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aerospace@aerothermalsolutions.co

Services / Icing and aircraft systems

Engineering analysis and simulation of ice accretion, testing and certification

ATS is an engineering company: we plan and run the icing analyses and tests for your aircraft, and issue the certification documents, ready for you to review and submit to the authorities. We use validated simulation to find where supercooled droplets impinge, what ice forms and how it affects flight.

Led by Dr. Guilherme A. Lima da Silva: ten years at Embraer (1997 to 2007) designing and certifying anti-ice for wings and air data probes, with tests in the NASA icing tunnel, then icing projects for industry at ATS, including ice-accretion substantiation and certification-support analyses for Akaer's STC with Turkish Aerospace. He designed the first icing tunnel in Brazil (UFRJ) and is the ATS liaison to the SAE AC-9C committee.

Flow and droplets from the left. Ice in blue.
Icing envelope (FAR 25 Appendix C, MVD 20 µm)

Main assumptions

  • Integral boundary layer with abrupt transition by the Makkonen (1985) criterion, LEWICE 3.2 roughness and rough-wall Stanton number; full first law in each control volume, with water conserved and running back until it freezes; one growth step.
  • 1 m NACA 0012 at 4° angle of attack, 10,000 ft, 20 µm MVD (Wright distribution), 2D flow, ice at 917 kg/m³.
  • FAR 25 Appendix C LWC as tabulated by Jeck (2002), corrected for the distance flown in cloud.

Simplified illustrative model, not a simulation or test result. Against NASA IRT icing tunnel data (Shin and Bond), the mean shape error is 0.36 % of chord with one step (0.33 % with two), close to LEWINT 1.04 (LEWICE 3.22) at 0.31 %. References: Shin & Bond, NASA TM-105374, 1992 (IRT test); Silva, Barros, Pio, Rafael, Stefanini & Pimenta, Handbook of In-Flight Icing, Springer, 2023; Stefanini, MSc dissertation Poli-USP, 2009; Smith & Spalding, J. R. Aeronaut. Soc., 1958; Ruff & Berkowitz, LEWICE, NASA CR-185129, 1990; Jeck, DOT/FAA/AR-00/30, 2002 (FAR 25 App. C); Neves et al., J. Aircraft, 2026.

Want to run the model or check the validation? The Python code for the model and for the NASA test comparison is sent by e-mail.

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Parameters and solved variables

Fixed parameters

Chord / leading-edge radius
1 m / 1.58 % c
Angle of attack
4°
Droplets
MVD 20 µm, Wright distribution (LEWICE)
Pressure altitude
10,000 ft (69.7 kPa)
Transition
abrupt, Rek ≥ 600·exp(−0.9λ) (Makkonen)
Roughness
ks = ½(0.15 + 0.3/Nf,stag) mm (LEWICE)
Ice density
917 kg/m³

Solved variables

Distance flown in cloud
—
Extent factor F (Jeck)
—
Envelope LWC × F
—
Total temperature (stagnation recovery)
—
Stagnation h (Smith and Spalding)
—
Water catch at stagnation
—
Stagnation freezing fraction
—
Equivalent roughness ks
—
Transition onset, upper / lower surface
—
Stagnation thickness
—
Upper horn (height, position)
—
How it is calculated

1D model of the kind used in the classic codes (LEWICE, ONERA, TRAJICE). Panel-method potential flow on a 1 m NACA 0012 at 4°; collection efficiency β from droplet trajectories with 20 µm MVD and the Wright distribution used in LEWICE (precomputed for 100 to 250 KTAS). Integral boundary layer from stagnation: laminar h after Smith and Spalding (1958), with ue = C·s at stagnation; Pohlhausen laminar profile; abrupt transition when the roughness Reynolds number, with the velocity at height ks, exceeds 600·exp(−0.9λ), with λ = δ₁²(due/ds)/ν (Makkonen, 1985, pressure-gradient correction); rough turbulent after Kays and Crawford, with the momentum thickness starting from the laminar value at transition and roughness Stanton number C = 1.92 (LEWICE). LEWICE 3.2 equivalent roughness, ks = ½(0.15 + 0.3/Nf,stag) mm, iterated with the stagnation freezing fraction. First law in each control volume, marching the water from stagnation: convection with the recovery temperature, evaporation with the boundary-layer edge pressure and temperature, droplet sensible heat and kinetic energy, runback sensible heat (carrying each volume's temperature to the next), conduction into the ice, latent heat; the surface temperature is solved in rime (below 0 °C) and on wet surfaces (above 0 °C). Water is conserved volume by volume: it only stops when it freezes; the film on the ice follows the air shear, the pressure gradient and the droplet momentum. One growth step, without recomputing the flow over the ice. FAR 25 Appendix C LWC for 20 µm MVD as tabulated by Jeck (DOT/FAA/AR-00/30, 2002): Table 2 for the continuous maximum (17.4 nmi) and Table 1 for the intermittent maximum (2.6 nmi), linear in temperature; in the continuous maximum LWC is multiplied by the extent factor F from Table 2 (1.34 at 5 nmi to 0.215 at 300 nmi, interpolated on the log of distance); in the intermittent maximum the exposure is the time to cross 2.6 nmi. Ice density 917 kg/m³, as in LEWICE. For design ice shapes we use CFD++, LEWICE or iceAccretionFoam and icing tunnel tests.

