A New Incompressible Smoothed Particle Hydrodynamics-Immersed Boundary Method
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@Article{IJNAMB-3-126,
author = {RODRIGUE KÉOU NOUTCHEUWA AND ROBERT G. OWENS},
title = { A New Incompressible Smoothed Particle Hydrodynamics-Immersed Boundary Method},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2012},
volume = {3},
number = {2},
pages = {126--167},
abstract = {In this article we develop a new smoothed particle hydrodynamics (SPH) method suitable for solving the incompressible Navier-Stokes equations, even with singular forces. Singular
source terms are handled in a manner similar to that in the immersed boundary (IB) method of
Peskin (2002). The numerical scheme implements a second-order pressure-free projection method
due to Kim and Moin (1985) and completely obviates the difficulties that may be faced in prescribing
Neumann pressure boundary conditions. The proposed SPH method is first tested on the
planar start-up Poiseuille problem and a detailed error analysis is performed. For this problem,
the results are similar whether the SPH particles are free to move or fixed on a regular grid. Our
hybrid SPH-IB method is then used to calculate the dynamics of a stretched immersed elastic
membrane and the advantages in this case of fixing the SPH particles, rather than allowing them
to move with the fluid, are discussed.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/275.html}
}
TY - JOUR
T1 - A New Incompressible Smoothed Particle Hydrodynamics-Immersed Boundary Method
AU - RODRIGUE KÉOU NOUTCHEUWA AND ROBERT G. OWENS
JO - International Journal of Numerical Analysis Modeling Series B
VL - 2
SP - 126
EP - 167
PY - 2012
DA - 2012/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/275.html
KW - Smoothed particle hydrodynamics
KW - incompressible flow
KW - projection method
KW - singular force
KW - immersed boundary
AB - In this article we develop a new smoothed particle hydrodynamics (SPH) method suitable for solving the incompressible Navier-Stokes equations, even with singular forces. Singular
source terms are handled in a manner similar to that in the immersed boundary (IB) method of
Peskin (2002). The numerical scheme implements a second-order pressure-free projection method
due to Kim and Moin (1985) and completely obviates the difficulties that may be faced in prescribing
Neumann pressure boundary conditions. The proposed SPH method is first tested on the
planar start-up Poiseuille problem and a detailed error analysis is performed. For this problem,
the results are similar whether the SPH particles are free to move or fixed on a regular grid. Our
hybrid SPH-IB method is then used to calculate the dynamics of a stretched immersed elastic
membrane and the advantages in this case of fixing the SPH particles, rather than allowing them
to move with the fluid, are discussed.
RODRIGUE KÉOU NOUTCHEUWA AND ROBERT G. OWENS. (2012). A New Incompressible Smoothed Particle Hydrodynamics-Immersed Boundary Method.
International Journal of Numerical Analysis Modeling Series B. 3 (2).
126-167.
doi:
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