ranks) +code_saturne run --n 4 +``` + +Each run creates a time-stamped directory `CASE/RESU//` containing: + +- `run_solver.log`: solver log and residual history, +- `monitoring/`: probe time series (`probes_*.csv`), +- `postprocessing/`: volume and boundary fields in EnSight Gold format. + +## Results and verification + +### Conjugate temperature field + +

+ Conjugate temperature distribution. +
+ Figure 2: Conjugate temperature distribution. +

+ +The temperature field shows the expected coupled conduction-convection behavior. Each core supplies heat to its surrounding solid annulus. The heat then crosses the internally coupled outer cylinder surface and is transported downstream by the fluid. + +Several characteristic features are visible: + +- the hottest region is located around each heated core; +- the temperature decreases through the solid toward each fluid-solid interface; +- a thermal wake develops downstream of every cylinder; +- the wakes are convected in the positive $x$ direction; +- the second and third cylinders interact with fluid that has already been thermally disturbed by upstream cylinders; +- the solution remains symmetric about the centerline, as expected for the geometry and imposed boundary conditions of the steady laminar problem. + +### Verification checks + +The present tutorial is intended primarily as a reproducible CHT setup rather than a high-accuracy validation campaign. The direct solution can nevertheless be checked using several physical and numerical consistency criteria: + +1. The inlet conditions give $Re_D\approx40$, consistent with the laminar model. +2. The material properties give $Pr\approx0.72$ and $k_s/k_f\approx4.12$. +3. Temperature should vary smoothly across each internally coupled fluid-solid interface; an artificial temperature jump would indicate an incorrect coupling definition or post-processing interpretation. +4. The heat-flux direction must be from the $350\ \mathrm{K}$ cores toward the colder incoming fluid. +5. The converged temperature field should be symmetric about $y=0$. +6. The downstream thermal wakes should become progressively influenced by upstream heating as the flow crosses the three-cylinder array. +7. Residual histories and the three centerline probes should approach stationary values before the solution is considered converged. + +No grid-convergence study or independent quantitative temperature/heat-flux reference is included in the present case. Verification is therefore based on the benchmark parameters, interface continuity, symmetry, convergence behavior, and the expected structure of the conjugate temperature field. + +## Summary and limitations + +This tutorial demonstrates a complete direct conjugate heat-transfer calculation in code_saturne using: + +- one laminar fluid region and three solid regions in a single mesh; +- the temperature equation in both fluid and solids; +- internal thermal coupling across fluid-solid interfaces; +- temperature-dependent fluid density; +- distinct fluid and solid thermal conductivities; +- fixed-temperature inner cores; +- a pseudo-steady SIMPLEC solution procedure; +- a quasi-two-dimensional mesh with symmetry front and back planes. + +The case provides a compact example of how conduction inside solids and convection in a surrounding fluid can be solved simultaneously without prescribing the unknown outer cylinder temperatures. + +The following limitations should be kept in mind: + +- the calculation is quasi-two-dimensional and excludes spanwise effects; +- the flow is laminar and fixed at approximately $Re_D=40$; +- gravity and thermal radiation are neglected; +- material properties are constant except for the prescribed fluid density law; +- the very low reference density is a benchmark scaling choice and is not representative of atmospheric air; +- the inner cores are maintained at a fixed temperature rather than heated by a volumetric source or imposed heat flux; +- only the direct steady solution is considered; +- no mesh-independence study is supplied; +- the current verification is mainly physical and qualitative rather than a quantitative validation against independent measurements. + +The case is therefore best suited as an introductory internal-CHT tutorial and as a starting point for more detailed studies of interface heat flux, mesh sensitivity, alternative material properties, or higher-Reynolds-number thermal flows. + +## References + +1. code_saturne documentation, *Conjugate heat transfer — Internal Fluid-Thermal coupling*: . +2. code_saturne project documentation and user resources: . +3. S. V. Patankar, *Numerical Heat Transfer and Fluid Flow*, Hemisphere Publishing Corporation, 1980. +4. F. P. Incropera, D. P. DeWitt, T. L. Bergman, and A. S. Lavine, *Fundamentals of Heat and Mass Transfer*, Wiley.