Hydrodynamic stability and bifurcations, flow control, CFD, convection;

Rotating flows, crystal growth, MHD, shear layers, high-performance computing;

Tracking of moving boundaries

Hydrodynamic stability and bifurcations, flow control, CFD, convection;

Rotating flows, crystal growth, MHD, shear layers, high-performance computing;

Tracking of moving boundaries

__Books edited__

*Studies of Flow Instabilities in Bulk Crystal Growth*, ed. A. Gelfgat, Transworld Research Network, 2007.

*Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics*, ed. A. Gelfgat, Springer, 2018. To appear.

__Chapters in books__

- Gelfgat A.Yu. 1998. On Different Modes of Rayleigh-Bénard Instability in Two- and Three-Dimensional Rectangular Enclosures.
*In: Continuation methods in Fluid Dynamics, eds. D. Henry and A. Bergeon,*Vieweg, 1998, pp.119-132. - Gelfgat A.Yu. 2007. Numerical Study of Three-Dimensional Instabilities of Czochralski Melt Flow Driven by Buoyancy Convection, Thermocapillarity and Rotation.
*In: Studies of Flow Instabilities in Bulk Crystal Growth*, ed. A. Gelfgat, Transworld Research Network, 2007, pp. 57-82. - Gelfgat A.Yu. On acceleration of Krylov-subspace-based Newton and Arnoldi iterations for incompressible CFD: replacing time steppers and generation of initial guess.
*In: Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics*, ed. A. Gelfgat, Springer, 2018. - Gelfgat A.Yu. Global Galerkin method for stability studies in incompressible CFD and other possible applications.
*In: Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics*, ed. A. Gelfgat, Springer, 2018.

