Low- and high-order accurate boundary conditions: From Stokes to Darcy porous flow modeled with standard and improved Brinkman lattice Boltzmann schemes

@article{Silva2017LowAH,
  title={Low- and high-order accurate boundary conditions: From Stokes to Darcy porous flow modeled with standard and improved Brinkman lattice Boltzmann schemes},
  author={Goncalo Silva and Laurent Talon and Irina Ginzburg},
  journal={J. Comput. Physics},
  year={2017},
  volume={335},
  pages={50-83}
}
The present contribution focuses on the accuracy of reflection-type boundary conditions in the StokesBrinkman-Darcy modeling of porous flows solved with the lattice Boltzmann method (LBM), which we operate with the two-relaxation-time (TRT) collision and the Brinkman-force based scheme (BF), called BF-TRT scheme. In parallel, we compare it with the Stokes-Brinkman-Darcy linear finite element method (FEM) where the Dirichlet boundary conditions are enforced on grid vertices. In bulk, both BF-TRT… CONTINUE READING
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