Comparison with test data (NASA IRT) and with LEWINTIce shapes on a NACA 0012 measured in the NASA IRT icing tunnel (Shin and Bond, 1992) compared with the ATS model and with LEWINT 1.04 (LEWICE 3.22)Cp, collection efficiency β and heat transfer coefficient h on the clean surface: ATS model versus LEWINT 1.04

ATS model with the same equations as the applet and two growth steps (the second recomputes flow, trajectories, boundary layer and balance over the iced shape), at the Shin and Bond conditions (NASA TM-105374, 1992): 0.533 m NACA 0012, α = 4°, MVD 20 µm, 2000 ft (IRT test section), 150 mph with LWC 1.0 g/m³ for 6 min and 230 mph with 0.55 g/m³ for 7 min, total temperature from 28 °F to −15 °F. Red: outer contour of the repeat test runs, digitized from Figures 6 and 7 of the report; dashed purple: LEWINT 1.04 (LEWICE 3.22, ATS licence) at the same conditions, with automatic time steps. Mean shape error (mean distance between the curves over the iced region): ATS model 0.33 % of chord, LEWINT 0.31 %; with one step, as in the applet, 0.36 %. The second figure compares Cp, β and h on the clean surface with LEWINT: Cp and β one panel per speed, since they depend on airspeed, MVD, angle of attack and chord; h for the warmest and coldest cases at each speed. Both codes err more near 0 °C, where the freezing fraction depends strongly on h and the scatter between repeat test runs is also larger.

Icing track record

  • ProjectAkaer, ASOJ TA, 2020 to 2024: Turkish Aerospace STC, ice-accretion substantiation and certification-support analysesATS performed the analyses, with simulation, in partnership with Akaer. Icing on new antennas, radomes and STC devices, and engine ice ingestion.
  • IndustryEmbraer, 1997 to 2007: anti-ice design and certification for the wing and for pitot, TAT, static port and smart probesSlat and wing thermal anti-ice with LEWICE and the NASA icing tunnel. Smart probes certified with CFD++, ahead of TSO-C16b. The foundation of ATS's icing engineering practice.
  • ProjectIcing projects for Vertical (2025), Joby (2023–24), New Avionics (2017, drone ice detector), Collins Aerospace (2012), Droplet Measurement Technologies (LWC probe), Desaer (twin turboprop) and Zodiac Aerotechnic (ice detector)Client details and scope on request.
  • ResearchThree impingement cases with CFD++ at the 1st AIAA Ice Prediction WorkshopTail, three-element airfoil and engine nacelle, with good results on supercooled large droplets.
  • Certification and standardsPresented at SAE AC-9C in 2010, 2018, 2024 and 2025Portland, Colorado Springs, Ottawa and Capua. Dr. Lima da Silva is the ATS liaison to the committee.
  • iceAccretionFoamOur 3D solver iceAccretionFoam: two Phil. Trans. R. Soc. A papers (2025) and FAPESP PIPE grant 2025/19697-9Developed with Prof. Hrvoje Jasak, University of Cambridge. This is product development, separate from the project experience above.

Flagship project: an STC for Turkish Aerospace

Akaer, ASOJ TA, 2020 to 2024. A long-term program: a Supplemental Type Certificate (STC) of Turkish Aerospace, with Akaer, for a surveillance aircraft modified with new surfaces. ATS performed the ice-accretion and ice-protection substantiation and certification-support analyses, with simulation, over the four years.

Project 2020 to 2024

What ATS was responsible for

Substantiation and certification-support analyses, with simulation, for a surveillance aircraft based on the Bombardier Global 6000. The STC and certification were held by Turkish Aerospace (TA), in Turkey, with Akaer; ATS's role was the icing engineering analyses. The program ran for four years.