__Refereed papers in professional journals:__

- Gelfgat A.Yu. and Perets I.V. 1987. Suppression of forced and convective flows of a stably stratified fluid in vertical channels,
*Mechanika Zhidkosti i Gaza*, 1987, No.2, 172-174 (rus., English translation in*: Fluid Dynamics*, 1987,**22**(2) 310-312). - Gelfgat A.Yu. 1988. Effects of the magnetic field magnitude and direction on the oscillatory thermogravitational convection regimes in a rectangular cavity,
*Magnetic Hydrodynamics*, 1988, No.3, 70-75 (rus., English translation in:*Magnetohydrodynamics*, 1988,**24**(3) 324-328). - Gelfgat A.Yu. and Martuzans B.J. 1990. Investigation of thermogravitational-thermocapillary steady-state convective flow stability at low Prandtl numbers,
*Mechanika Zhidkosti i Gaza,*1990, No.2, 8-12 (rus., English translation in: Fluid Dynamics, 1990,**25**(2) 169-174). - Gelfgat A.Yu. 1990. The magnetic field as it affects the three-dimensional structure of the self-oscillation regimes in free convection,
*Magnitnaya Gidrodynamika*, 1990, No.1, 13-22 (rus., English translation in:*Magnetohydrodynamics*, 1990, 26(1), 8-16). - Gelfgat A.Yu. 1991. Development and instability of steady convective flows in the square cavity heated from below in a field of vertically directed vibration forces,
*Mechanika Zhidkosti i Gaza*, 1991, No.2, 8-12 (rus., English translation in:*Fluid Dynamics*, 1991,**26**(2), 165-172). - Gelfgat A.Yu. and Tanasawa I. 1994. Numerical analysis of oscillatory instability of buoyancy convection with the Galerkin spectral method,
*Numerical Heat Transfer. Part A: Applications*,**25**(6), 627-648. - Gelfgat A.Yu. and Tanasawa I. 1995. Numerical investigation of the thermocapillary drift of a bubble in an electric field,
*Microgravity Science and Technology*,**8**(1), 16-22. - Gelfgat A.Yu., Bar-Yoseph P.Z. and Solan A. 1996. Stability of confined swirling flow with and without vortex breakdown,
*Journal of Fluid Mechanics*,**311**, 1-36. - Gelfgat A.Yu., Bar-Yoseph P.Z. and Solan A. 1996. Steady states and oscillatory instability of swirling flow in a cylinder with rotating top and bottom,
*Physics of Fluids*,**8**(10), 2614-2625. - Gelfgat A.Yu., Bar-Yoseph P.Z. and Yarin A.L. 1997. On oscillatory instability of convective flows at low Prandtl number,
*Journal of Fluids Engineering,***119**, 823-830. - Gelfgat A.Yu., Bar-Yoseph P.Z. and Yarin A.L. 1999. Stability of multiple steady states of convection in laterally heated cavities,
*Journal of Fluid Mechanics*,**388**, 315-334. - Gelfgat A.Yu., Bar-Yoseph P.Z. and Yarin A.L. 1999. Non-Symmetric convective flows in laterally heated rectangular cavities,
*Int. J. Computational Fluid Dynamics*,**11**, 261-273. - Gelfgat A.Yu. 1999. Different modes of Rayleigh-Bénard instability in two- and three-dimensional rectangular enclosures,
*Journal of Computational Physics*.**156**, 300-324. - Priede J., Cramer A., A.Bojarevics, Gelfgat A.Yu., Bar-Yoseph P.Z., Yarin A.L., Gerbeth G. 1999. Experimental and numerical study of anomalous thermocapillary convection in liquid gallium,
*Physics of Fluids*,**11**, 3331-3339. - Gelfgat A.Yu., Bar-Yoseph P.Z., Solan A., Kowalewski T. 1999. An axisymmetry- breaking instability in axially symmetric natural convection,
*International Journal of Transport Phenomena*,**1**, 173-190. - Gelfgat A.Yu., Bar-Yoseph P.Z., and Solan A. 2000. Axisymmetry breaking instabilities of natural convection in a vertical Bridgman growth configurations,
*Journal of Crystal Growth*,**220**, 316-325. - Gelfgat A.Yu. 2001. Two- and three-dimensional instabilities of confined flows: numerical study by a global Galerkin method,
*Computational Fluid Dynamics Journal*,**9**, 437-448. - Gelfgat A.Yu., Bar-Yoseph P.Z., and Solan A. 2001. Three-dimensional instability of axisymmetric flow in a rotating lid - cylinder enclosure,
*Journal of Fluid Mechanics,***438**, 363-377. - Gelfgat A.Yu., Bar-Yoseph P.Z., and Solan A. 2001. Effect of axial magnetic field on three-dimensional instability of natural convection in a vertical Bridgman growth configuration,
*Journal of Crystal Growth,***230**, 63-72*.* - Gelfgat A.Yu. and Bar-Yoseph P.Z., 2001. The effect of an external magnetic field on oscillatory instability of convective flows in a rectangular cavity,
*Physics of Fluids*,**13**, 2269-2278. - Gelfgat A.Yu., Yarin A.L., and Bar-Yoseph P.Z. 2001. Three-dimensional instability of a two-layer Dean flow,
*Physics of Fluids*,**13**, 3185-3195. - Yarin A.L., Gelfgat A.Yu. and Bar-Yoseph P.Z. 2002. Enhancement of mass transfer in a two-layer Taylor-Couette apparatus with axial flow,
*Int. J. Heat and Mass Transfer*,**45**, 555-570. - Gelfgat A.Yu. 2002. Three-dimensionality of trajectories of experimental tracers in a steady axisymmetric swirling flow: effect of density mismatch,
