Abstract
This paper presents a numerical method to simulate a blood flow in a thoracic aorta. Patient-specific aorta shapes are used in a centerline-fitted curvilinear coordinate system in which the Navier–Stokes equation is discretized using finite-difference approximation with immersed boundary method. The main target of this study is the elucidation of flow fields in the thoracic aorta which is considered to be affecting the development of aneurysms. Swirling flow occurrence is investigated using simplified shapes of pipes with curvature and torsion.
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References
Isselbacher E.M: Thoracic and abdominal aortic aneurysms. Circulation 111, 816–828 (2005)
Elefteriades J.A.: Natural history of thoracic aortic aneurysms: indications for surgery, and surgical versus nonsurgical risks. Ann. Thorac. Surg 74, S1877–S1880 (2002)
Davies R.R., Goldstein L.J., Coady M.A., Tittle S.L., Rizzo J.A., Kopf G.S., Elefteriades J.A.: Yearly rupture or dissection rates for thoracic aortic aneurysms: simple prediction based on size. Ann. Thorac. Surg 73, 17–28 (2002)
Taylor C.A., Hughes T.J.R., Zarins C.K.: Finite element modeling of blood flow in arteries. Comput. Methods Appl. Mech. Eng. 158, 155–196 (1998)
Vignon-Clementel I.E., Figueroa C.A., Jansen K.J., Taylor C.A.: Outflow boundary conditions for finite element modeling of blood flow and pressure in arteries, Comp. Methods Appl. Mech. Eng. 195, 3776–3796 (2006)
Figueroa C.A., Vignon-Clementel I.E., Jansen K.E., Hughes T.J.R., Taylor C.A.: A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Comput. Methods Appl. Mech. Eng. 195, 5685–5706 (2006)
Humphrey J.D., Taylor C.A.: Intracranial and abdominal aortic aneurysms: similarities, differences, and need for a new class of computational models. Ann. Rev. Biomed. Eng. 10, 221–246 (2008)
Goldstein D., Handler R., Sirovich L.: Modeling a no-slip boundary with an external force field. J. Comput. Phys. 105, 354–366 (1993)
Fujita H., Kawahara H., Kawarada H.: Distribution theoretic approach to fictitious domain method for Neumann problems. East–West J. Numer. Math. 3(2), 111–126 (1995)
Mittal R., Iaccarino G.: Immersed boundary methods. Ann. Rev. Fluid Mech. 37, 239–261 (2005)
Rubin G.D., Paik D.S., Johnson P.C., Napel S.: Measurement of the aorta and its branches with helical CT. Radiology 206, 823–829 (1998)
Tillich M., Bell R.E., Paik D.S., Fleischmann D., Sofilos M.C., Logan L.J., Rubin G.D.: Iliac arterial injuries after endovascular repair of abdominal aortic aneurysms: correlation with iliac curvature and diameter. Radiology 219, 129–136 (2001)
Zhang S.-L.: GPBi-CG: Generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems. SIAM J. Sci. Comput. 18, 537–551 (1997)
Kawamura, T., Kuwahara, K.: Computation of high Reynolds number flow around a circular cylinder with surface roughness. AIAA Paper 84-0340 (1984)
Berger S.A., Talbot L.: Flow in curved pipes. Ann. Rev. Fluid Mech. 15, 461–512 (1983)
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Suito, H., Ueda, T. & Sze, D. Numerical simulation of blood flow in the thoracic aorta using a centerline-fitted finite difference approach. Japan J. Indust. Appl. Math. 30, 701–710 (2013). https://doi.org/10.1007/s13160-013-0123-3
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DOI: https://doi.org/10.1007/s13160-013-0123-3