Fire Thermal Fluid Simulation

Category: Analysis | Consolidated 2026-04-06
CAE visualization for fire simulation thermal theory - technical simulation diagram
Fire Thermal Fluid Simulation

Fire Thermal Fluid Theory Basics

Overview

🧑‍🎓

Professor! Today we're talking about fire thermal fluid simulation, right? What is it?


🎓

Fire plume and smoke flow simulation using FDS. Radiation heat transfer and ignition determination for combustibles. Evacuation safety evaluation.




Governing Equations




$$ \dot{Q} = \chi \dot{m}_f \Delta H_c $$
$$ \rho c_p \frac{\partial T}{\partial t} + \rho c_p \mathbf{u}\cdot\nabla T = \nabla\cdot(k\nabla T) + \dot{q}''' $$




Discretization Methods

🧑‍🎓

How do we actually solve these equations on a computer?


🎓

We use Finite Element Method (FEM) with spatial discretization. Assemble element stiffness matrices and construct the global stiffness equations.


🎓

We perform a transformation to weak form (variational form) and use Galerkin method formulation with trial functions and shape functions. Element type selection (low-order vs. higher-order elements, full integration vs. reduced integration) directly affects the accuracy and computational cost trade-off.




Matrix Solution Algorithm

🧑‍🎓

What exactly is a matrix solution algorithm?


🎓

Direct methods (LU decomposition, Cholesky decomposition) or iterative methods (CG method, GMRES method) solve the linear system. For large-scale problems, preconditioned iterative methods are effective.



SolverClassificationMemory UsageApplicable Scale
LU DecompositionDirect MethodO(n²)Small to Medium
Cholesky DecompositionDirect Method (Symmetric Positive Definite)O(n²)Small to Medium
PCG MethodIterative MethodO(n)Large-Scale
GMRES MethodIterative MethodO(n·m)Large-Scale, Non-Symmetric
AMG PreconditionerPreconditionerO(n)Ultra Large-Scale
🧑‍🎓

So if we skimp on the finite element method part, we'll suffer later. I'll keep that in mind!


Implementation in Commercial Tools

🧑‍🎓

So what software can be used for fire thermal fluid simulation?


Tool NameDeveloper/CurrentMain File Format
Ansys FluentANSYS Inc..cas, .dat, .msh, .jou
Simcenter STAR-CCM+Siemens Digital Industries Software.sim, .java, .csv
COMSOL MultiphysicsCOMSOL AB.mph
OpenFOAMOpen Source (OpenCFD/ESI, OpenFOAM Foundation)Dictionary files (blockMeshDict, etc.), .foam

Vendor Genealogy and Product Integration History

🧑‍🎓

Is the history of each software development quite dramatic?



Ansys Fluent

🧑‍🎓

Now we're talking about Ansys Fluent. What's the story?


🎓

Fluent Inc. developed it. ANSYS acquired it in 2006. Unstructured grid-based general-purpose CFD solver.

Current Owner: ANSYS Inc.



Simcenter STAR-CCM+

🧑‍🎓

Now we're talking about Simcenter STAR. What's the story?


🎓

CD-adapco developed it. Siemens acquired it in 2016 and integrated it into the Simcenter brand. Polyhedral meshing is its characteristic feature.

Current Owner: Siemens Digital Industries Software


🧑‍🎓

Now I finally understand why the development history is important!



COMSOL Multiphysics

🧑‍🎓

Tell me about "COMSOL Multiphysics"!


🎓

Founded in Sweden in 1986. Started as FEMLAB with MATLAB integration, later renamed to COMSOL. Strong in multiphysics.

Current Owner: COMSOL AB


🧑‍🎓

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



File Formats and Interoperability

🧑‍🎓

Are there any precautions when exchanging data between different software?


FormatExtensionTypeOverview
STEP.stp/.stepNeutral CADISO 10303 compliant 3D CAD data exchange format. Shape + PMI support.
CGNS.cgnsCFD DataCFD General Notation System. Standard exchange format for CFD results.
VTK.vtk/.vtuVisualizationVisualization Toolkit format. Used in ParaView and others.
🎓

When converting models between different solvers, pay careful attention to element type correspondence, material model compatibility, and differences in how loads and boundary conditions are expressed. Solver-specific elements (cohesive elements, user-defined elements, etc.) often cannot be directly converted between solvers.


