Navier Stokes modeled with MFEM
Resumo
Finite Element methods can be used to model fluid dynamics problems using Navier Stokes equation in several different ways but we are interested in compare two approaches for a physical application. The challenge in using a complex geometry immersed in a fluid flow is how to construct a mesh that can be adapted near the object’s surface with possible irregular edges or cramped sides. [...]
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Referências
MFEM. Navier-Stokes Mini Application. 2023. url: https://mfem.org/fluids/ (visited on 03/31/2023).
D.A. Nield and A. Bejan. Convection in Porous Media. Springer New York, 2012. isbn:9781461455417. url: https://books.google.com.br/books?id=tG8sxSHrPEIC.
Kai Schneider. “Numerical simulation of the transient flow behaviour in chemical reactors using a penalisation method”. In: Computers and Fluids 34 (Dec. 2005), pp. 1223–1238. doi: 10.1016/j.compfluid.2004.09.006.
Philippe Angot. “Analysis of singular perturbations on the Brinkman problem for fictitious domain models of viscous flows”. In: Mathematical Methods in The Applied Sciences 22 (1999), pp. 1395–1412.
J. Happel and H. Brenner. Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media. Prentice-Hall international series in the physical and chemical engineering sciences. Prentice-Hall, 1965. isbn: 9789024728770. url: https://books.google.com.br/books?id=%5C_4MpAQAAMAAJ.
