TY - JOUR
T1 - A parallel sparse algorithm targeting arterial fluid mechanics computations
AU - Manguoglu, Murat
AU - Takizawa, Kenji
AU - Sameh, Ahmed H.
AU - Tezduyar, Tayfun E.
PY - 2011/9
Y1 - 2011/9
N2 - Iterative solution of large sparse nonsymmetric linear equation systems is one of the numerical challenges in arterial fluid-structure interaction computations. This is because the fluid mechanics parts of the fluid + structure block of the equation system that needs to be solved at every nonlinear iteration of each time step corresponds to incompressible flow, the computational domains include slender parts, and accurate wall shear stress calculations require boundary layer mesh refinement near the arterial walls. We propose a hybrid parallel sparse algorithm, domain-decomposing parallel solver (DDPS), to address this challenge. As the test case, we use a fluid mechanics equation system generated by starting with an arterial shape and flow field coming from an FSI computation and performing two time steps of fluid mechanics computation with a prescribed arterial shape change, also coming from the FSI computation. We show how the DDPS algorithm performs in solving the equation system and demonstrate the scalability of the algorithm.
AB - Iterative solution of large sparse nonsymmetric linear equation systems is one of the numerical challenges in arterial fluid-structure interaction computations. This is because the fluid mechanics parts of the fluid + structure block of the equation system that needs to be solved at every nonlinear iteration of each time step corresponds to incompressible flow, the computational domains include slender parts, and accurate wall shear stress calculations require boundary layer mesh refinement near the arterial walls. We propose a hybrid parallel sparse algorithm, domain-decomposing parallel solver (DDPS), to address this challenge. As the test case, we use a fluid mechanics equation system generated by starting with an arterial shape and flow field coming from an FSI computation and performing two time steps of fluid mechanics computation with a prescribed arterial shape change, also coming from the FSI computation. We show how the DDPS algorithm performs in solving the equation system and demonstrate the scalability of the algorithm.
KW - Arterial fluid mechanics
KW - Boundary layer mesh refinement
KW - Incompressible flow
KW - Nested iterative methods
KW - Parallel sparse algorithms
KW - Preconditioning techniques
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U2 - 10.1007/s00466-011-0619-0
DO - 10.1007/s00466-011-0619-0
M3 - Article
AN - SCOPUS:80052649239
VL - 48
SP - 377
EP - 384
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 3
ER -