🧑‍🎓

I see... formats look simple on the surface, but they're actually very deep.


Practical Considerations

🧑‍🎓

Are there "tricks of the trade" that aren't covered in textbooks?


🎓

Mesh convergence verification, boundary condition validity checks, and material parameter sensitivity analysis are really important.


🎓
  • Mesh dependency verification: Verify convergence with at least 3 mesh density levels
  • Boundary condition validity: Set physically meaningful constraint conditions
  • Result verification: Compare with analytical solutions, experimental data, and known benchmark problems



  • 🎓

    Yes, you're on the right track! Actually getting hands-on is the best learning. Ask anytime you're unsure.


    Coffee Break Trivia Corner

    Plume and Buoyancy—The Physics That Drives Fire

    Fire thermal flow is dominated by "buoyancy." High-temperature gas near the fire source (with density 1/3 to 1/5 of surrounding air) rises rapidly and entrains surrounding air, forming a thermal plume. The upward velocity of this plume is proportional to the 1/3 power of fire source output (Q̇^(1/3))—a useful rule of thumb. For a 10 MW fire, the center upward velocity reaches 10-20 m/s. Critical in simulation is "fire source modeling"—rather than modeling the actual flame in detail, the standard approach is to input the "heat release rate (HRR)." FDS can reproduce actual fires by inputting time-varying HRR based on Drysdale or Chandler equations.

    Fire Thermal Fluid Numerical Methods

    Numerical Methods Details

    🧑‍🎓

    What specific algorithms are used to solve fire thermal fluid simulation?



    🧑‍🎓

    Wow, fire thermal fluid simulation is so interesting! Tell me more.


    Discretization Formulation



    🎓

    Using shape functions $N_i$, we approximate the unknown quantities as:



    $$ u^h(\mathbf{x}) = \sum_{i=1}^{n} N_i(\mathbf{x}) \, u_i $$




    🎓

    This is expressed mathematically as:


    $$ K_e = \int_{\Omega_e} B^T \, D \, B \, d\Omega \approx \sum_{g=1}^{n_g} w_g \, B^T(\xi_g) \, D \, B(\xi_g) \, |J(\xi_g)| $$

    Discrete Form of Governing Equations


    🎓

    This is expressed mathematically as:


    $$ \dot{Q} = \chi \dot{m}_f \Delta H_c $$
    $$ \rho c_p \frac{\partial T}{\partial t} + \rho c_p \mathbf{u}\cdot\nabla T = \nabla\cdot(k\nabla T) + \dot{q}''' $$

    🧑‍🎓

    Hmm, equations alone don't really help... What do they represent?


    🎓

    Discretizing the continuum governing equations yields the following algebraic system:



    $$ [K]\{u\} = \{F\} $$


    🎓

    Here $[K]$ is the global stiffness matrix (or equivalent system matrix), $\{u\}$ is the unknown nodal variable vector, and $\{F\}$ is the load vector.


    🧑‍🎓

    Ah, I see! The discretization of the continuum governing equations works that way.


    Element Technology

    🧑‍🎓

    I've heard the term "element technology," but I'm not sure I fully understand it...


    Element TypeOrderNodes (3D)AccuracyComputational Cost
    Tetrahedron 1st OrderLinear4Low (Shear Locking)Low
    Tetrahedron 2nd OrderQuadratic10HighMedium
    Hexahedron 1st OrderLinear8MediumMedium
    Hexahedron 2nd OrderQuadratic20Very HighHigh
    PrismLinear/Quadratic6/15Medium to HighMedium

    Integration Scheme

    🧑‍🎓

    What exactly is an integration scheme?


    🎓
    • Full Integration: Integrate all terms accurately. Tendency for stiffness overestimation (locking)
    • Reduced Integration: Reduce number of integration points. Improves efficiency but risks hourglass mode generation
    • Selective Reduced Integration (B-bar method): Separate and integrate volumetric and deviatoric terms. Avoids locking

    • 🧑‍🎓

      Now I finally understand why element type is important!


      Convergence and Stability

      🧑‍🎓

      What should I check first if convergence fails?


