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Modelling and simulation of flame cutting for steel plates with solid phases and melting

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Publication:1980985
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DOI10.1186/s13362-020-00086-0zbMath1473.80003OpenAlexW3037045290MaRDI QIDQ1980985

Thomas Petzold, Manuel J. Arenas, Pertti Mikkonen, Robert Lasarzik, Dietmar Hömberg

Publication date: 9 September 2021

Published in: Journal of Mathematics in Industry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13362-020-00086-0


zbMATH Keywords

heat equationfinite element methodphase transitionstransport equationflame cutting


Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)


Related Items (1)

Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness



Cites Work

  • An assessment of discretizations for convection-dominated convection-diffusion equations
  • On gas dynamic effects in the modelling of laser cutting processes


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