Reflow soldering thermal analysis

Category: Thermal Analysis | Integrated 2026-04-06
CAE visualization for reflow soldering theory - technical simulation diagram
Reflow soldering thermal analysis

Reflow soldering thermal: Theoretical Foundations

Overview

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Teacher! Today's topic is about reflow soldering thermal analysis, right? What is it like?


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Optimizing the temperature profile inside a reflow oven for electronic components. Controlling TAL (Time Above Liquidus) and peak temperature.




Governing Equations




$$ \frac{\partial T}{\partial t} = \alpha\nabla^2 T + \frac{q_{heater}}{\rho c_p} $$
$$ TAL = t(T > T_{liquidus}) $$



πŸ§‘β€πŸŽ“

I see... Reflow soldering heat seems simple at first glance, but it's actually very profound, isn't it?


Discretization Methods

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How do you actually solve this equation 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 Solution Algorithms

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What exactly are matrix solution algorithms?


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Solve the simultaneous equations by 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(nΒ²)Small to Medium Scale
Cholesky decompositionDirect Method (Symmetric Positive Definite)O(nΒ²)Small to Medium Scale
PCG MethodIterative MethodO(n)Large Scale
GMRES methodIterative MethodO(nΒ·m)Large Scale / Non-symmetric
AMG PreconditionerPreprocessingO(n)Very Large Scale
πŸ§‘β€πŸŽ“

So, if you cut corners on the finite element method part, you'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 to do reflow soldering thermal analysis?


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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Are the origins of each software quite dramatic?



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. Polyhedral meshing is a key feature.

Current affiliation: Siemens Digital Industries Software


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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


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Wow, the story of 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. Transition to STEP is progressing.
CGNS.cgnsCFD DataCFD General Notation System. Standard exchange format for CFD results.
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When transferring data between different software, always check the target tool's supported formats. STEP is the most universally compatible format for CAD geometry. For CFD data, CGNS ensures interoperability across solvers.


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Related fields

Structural AnalysisFluid AnalysisManufacturing Process Analysis
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