      🎓
      • h-refinement: Subdivide mesh (reduce element size h) to improve accuracy
      • p-refinement: Increase element polynomial order to improve accuracy
      • hp-refinement: Optimize h and p simultaneously

      • 🎓

        Convergence Rate: Error decreases at O(h^2) order for quadratic elements (for smooth solutions)


        🧑‍🎓

        I see... mesh refinement looks simple on surface, but it's actually very deep.


        Solver Setting Recommendations

        🧑‍🎓

        What specific algorithms are used to solve fire thermal fluid simulation?


        ParameterRecommended ValueNotes
        Iterative Method Convergence Criterion$10^{-6}$Residual norm basis
        Preconditioning MethodILU(0) or AMGDepends on problem size
        Maximum Iterations1000Review settings if non-convergent
        Memory ModeIn-coreWhen possible

        Monolithic Method

        Solve all physical fields simultaneously in a single linear system. Stable for strong coupling but requires dedicated solvers and large memory.

        Partitioned Method (Separate Iteration)

        Solve each physical field independently, exchange data at interfaces, iterate until convergence. Easy to implement and can reuse existing solvers. Suited to weak coupling.

        Interface Data Transfer

        Nearest neighbor method (simplest but low accuracy), projection method (conservative), RBF interpolation (strong for non-matching meshes). Balance between conservation and accuracy is important.

        Sub-iteration

        Sufficient iterations within each coupling step ensure interface condition consistency. Scale residual criteria based on each field's typical values.

        Aitken Relaxation

        Automatically adjust relaxation coefficient of coupling iterations. Prevent divergence from over-relaxation and accelerate convergence adaptively.

        Stability Conditions

        Watch for added mass effect (when fluid density ≈ structure density in FSI). Apply Robin-type interface conditions or IQN-ILS method if unstable.

        Fire Thermal Fluid Practical Application

        Practical Guide

        🧑‍🎓

        Professor, tell me about "Practical Guide"!


        🎓

        I'll explain the practical analysis workflow and precautions for fire thermal fluid simulation.


        🧑‍🎓

        Wow, fire thermal fluid simulation is so interesting! Tell me more.


        Analysis Workflow

        🧑‍🎓

        Teach me from the very first step! Where do I start?


        🎓

        1. Preprocessing

        • Import and simplify CAD data
        • Define material properties
        • Mesh generation (determine element type and size)
        • Set boundary and loading conditions

        🎓

        2. Solving

        • Configure solver (method, convergence criteria, output control)
        • Submit and run analysis
        • Monitor convergence

        🎓

        3. Postprocessing

        • Visualize results (displacement, stress, other quantities)
        • Verify and validate results
        • Prepare report


        Mesh Generation Best Practices

        🧑‍🎓

        How do we judge the quality of a mesh?



        Element Quality Metrics

        🧑‍🎓

        Tell me about "element quality metrics"!


        MetricIdeal ValueAcceptable RangeImpact
        Aspect Ratio1.0< 5.0Accuracy Reduction
        Jacobian Ratio1.0> 0.3Element Distortion
        Warping< 15°Accuracy Reduction
        Skewness< 45°Convergence Deterioration
        Taper Ratio0< 0.5Accuracy Reduction

        Mesh Density Determination

        🧑‍🎓

        What exactly is mesh density determination?


        🎓
        • Stress concentration areas: Place at least 3 element layers
        • High stress gradient regions: Reduce element size to 1/3 to 1/5 of surroundings
        • Load application point vicinity: Local refinement
        • Far-field regions: Coarse mesh to maintain computational efficiency


        • Boundary Condition Setting Guidelines

          🧑‍🎓

          I heard that if you get boundary conditions wrong, everything falls apart...


          🎓
          • Watch for over-constraint: Rigid body motion requires only 6 DOF constraints
          • Leverage symmetry: Reduce problem size
          • Equivalent load distribution: Choose between concentrated and distributed loads

          • 🧑‍🎓

            Ah, I see! Over-constraint means that mechanism.


            Implementation Procedures by Commercial Tool

            🧑‍🎓

            There are many different software packages, right? Tell me their characteristics!