Icing work

Ice accretion on the new air inlets, radomes, radar and additional STC devices. Ice shedding and ingestion by the engines. Comparison with the baseline aircraft for the additional ice. Ice protection system development and simulation with FENSAP-ICE, as the customer required.

Beyond icing

Redesign of the environmental control system for the surveillance variant under 14 CFR Part 25, a new liquid supplemental cooling system for the radar and other equipment, and laboratory, ground and flight tests. ATS's analyses fed into the certification reports.

Need only a part? We define the scope with you.

“Their work has been suitable for both development and certification.”

American Kestrel Company, on the organizations it lists for 3D icing analysis, ATS among them. Its founder, David Parkins, is an FAA Designated Engineering Representative for icing certification and a past chairman of the SAE AC-9C subcommittee. See the listing

What you receive

ATS issues the certification reports, whether they come from analysis results or from tests, and also the system description, the safety assessment, the certification plan or any other certification document. You review them and submit them to the authorities. This is our differentiator.

Collection efficiency and impingement limits

Where water hits, how much, and how far aft, for each droplet size (MVD) and liquid water content (LWC). Use it to size protected areas and to choose test points.

Rime and glaze ice shapes

2D and 3D shapes on unprotected surfaces across the FAR 25 Appendix C envelopes, with the critical points found for your aircraft.

Aerodynamic and system impact

Ice shapes handed to CFD to estimate lift, drag and handling penalties, with checks for engine ingestion, propellers and sensor blockage.

A report an authority can follow

Assumptions, mesh and convergence evidence, comparison with reference data, and traceability to the standards (SAE, MIL, ASTM) and to the test points.

Conditions come from your aircraft

FAR 25 Appendix C rests on NACA research from the 1940s and 1950s, and Appendix O adds large droplets, ice crystals, mixed conditions and freezing rain. We map both onto your flight envelope.

An icing matrix built from the mission

We analyze every flight phase, including holding, and the time spent in each one. Duration matters because ice keeps growing.

Critical points, not a generic grid

For each airspeed we find where the recovery temperature reaches 0 °C inside the envelope. That crossing gives the largest ice mass, in glaze. Light and heavy aircraft are both checked.

Impingement limits from flight dynamics

A JSBSim flight model gives the angle-of-attack range at each calibrated airspeed while weight and centre of gravity vary, so the droplet limits cover the real envelope.

Where the model comes from, and how it evolved

From the PhD at Poli-USP to iceAccretionFoam, with the papers behind each step.

The accretion model couples the flow, the droplet trajectories, the boundary layer and the mass and energy balance on the surface. It was born at Embraer and Poli-USP and is still being developed at ATS.

  1. 2003–2009
    Research
    Poli-USP, supported by Embraer and FAPESP: anti-ice model with continuous film and rivulets (runback).

    Validated against the Al-Khalil et al. (2001) test and NASA ANTICE. MSc (2003) and PhD: thesis at Poli-USP.

  2. 2007–2010
    Research
    Laminar-turbulent transition and intermittency in heat transfer and ice shape.

    Stefanini, Silvares, Silva and Zerbini (COBEM 2007; AIAA 2008-474). See Publications.

  3. 2008–2009
    Research
    Cal State Long Beach: Cebeci compressible differential boundary layer integrated into the code.

    Silva, Silvares, Zerbini, Hefazi, Chen and Kaups, AIAA, 2009.

  4. 2010–today
    Project
    Pitot probes: heat load and test envelope models, from spreadsheet to Python.

    Presented at SAE AC-9C (Portland, 2010) and used in eVTOL programs and probe certification.

  5. 2011
    Research
    Wall functions for heat transfer on rough surfaces.

    Silva, Arima, Branco and Pimenta, SAE 2011-38-0023.

  6. Projects
    Project
    Electrothermal anti-ice code to define the power distribution in probes.

    LWC probe: CFD for Cp and impingement, optimum electric power distribution and icing tunnel validation.

  7. 2023
    iceAccretionFoam
    Start of the collaboration with Prof. Hrvoje Jasak.

    Starting point of iceAccretionFoam, our own 3D solver (NUMAP-FOAM Summer School 2023).

  8. 2024
    iceAccretionFoam
    First iceAccretionFoam paper and glaze ice at SAE AC-9C.

    Teixeira da Silva et al., ICAS 2024-1112, Florence; SAE AC-9C, Ottawa.

