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This chapter presents the generation and evaluation of Python code for simulating two-dimensional, unsteady heat conduction in rectangular domains with multiple holes using ChatGPT-4. The focus is on solving the Fourier heat conduction equation through the Forward Time Centered Space (FTCS) scheme, a finite difference method. The chapter begins with a detailed derivation of the algorithmic approach, transitioning from the governing partial differential equation to the discrete FTCS scheme for temperature updates. The accuracy and reliability of the generated code are rigorously tested, including a comparison with analytical solutions, demonstrating the effectiveness of AI-assisted coding in computational materials science and mechanics.

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Instationary Heat Conduction on Rectangular Domains with Arbitrary Circular Holes

  • 章节

  • 发表日期：

    2025年

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  • Aagashram Neelakandan,
  • Bernhard Eidel

摘要

This chapter presents the generation and evaluation of Python code for simulating two-dimensional, unsteady heat conduction in rectangular domains with multiple holes using ChatGPT-4. The focus is on solving the Fourier heat conduction equation through the Forward Time Centered Space (FTCS) scheme, a finite difference method. The chapter begins with a detailed derivation of the algorithmic approach, transitioning from the governing partial differential equation to the discrete FTCS scheme for temperature updates. The accuracy and reliability of the generated code are rigorously tested, including a comparison with analytical solutions, demonstrating the effectiveness of AI-assisted coding in computational materials science and mechanics.