Published Books and Parts of Books
Ilgamov, M.A., Gilmanov, A.N. Non-reflecting boundary conditions. Moscow: Nauka. Publishing Company Fizmatlit. 2003. 240 pages.
Gilmanov, A.N. Methods of Adaptive Meshes in Gas Dynamic Problems. Moscow: Nauka. Publishing Company Fizmatlit. 2000. 247 pages.
Articles in Refereed Journals Gilmanov A., A. Barker, H. Stolarski, and F. Sotiropoulos. Image-Guided Fluid-Structure Interaction Simulation of Transvalvular Hemodynamics: Quantifying the Effects of Varying Aortic Valve Leaflet Thickness. Fluids. 2019, 4, 119, doi:10.3390/fluids4030119
Gilmanov A., H. Stolarski, and F. Sotiropoulos. Flow-structure interaction simulations of the aortic heart valve at physiologic conditions: The role of tissue constitutive model.
Journal of Biomechanical Engineering. 2018. doi:10.1115/1.4038885.
Gilmanov A., H. Stolarski, and F. Sotiropoulos. Non-linear rotation-free shell finite-element models for aortic heart valves.
Journal of Biomechanics. 2017. 50: 56-62.
Sotiropoulos, F., Le, TB, and A Gilmanov. Fluid Mechanics of Heart Valves and Their Replacements.
Annual Review of Fluid Mechanics. 2016. Vol. 48, 259-283.
Gilmanov, A., Le, T.B., Sotiropoulos F.
A numerical approach for simulating fluid structure interaction of flexible thin shells undergoing arbitrarily large deformations in complex domains.
Journal of Computational Physics. 2015. V 300, 814-843.
Gilmanov, A., Sotiropoulos, F.
Comparative hemodynamics in an aorta with bicuspid and trileaflet valves.
Theoretical and Computational Fluid Dynamics. 2015. 1-19.
Stolarski, H., Gilmanov, A., Sotiropoulos, F.
Nonlinear rotation‐free three‐node shell finite element formulation.
International Journal for Numerical Methods in Engineering. 2013. 95 (9), 740-770.
Gilmanov, A., Acharya, S. A hybrid Immersed Boundary & Material Point Method for Simulating 3D Fluid-Structure Interaction Problems.
Int. Journal for Numerical Methods in Fluids. 2008. V.56, N12, P.2151-2177.
Gilmanov, A., Acharya, S. A computational strategy for simulating heat transfer and flow past deformable objects.
International Journal of Heat and Mass Transfer. 2008. v. 51 4415–4426.
Gilmanov, A., Sotiropoulos, F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies.
Journal of Computational Physics. 2005. V.207. P.457-492.
Gilmanov, A., Sotiropoulos, F., and Balaras E. A General Reconstruction Algorithm for Simulating Flows with Complex 3D Immersed Boundaries on Cartesian Grids.
Journal of Computational Physics. 2003. V.191. P.660-669.