  9. 2025
    iceAccretionFoam
    Two papers in Philosophical Transactions of the Royal Society A, with Prof. Jasak.

    Impingement and rime ice and glaze ice; presentation at SAE AC-9C, CIRA, Capua.

  10. 2026
    iceAccretionFoam
    FAPESP PIPE 2025/19697-9 and the ATS accretion model in the site applets.

    Phase 1 (July 2026 to February 2027): 2D beta, rime and glaze; Phase 2: 3D MVP with thermal anti-ice and de-ice (FAPESP, post). The ATS accretion model in Python, checked against LEWINT and the NASA test, runs the icing applets on the site.

Four tools, chosen case by case

CFD++ and iceAccretionFoam handle 3D. FENSAP-ICE and LewInt give independent references.

ToolWhat it does for your projectStatus
CFD++Metacomp3D compressible flow, droplet impingement and rime ice on full aircraft geometries, used in our client projects. ATS is the exclusive distributor in Brazil.In production use
iceAccretionFoamATS, foam-extend 5.0One 3D solver for flow, droplets, water film and ice growth. Ice grows without re-meshing. Water follows the surface shear lines on swept wings. Cp, β and 2D rime are validated, 2D glaze is in validation, and 3D and SLD follow in 2027/28.In validation
FENSAP-ICEAnsysOur engineers run it on a licence you provide, as on the Akaer STC where the customer required it, and compare it with our other tools when a cross-check helps the report.Client-supplied licence
LEWINT (LEWICE)NASA, American KestrelFast ice shapes and thermal runs from NASA’s LEWICE, with the LewInt interface for batch runs and automated plots. LewInt is the international version of LEWICE 2D, and ATS holds a licence. We used it for the Vertical eVTOL ice shapes.Licensed

Using more than one code is deliberate. The codes differ in physics and in how well regulators know them, and agreement between them is evidence for your report. NASA Spinoff describes how LewInt extends LEWICE.

Evidence you can check

Project work first, then results shown at community workshops, then the validation of our own solver.

Project work

Client projects: Vertical (2025), Joby (2023–24), New Avionics (2017, drone ice detector), Collins Aerospace (2012), Droplet Measurement Technologies (LWC probe), Desaer (twin turboprop) and Zodiac Aerotechnic (ice detector). Client details and scope on request. Cases we can show follow.

Community workshop: 1st AIAA Ice Prediction Workshop

Three impingement cases run with CFD++, with good results on supercooled large droplets.

iceAccretionFoam validation ladder

This is our own solver, in development, and it is separate from the project work above. Each step is compared with published experimental data before the next one starts. Rime shapes on the NACA 0012 agree with NASA measurements. For glaze the code reproduces the behavior, and the upper horn is still smaller than measured while thermal freezing fraction and convective heat transfer with transition are added in 2026.

  1. Cp and βDone
  2. 2D rime iceDone
  3. 2D glaze iceIn progress

Reference cases: NACA 0012 at 100 mph, Cp against Emmons (1948) and XFoil, β against Al-Khalil et al. (2001, NASA), rime and glaze shapes against Shin and Bond (NASA) and LEWICE.

Examples

Select an image to see each example.

Collection efficiency and local liquid water content on a quadrotor drone with rotating propellers
1 / 12

Drone

New Avionics drone project: collection efficiency β (left) and local liquid water content (right) on a quadrotor with rotating propellers during vertical take-off. CFD++, presented at SAE AC-9C, Colorado Springs, 2018.

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Where the experience comes from

Ten years of anti-ice design and certification at Embraer, then client projects at ATS, together with research and the development of our own solver.

Industry Embraer, 1997 to 2007Project ATS client and facility projectsResearch Papers, workshops and committeesiceAccretionFoam Development of our own 3D solver

Programs we support

Sensor and probe suppliers

Pitot, TAT, angle-of-attack vanes and smart probes, where rules such as TSO-C16b call SAE AS5562.

Modifications and STCs

New probes, antennas, radomes or propulsion installed on aircraft that are already certified. We compare each change with the baseline aircraft and check ice ingestion by the engines.

Drones, eVTOL and electric aircraft

Rotors and small airframes with no representative 2D section, often without a conventional ice protection system.

Suppliers that offer a bigger package

Akaer and Droplet Measurement Technologies use ATS to complement their expertise and deliver a complete package to their final customer, under that customer’s statement of work.

Peak workload support

Engineering groups that already have icing expertise, such as Embraer, use ATS to absorb peaks of work.

