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February 21, 2026Fluid Dynamics0 citations

Description of a Method for Solving Simplified Thermodeformation Equations Using the Compact Polynomial Method Scheme

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VKV. V. KuzenovBauman Moscow State Technical UniversitySRS. V. RyzhkovBauman Moscow State Technical University

Key Points

  • The aim is to describe a novel numerical method for solving elliptic differential equations relevant to thermodeformation.
  • Developed a nonlinear compact polynomial computational scheme.
  • Utilized unstructured computational grids for the simulation.
  • Outlined a method for transitioning from elliptic to hyperbolic equations.
  • Initial testing showed promising results for the proposed computational method.
  • Examples indicate successful application on sample thermodeformation scenarios.

Abstract

The numerical method for solving elliptic differential equations (on unstructured computational grids), based on a nonlinear compact polynomial computational scheme and a method for approximate transition from elliptic-type equations to a system of hyperbolic equations is described. Some examples of initial testing of the proposed computational method are given.

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Cite This Study

Kuzenov et al. (2025) studied this question.

synapsesocial.com/papers/69994aab873532290d01f01dhttps://doi.org/10.1134/s0015462825603663
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