Published July 28, 2023 | Version v1
Journal article Open

On the efficiency and accuracy of a modified Newton-Raphson method for advection-diffusion coupled problems

  • 1. Dipartimento di Ingegneria Civile e Architettura, Universit`a di Pavia, Pavia, Italy
  • 2. Dipartimento di Architettura, Universit`a degli Studi Roma Tre, Roma, Italy
  • 3. Dipartimento di Ingegneria DICITA, Universit`a degli Studi Roma Tre, Roma, Italy

Description

The present work deals with the nonlinear multiphysics advection-diffusion problem where non-stationary Navier-Stokes equations for incompressible flows are coupled with heat transfer equations. This software employs a modified Newton-Raphson (mNR) scheme, based on a fully nonlinear formulation and employing standard Lagrange Finite Elements, implemented in C++ code using the open-source deal.II library.

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