            Tool NameDeveloper/CurrentMain File Format
            Ansys FluentANSYS Inc..cas, .dat, .msh, .jou
            Simcenter STAR-CCM+Siemens Digital Industries Software.sim, .java, .csv
            COMSOL MultiphysicsCOMSOL AB.mph
            OpenFOAMOpen Source (OpenCFD/ESI, OpenFOAM Foundation)Dictionary files (blockMeshDict, etc.), .foam

            Ansys Fluent

            🧑‍🎓

            Now we're talking about Ansys Fluent. What's the story?


            🎓

            Fluent Inc. developed it. ANSYS acquired it in 2006. Unstructured grid-based general-purpose CFD solver.

            Current Owner: ANSYS Inc.



            Simcenter STAR-CCM+

            🧑‍🎓

            Now we're talking about Simcenter STAR. What's the story?


            🎓

            CD-adapco developed it. Siemens acquired it in 2016 and integrated it into the Simcenter brand. Polyhedral meshing is its characteristic feature.

            Current Owner: Siemens Digital Industries Software


            🧑‍🎓

            Your explanations are clear! The tool names are no longer confusing.


            Common Failures and Countermeasures

            🧑‍🎓

            What are rookie mistake patterns? I want to know in advance!


            SymptomCauseSolution
            Analysis won't convergePoor mesh quality, inappropriate boundary conditionsImprove mesh, review constraints
            Stress abnormally largeStress singularity, mesh dependenceAvoid singularity, local mesh refinement
            Displacement unrealisticMaterial constant error, unit system inconsistencyVerify input data
            Computation time excessiveUnnecessary refinement, inefficient solverOptimize mesh, parallel computing

            Quality Assurance Checklist

            🧑‍🎓

            Are there "tricks of the trade" that aren't covered in textbooks?


            🎓
            • Verify mesh convergence at 3+ density levels
            • Validate force balance (sum of reaction forces)
            • Check results are in physically reasonable range
            • Compare with analytical solutions, benchmark problems, or known data



            • 🎓

              Yes, you're on the right track! Actually getting hands-on is the best learning. Ask anytime you're unsure.


              Coffee Break Trivia Corner

              Building Performance Design—How Fire CFD Changed Fire Safety Code

              In Japan, the 2000 major revision of the Building Standard Law approved "performance-based design." Before that, it was prescription-based: "Install sprinklers at ○m intervals." But performance design allows free design if fire CFD simulation (like FDS) demonstrates evacuation safety. For example, large-span atrium shopping centers and airport terminals can skip full sprinkler coverage in favor of "smoke evacuation simulation" to calculate evacuation time and optimize required smoke exhaust and vent positioning. Fire CFD is no longer just academic—it's embedded in actual building design practice.

              Fire Thermal Fluid Fire Thermal Fluid: Software & Solver Comparison

              Commercial Tool Comparison

              🧑‍🎓

              There are many different software, right? Tell me their characteristics!


              🎓

              I'll detail the feature comparison of major commercial CAE tools supporting fire thermal fluid simulation, and the historical background of each product.


              🧑‍🎓

              Wow, fire thermal fluid simulation is so interesting! Tell me more.


              Supported Tools List

              🧑‍🎓

              So what software can be used for fire thermal fluid simulation?


              Tool NameDeveloper/CurrentMain File Format
              Ansys FluentANSYS Inc..cas, .dat, .msh, .jou
              Simcenter STAR-CCM+Siemens Digital Industries Software.sim, .java, .csv
              COMSOL MultiphysicsCOMSOL AB.mph
              OpenFOAMOpen Source (OpenCFD/ESI, OpenFOAM Foundation)Dictionary files (blockMeshDict, etc.), .foam

              Ansys Fluent

              🧑‍🎓

              Now we're talking about Ansys Fluent. What's the story?


              🎓

              Fluent Inc. developed it. ANSYS acquired it in 2006. Unstructured grid-based general-purpose CFD solver.

              Current Owner: ANSYS Inc.



              Simcenter STAR-CCM+

              🧑‍🎓

              Now we're talking about Simcenter STAR. What's the story?


              🎓

              CD-adapco developed it. Siemens acquired it in 2016 and integrated it into the Simcenter brand. Polyhedral meshing is its characteristic feature.

              Current Owner: Siemens Digital Industries Software


              🧑‍🎓

              Now I finally understand why the development history is important!



              COMSOL Multiphysics

              🧑‍🎓

              Tell me about "COMSOL Multiphysics"!


