Industrial Furnace Simulation

Category: 熱解析 | Integrated 2026-04-06
CAE visualization for furnace simulation theory - technical simulation diagram
工業炉シミュレーション

Theory and Physics

Overview

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Teacher! Today's topic is about industrial furnace simulation, right? What is it like?


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Prediction of temperature distribution and thermal efficiency inside a heating furnace. Analysis integrating gas radiation, convection, and conduction to the furnace walls.



🧑‍🎓

I see. So if we can get the temperature distribution inside the heating furnace, we're basically good to start?


Governing Equations




$$ \nabla\cdot(k\nabla T) + q_{rad} + q_{conv} = \rho c_p \frac{\partial T}{\partial t} $$
$$ q_{rad} = \varepsilon\sigma(T_w^4 - T_g^4) $$



🧑‍🎓

After hearing this, I finally understand why industrial furnace simulation is so important!


Discretization Methods

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How do we actually solve these equations on a computer?


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We use spatial discretization by the Finite Element Method (FEM). We assemble the element stiffness matrix and construct the global stiffness equation.


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We perform transformation to the weak form (variational form) and use formulation by the Galerkin method using test functions and shape functions. The choice of element type (low-order elements vs. high-order elements, full integration vs. reduced integration) directly affects the trade-off between solution accuracy and computational cost.




Matrix Solver Algorithms

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What exactly are matrix solver algorithms?


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We solve the simultaneous equations using direct methods (LU decomposition, Cholesky decomposition) or iterative methods (CG method, GMRES method). For large-scale problems, preconditioned iterative methods are effective.



SolverClassificationMemory UsageApplicable Scale
LU decompositionDirect MethodO(n²)Small to Medium Scale
Cholesky decompositionDirect Method (Symmetric Positive Definite)O(n²)Small to Medium Scale
PCG MethodIterative MethodO(n)Large Scale
GMRES methodIterative MethodO(n·m)Large Scale / Non-symmetric
AMG PreconditionerPreprocessingO(n)Very Large Scale
🧑‍🎓

So if we cut corners on the finite element method part, we'll pay for it later. I'll keep that in mind!


Implementation in Commercial Tools

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So, what software can be used for industrial furnace simulation?


Tool NameDeveloper/CurrentMain File Formats
Ansys FluentAnsys Inc..cas, .dat, .msh, .jou
Simcenter STAR-CCM+Siemens Digital Industries Software.sim, .java, .csv
Abaqus FEA (SIMULIA)Dassault Systèmes SIMULIA.inp, .odb, .cae, .sta, .msg
Ansys Mechanical (formerly ANSYS Structural)Ansys Inc..cdb, .rst, .db, .ans, .mac
COMSOL MultiphysicsCOMSOL AB.mph

Vendor Lineage and Product Integration History

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Do the origins of each software have some dramatic stories?



Ansys Fluent

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Next is about Ansys Fluent. What's the story?


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Developed by Fluent Inc. Acquired by Ansys in 2006. A general-purpose CFD solver based on unstructured grids.

Current Affiliation: Ansys Inc.



Simcenter STAR-CCM+

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Next is about Simcenter STAR. What's the story?


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Developed by CD-adapco. Acquired by Siemens in 2016 and integrated into the Simcenter brand. Known for polyhedral meshes.

Current Affiliation: Siemens Digital Industries Software


🧑‍🎓

After hearing this, I finally understand why development is so important!



Abaqus FEA (SIMULIA)

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What exactly is Abaqus FEA?


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Developed in 1978 by HKS (Hibbitt, Karlsson & Sorensen). Acquired by Dassault Systèmes in 2005 and integrated into the SIMULIA brand.

Current Affiliation: Dassault Systèmes SIMULIA


🧑‍🎓

Wow, the story about development is super interesting! Tell me more.


File Formats and Interoperability

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Are there any points to note when transferring data between different software?


FormatExtensionTypeOverview
STEP.stp/.stepNeutral CADISO 10303 compliant 3D CAD data exchange format. Supports geometry + PMI.
IGES.igs/.igesNeutral CADEarly CAD data exchange standard. Has issues with surface data compatibility. Migration to STEP is progressing.
CGNS.cgnsCFD DataCFD General Not
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