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Numerical Simulation

Home Tag Numerical Simulation
Trustworthiness in Simulation: Credibility or Decision-grade Reliability?

Trustworthiness in Simulation: Credibility or Decision-grade Reliability?

May 4, 2026

Compliance with ASME and NASA standards on verification, validation, and uncertainty quantification (VVUQ) is often taken as sufficient evidence that simulation results can be trusted. This is a mistake, however. Compliance alone does not answer the question that truly matters to decision-makers: Are the predictions reliable enough for the decision at hand?

Beyond the Black Box: Explainable AI Requires Explainable Simulation

Beyond the Black Box: Explainable AI Requires Explainable Simulation

Apr 7, 2026

AI is rapidly transforming engineering workflows. However, a fundamentally important issue rarely gets discussed: AI explanations are only as trustworthy as the simulations they rely on. This blog post explores the rigorous technical requirements that must be met to ensure that numerical simulations provide the transparent, machine-interpretable evidence that explainable AI demands.

Turtle Shells and Legacy Finite Element Codes: Evolutionary Constraints in the Age of Explainable AI

Turtle Shells and Legacy Finite Element Codes: Evolutionary Constraints in the Age of Explainable AI

Mar 18, 2026

This blog post explains why legacy finite element codes are like a turtle’s carapace: a protective structure that provided a survival advantage in the resource-scarce 1960s but now impedes the flexibility needed to meet the demands of explainable AI (XAI). The good news is that the technology required to support XAI already exists.

Remembering Ivo Babuška

Remembering Ivo Babuška

Mar 5, 2026

Dr. Szabo shares some memories of his friend, mentor, collaborator, and co‑founder of ESRD, Ivo Babuška, who would have turned 100 this month.

Honored in the Breach

Honored in the Breach

Feb 6, 2026

I am often asked to comment on how it is possible that, although everybody agrees simulation governance is a good idea, it is not being practiced — or, as Shakespeare would put it more elegantly, “more honour’d in the breach than the observance.” — The short answer is that changing minds and habits is hard.  A more detailed explanation follows.

“Bridging the Gap” Is Now Available on Amazon Books

“Bridging the Gap” Is Now Available on Amazon Books

Jan 22, 2026

Bridging the Gap is not just a book about numerical simulations, it’s a call to rethink how we understand them. While engineers run algorithms and mathematicians build them, a persistent divide between the two disciplines continues to limit the full potential of finite element analysis (FEA). Drawing on years of teaching and collaboration with industry professionals, the author exposes how vague terminology, entrenched assumptions, and stagnant modeling practices have created barriers to progress.

The Differences Between Calibration and Tuning

The Differences Between Calibration and Tuning

Jan 7, 2026

Anyone who relies on information generated through numerical simulation must know the difference between calibration and tuning, and understand the interactions between finite element modeling and finite element analysis. This blog post covers the main points.

Great Expectations: Agentic AI in Mechanical Engineering

Great Expectations: Agentic AI in Mechanical Engineering

Dec 11, 2025

Building an agentic system on top of legacy finite element modeling practices is like building a skyscraper on quicksand. Any team serious about reaching these capability levels must treat the soundness of numerical simulation as the highest priority, not an afterthought.

Where Do You Get the Courage to Sign the Blueprint?

Where Do You Get the Courage to Sign the Blueprint?

May 30, 2025

Mathematical models have become indispensable sources of information on which technical and business decisions are based. It is therefore vitally important for decision-makers to know whether relying on the predictions of mathematical models is justified. When properly used, numerical simulation can be a major corporate asset. However, it can become a major corporate liability if the reliability of predictions is not guaranteed. Learn more in our latest blog post.

Chaos in the Brickyard Revisited

Chaos in the Brickyard Revisited

Jan 15, 2025

In a letter published in Science in 1963, Bernard K. Forscher used the metaphor of building edifices to represent the construction of scientific models, also called laws. These models explain observed phenomena and make predictions beyond the observations made.
Building models consistent with the science of numerical simulation should never be confused with finite element modeling, an activity rooted in pre-1970s thinking. We should keep Forscher’s metaphor in mind when evaluating claims about the benefits AI integration is expected to bring to numerical simulation.

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  • Trustworthiness in Simulation: Credibility or Decision-grade Reliability?
  • Beyond the Black Box: Explainable AI Requires Explainable Simulation
  • Turtle Shells and Legacy Finite Element Codes: Evolutionary Constraints in the Age of Explainable AI

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  • “At DST Group, we have effectively used StressCheck over the last 10 years to determine accurate stress intensity factors. The results have been used to improve our residual strength and structural life estimates for aircraft in service with the Royal Australian Airforce, including C-130, P-3C and F/A-18 A/B. We have found it to be extremely easy to use and a very versatile code with which to create parametric models.

    We have recently used StressCheck to obtain improved stress intensity factor solutions (Improved stress intensity factors for selected configurations in cracked plates and Improved stress intensity factors for a single corner crack at a loaded fastener hole) for five key generic configurations. These transferable parametric results have been published externally. One specific example is the non-linear contact analysis of a cracked, filled fastener hole, with both fastener and remote plate loading.”

    Dr. Manfred Heller, Head
    Structural & Damage Mechanics, DST Group

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The software provides a highly reliable and user-friendly production stress analysis tool that will replace the Finite Element Method (FEM) tools and failure criteria the experts currently employ for analyzing bonded joints. The software includes an FEM-based handbook format, which allows non-experts to utilize models prepared by specialists. The handbook problems include built-in failure criteria, geometric and material nonlinearities, and the modern FEM technology provides better error control and the treatment of very large aspect ratios.”

Dr. Stephen P. Engelstad, Technical Fellow, Lockheed Martin Aeronautics Company, Structural Methods and Analysis

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