              🎓

              Founded in Sweden in 1986. Started as FEMLAB with MATLAB integration, later renamed to COMSOL. Strong in multiphysics.

              Current Owner: COMSOL AB



              OpenFOAM

              🧑‍🎓

              What exactly is OpenFOAM?


              🎓

              Open-source CFD from Imperial College London. OpenCFD Ltd (ESI Group subsidiary) and The OpenFOAM Foundation develop in parallel.

              Current Owner: Open Source (OpenCFD/ESI, OpenFOAM Foundation)


              🧑‍🎓

              Ah, I see! Development works that way.


              Feature Comparison Matrix

              🧑‍🎓

              With limited budget and time, which is the best value?


              FeatureFluentSTAR-CCM+COMSOLOpenFOAM
              Basic Features
              Advanced Features
              Automation/Scripting
              Parallel Computing
              GPU Support

              Conversion Risks

              🧑‍🎓

              What exactly are conversion risks?


              🎓
              • Element Type Incompatibility: Solver-specific elements cannot be represented in neutral formats
              • Material Model Differences: Same names may have different internal implementations
              • Boundary Condition Redefinition: Manual resetting usually required
              • Result Data Comparison: Differences in output variable definition (nodal vs. element values, integration point values)

              • 🧑‍🎓

                Ah, I see! Model conversion between different tools works that way.


                License Models

                🧑‍🎓

                I've heard "license model," but I'm not sure I fully understand it...


                ToolLicenseCharacteristics
                Commercial FEANode-Locked/FloatingExpensive but with official support
                OpenFOAMGPLFree but paid support only
                COMSOLNode-Locked/FloatingPurchase by module
                Code_AsterGPLEDF-developed open-source solver

                Selection Guidelines

                🧑‍🎓

                Which one should I choose in the end? Give me selection criteria.


                🎓

                For fire thermal fluid simulation tool selection, consider:


                🎓
                • Analysis Scale: Scalability to tens of millions to billions of DOF
                • Physics Models: Support of required constitutive laws and element types
                • Workflow: CAD integration, ease of automation
                • Cost: Initial investment + annual maintenance + training
                • Support: Technical support quality and response time



                • 🎓

                  Yes, you're on the right track! Actually getting hands-on is the best learning. Ask anytime you're unsure.


                  Coffee Break Trivia Corner

                  Why Use Commercial Tools When FDS Is Free?

                  NIST's FDS (Fire Dynamics Simulator) is free open-domain software and the de facto standard for fire CFD. Yet commercial wrapper tools like Pyrosim (Thunderhead Engineering) and OFi (OpenFire by TNO) are widely used in construction/fire safety consulting because of "GUI and automated report generation." Performance-based design submissions to authorities require documentation of analysis conditions, mesh, boundary condition rationale—commercial tools greatly streamline this documentation. Technical capability and regulatory compliance documentation are evaluated together in this industry's unique selection criteria.

                  Fire Thermal Fluid Advanced Research

                  Advanced Topics and Research Trends

                  🧑‍🎓

                  Where is fire thermal fluid simulation heading as a field?


                  🎓

                  Let's look at the latest research trends and advanced methods in fire thermal fluid simulation.


                  🧑‍🎓

                  Wow, fire thermal fluid simulation is so interesting! Tell me more.


                  Latest Numerical Methods

                  🧑‍🎓

                  Now we're talking about latest numerical methods. What's the story?



                  🧑‍🎓

                  Equations alone don't really help... What do they represent?


                  🎓
                  • Isogeometric Analysis (IGA): Directly use CAD NURBS basis functions, achieving seamless CAD-CAE integration
                  • Meshfree Methods (SPH, MPM): Track large deformation and fracture without mesh
                  • Phase-Field Method: Implicit interface representation enabling complex interface tracking
                  • Machine Learning Support: Surrogate models, Physics-Informed Neural Networks (PINN)


                  • High Performance Computing (HPC) Support


                    Parallelization MethodOverviewApplicable Solvers
                    MPI (Domain Decomposition)Distributed memory. Standard for large-scale problemsAll major solvers
                    OpenMPShared memory. Multi-threaded within nodeMany solvers
                    GPU (CUDA/OpenCL)GPGPU utilization. Effective especially for explicit methodsLS-DYNA, Fluent, etc.
                    Hybrid MPI+OpenMPInter-node + intra-node parallelismHPC environments

                    Fire Thermal Fluid Fire Thermal Fluid: Common Issues & Debugging

                    Troubleshooting



                    🧑‍🎓

                    Wow, fire thermal fluid simulation is so interesting! Tell me more.