Programs under FAA, EASA and ANAC

Wings, tails, inlets, propellers and windshields for FAR/CS 23 and 25 programs that need icing evidence. ATS meets FAA specialists regularly, with dedicated meetings to present issues and solutions using CFD and ice shape simulations, and is in frequent contact with ANAC, CAA and Transport Canada.

How an engagement runs

The same steps apply to a probe, a wing or an eVTOL rotor. Ice protection system design follows as its own service.

  1. Mission and performance

    Mission profile, weights, speeds and altitudes. Angle-of-attack ranges from flight dynamics.

  2. Icing matrix and impingement

    Critical points in the Appendix C and O envelopes. 3D flow, droplet paths and impingement limits.

  3. Baseline ice shapes

    Rime and glaze ice shapes on the unprotected surface, at the critical points and for the escape conditions.

  4. Safety assessment: aerodynamic effects

    Aerodynamic degradation, lift margins, and the drag and weight increase caused by ice, rating ice criticality from minor to catastrophic (FHA). This assessment decides whether the aircraft needs an ice protection system, and is written up as a certification report.

  5. Safety assessment: engine ice ingestion

    Hazard analysis for ice shed from protected and unprotected surfaces into the engines, written up as a certification report.

  6. Certification report and test plan

    Numerical model description, validation and ice shape results, written in certification format and ready for submission to the authorities, plus a reduced set of tunnel and flight test points verified with artificial ice shapes mounted on the wings and other surfaces. All under NDA.

No certification is reached without numerical tools.

Dr. Guilherme A. Lima da Silva, The Icing Engineering Process

Questions engineers ask before they hire us

What is aircraft ice accretion analysis?

It is the calculation of where supercooled water droplets hit an aircraft surface, how much water is collected, how it freezes and what shape the ice takes. Accretion is transient: it runs in cycles of build-up and shedding or melting, not a single steady shape. The results support aerodynamic degradation studies, ice protection system sizing and test planning, and we write the certification reports.

Can simulation replace icing wind tunnel or flight tests?

No. Tests validate the numerical tools and check operating points that need a realistic answer. Simulation reduces the number of test points, supports envelope coverage and failure cases, and lowers the total cost of a design and certification campaign. Once validated against icing tunnel and flight data, the tools can also cover atmospheric icing conditions that were not tested, rare conditions and the edges of the envelope.

Which tools does ATS use for icing analysis?

CFD++ for 3D flow, droplet impingement and rime ice; iceAccretionFoam, our own 3D solver built on foam-extend; FENSAP-ICE on a licence supplied by the client; and LEWICE with the LewInt interface under our own licence. We choose per case and compare codes when a cross-check helps the report.

Do you cover supercooled large droplets and FAR 25 Appendix O?

Impingement with supercooled large droplets was part of our CFD++ work at the 1st AIAA Ice Prediction Workshop. In iceAccretionFoam, droplet breakup and splashing are planned for Phase 2 of the FAPESP PIPE project. For an Appendix O study today we scope the tool and the validation evidence with you before the work starts.

Why solve ice in 3D instead of 2D cuts?

On swept wings, probes, antennas, radomes, inlets and rotors, the water runs along surface shear lines that do not follow 2D cuts. Quasi-3D methods lose accuracy there, mainly for glaze ice. A full 3D solver follows the water along the real surface.

Is our geometry and data kept confidential?

Yes. We work under NDA. iceAccretionFoam is licensed under the GNU GPL v3, which applies only when a copy of the program is delivered. In consultancy and in the planned SaaS you receive results and reports, not the program, so your geometry, data and results stay protected.

Can you run FENSAP-ICE on our licence?

Yes. Our engineers run FENSAP-ICE on a licence you provide and can compare it with our other tools on the same case.

Can you analyze the icing impact of an STC modification?

Yes. We compute ice accretion on the new surfaces, such as antennas, radomes and added devices, compare it with the baseline aircraft to quantify the additional ice, and analyze how that ice can be ingested by the engines. We did this as part of an STC of Turkish Aerospace (TA), in partnership with Akaer, from 2020 to 2024; ATS performed the ice-accretion substantiation and certification-support analyses.

Tell us about the aircraft and the certification stage

We reply with a scope, the tools we would use and the evidence you can expect.

Emailaerospace@aerothermalsolutions.co
Phone+55 11 3854-4224
OfficeAv. Pompéia, 634, cj. 107, São Paulo, SP, Brazil.

Send the aircraft or component, the certification stage and the question you need answered. An ATS engineer replies. We work under NDA.