Recent Advances on a Stable Hybrid Finite Elements Methodology for Stokes Flow using H(div) Spaces

Autores

  • Carlos H. C. Puga
  • Nathan Shauer
  • Philippe R. B. Devloo

Resumo

The motion of an incompressible flow can be accurately described by the Navier-Stokes equations. When the viscous forces have a greater influence compared to the convective ones, eg: creeping flows, the governing equations can be simplified to the linear Stokes equations. Moreover, the flow is said to be in a steady state if the magnitude of the inertial forces is much smaller than the other terms, thus not varying its velocity in time. [...]

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Biografia do Autor

Carlos H. C. Puga

UNICAMP, Campinas, SP

Nathan Shauer

UNICAMP, Campinas, SP

Philippe R. B. Devloo

UNICAMP, Campinas, SP

Referências

Denise De Siqueira, Phillipe RB Devloo, and Sônia M Gomes. “A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces”. In: Journal of Computational and Applied Mathematics 240 (2013), pp. 204–214.

Pablo GS Carvalho, Philippe RB Devloo, and Sônia M Gomes. “On the use of divergence balanced H (div)-L2 pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes–Darcy and Brinkman problems”. In: Mathematics and Computers in Simulation 170 (2020), pp. 51–78.

Philippe RB Devloo, Jeferson WD Fernandes, Sônia M Gomes, Francisco T Orlandini, and Nathan Shauer. “An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences”. In: Computer Methods in Applied Mechanics and Engineering 402 (2022), p. 115476.

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Publicado

2023-12-18

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