                    Common Errors and Countermeasures

                    🧑‍🎓

                    Professor, have you ever done all-nighters debugging fire thermal fluid simulation? (laughs)



                    1. Convergence Failure

                    🧑‍🎓

                    What exactly is convergence failure?


                    🎓

                    Symptom: Solver fails to converge within specified iterations and terminates abnormally


                    🎓

                    Possible Causes:

                    • Insufficient mesh quality (excessively distorted elements)
                    • Improper material parameter settings
                    • Inappropriate initial conditions
                    • Nonlinearity too strong (insufficient load steps)

                    🎓

                    Solutions:

                    • Perform mesh quality check (aspect ratio, Jacobian)
                    • Verify material parameter units
                    • Subdivide load into multiple steps (increase substep count)
                    • Relax convergence criteria (but watch accuracy)

                    🧑‍🎓

                    Skimping on convergence failure will hurt me later. I'll remember that.



                    2. Non-Physical Results

                    🧑‍🎓

                    Now we're talking about non-physical results. What's the story?


                    🎓

                    Symptom: Stress/displacement/temperature etc. show unrealistic values


                    🎓

                    Possible Causes:

                    • Boundary condition error
                    • Unit system mixing (SI vs. engineering units)
                    • Inappropriate element type selection
                    • Stress singularity presence

                    🎓

                    Solutions:

                    • Verify reaction force sum (force balance)
                    • Verify unit system consistency
                    • Reconsider element type appropriateness
                    • Remove singularity or apply submodeling

                    🧑‍🎓

                    Now I understand what my senior meant by "handle convergence failure properly."




                    3. Excessive Computation Time

                    🧑‍🎓

                    What exactly is excessive computation time?


                    🎓

                    Symptom: Computation takes many times longer than expected


                    🎓

                    Solutions:

                    • Optimize mesh coarse/fine distribution
                    • Exploit symmetry (1/2, 1/4 models)
                    • Optimize solver settings (iterative method, preconditioner selection)
                    • Leverage parallel computing



                    4. Out of Memory

                    🧑‍🎓

                    Tell me about "Out of Memory"!


                    🎓

                    Symptom: Out of Memory error


                    🧑‍🎓

                    Now I understand what my senior meant by "handle convergence failure properly."


                    🎓

                    Solutions:

                    • Use out-of-core solver
                    • Reduce mesh size
                    • Verify 64-bit solver version
                    • Increase memory allocation

                    🧑‍🎓

                    Wow, convergence failure is so interesting! Tell me more.


                    Nastran Typical Errors

                    🧑‍🎓

                    What exactly are typical errors?


                    🎓
                    • FATAL 2012: Singular stiffness matrix → Review constraints
                    • USER WARNING 5291: Element quality poor → Fix mesh
                    • SYSTEM FATAL 3008: Out of memory → Adjust MEM setting


                    • Abaqus Typical Errors

                      🧑‍🎓

                      Tell me about "typical errors"!


                      🎓
                      • Excessive distortion: Element over-deformation → Check NLGEOM, improve mesh
                      • Zero pivot: Insufficient constraints → Add boundary conditions
                      • Time increment too small: Convergence failure → Review step settings

                      • 🧑‍🎓

                        So if we get the tool setup right, we're mostly OK?


                        "When Analysis Doesn't Match Expectations"

                        1. Take a deep breath first—panicking and randomly changing settings makes things worse
                        2. Create minimal reproducer—reproduce the problem in simplest form. "Subtraction debugging" is most efficient
                        3. Change one thing at a time—simultaneous changes obscure what worked. Follow "control experiment" principle from science
                        4. Return to physics—if results show "objects floating against gravity," that's non-physical, suggesting fundamental input errors
                        Related Simulators

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                        Simulator List

                        Related Fields

                        Structural AnalysisElectromagnetic AnalysisThermal Analysis
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