*Theoretical and Computational Fluid Dynamics,***16**, 29-41. - Gelfgat A.Yu., Yarin A.L., and Bar-Yoseph P.Z. 2003. Dean vortices – induced enhancement of mass transfer through an interface separating two immiscible liquids,
*Physics of Fluids*,**15**, 330-347. - Gelfgat A.Yu., Yarin A.L., and Bar-Yoseph P.Z. 2003. Convection – induced enhancement of mass transfer through an interface separating two immiscible liquids in a two-layer horizontal annulus,
*Physics of Fluids*,**15**, 790-800. - Marques F., Gelfgat A.Yu., and Lopez J. M. 2003. Tangent double Hopf bifurcation in a differentially rotating cylinder flow,
*Physical Review E*, 68, pp. 06310-1 – 06310-13 . - Erenburg V., Gelfgat A.Yu., Kit E., Bar-Yoseph P.Z., and Solan A. 2003. Multiple states, stability and bifurcations of natural convection in rectangular cavity with partially heated vertical walls,
*Journal of Fluid Mechanics*, 492, 63-89. - Gelfgat A.Yu. 2004. Stability and slightly supercritical oscillatory regimes of natural convection in a 8:1 cavity: solution of benchmark problem by a global Galerkin method,
*Int. J. Numerical Methods in Fluids*, 44, 135-146. - Gelfgat A.Yu., Bar-Yoseph P.Z. 2004. Multiple solutions and stability of confined convective and swirling flows – a continuing challenge,
*Int. J. Numer. Meth. Heat and Fluid Flow*, 14, 213-241. - Gelfgat Yu.M., Gelfgat A.Yu. 2004. Experimental and numerical study of rotating magnetic field driven flow in cylindrical enclosures with different aspect ratios,
*Magnetohydrodynamics*,**40**, 147-160. - Rubinov A., Erenburg V., Gelfgat A.Yu., Kit E., Bar-Yoseph P.Z., Solan A. 2004. Three-dimensional instabilities of natural convection in a vertical cylinder with partially heated sidewalls,
*Journal of Heat Transfer,*126, 586-599. - Gelfgat A.Yu., Yarin A.L., Bar-Yoseph P.Z., Graham M., Bai G. 2004
**.**Numerical modeling of two-fluid Taylor-Couette flow with deformable capillary liquid-liquid interface,*Physics of Fluids*,**16**, 4066-4074. - Gelfgat A.Yu., Rubinov A., Bar-Yoseph P.Z., Solan A. 2005. Numerical study of three-dimensional instabilities in a hydrodynamic model of Czochralski growth,
*Journal of Crystal Growth*,**275**, e7-e13. - Gelfgat A.Yu. 2005. On three-dimensional instability of a traveling magnetic field driven flow in a cylindrical container,
*J. Crystal Growth*,**279**, 276-288. - Gelfgat A.Yu., Rubinov A., Bar-Yoseph P.Z., Solan A. 2005. On the Three-Dimensional Instability of Thermocapillary Convection in Arbitrary Heating Floating Zones in Microgravity Environment,
*Fluid Dynamics & Material Processing*,**1**, 21-31. - Gelfgat A.Yu. 2006. Implementation of arbitrary inner product in global Galerkin method for incompressible Navier-Stokes equation,
*J. Comput. Phys*.,**211**, 513-530. - Heifetz E., Reuveni Y., Gelfgat A. Yu., Kit E. 2006. The counter-propagating Rossby wave perspective of Kelvin-Helmholtz instability a limiting case of a Rayleigh shear layer with zero width,
*Physics of Fluids*, 18, 01801-1 – 01801-4. - Gelfgat A.Yu. and Kit E. 2006. Spatial versus temporal instabilities in a parametrically forced stratified mixing layer,
*J. Fluid Mech,***552**, 189-227. - Gelfgat A. Yu. 2007. Stability of convective flows in cavities: solution of benchmark problems by a low-order finite volume method,
*Int. J. Numer. Meths. Fluids*,**53**, 485-506. - Gelfgat A. Yu. 2007. Three-Dimensional Stability Calculations for Hydrodynamic Model of Czochralski Growth,
*J. Cryst. Growth*,**303**, 226-230. - Gelfgat A. Yu. 2007. Three-dimensional instability of axisymmetric flows: solution of benchmark problems by a low-order finite volume method,
*Int. J. Numer. Meths. Fluids*,**54**, 269-294. - Teitel M., Schwabe D., Gelfgat A.Yu. 2008. Experimental and computational study of flow instabilities in a model of Czochralski growth,
*J. Cryst. Growth*,**310**, 1343-1348. - Crnogorac N., Wilke H., Cliffe K. A., Gelfgat A. Yu., and Kit E. 2008. Numerical modelling of instability and supercritical oscillatory states in a Czochralski model system of oxide melts,
*Crystal Research and Technology*,**43**, 606-615. - Feldman Yu. and Gelfgat A. Yu. 2009. On pressure-velocity coupled time-integration of incompressible Navier-Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique,
*Computers & Structures*,**87**, 710-720. - Sørensen J. N., Gelfgat A. Yu., Naumov I. V., and Mikkelsen R. F. 2009. Experimental and numerical results on three-dimensional instabilities in a rotating disk–tall cylinder flow,
*Physics of Fluids*,**21**, 054102, 5pp. - Kit E., Gerstenfeld D., Gelfgat A.Y., and Nikitin N.V. 2010. Bulging and bending of Kelvin-Helmholtz billows controlled by symmetry and phase of initial perturbation.
*Journal of Physics: Conference Series*,**216**, 012019, 21pp. - Feldman Yu. and Gelfgat A.Yu. 2010. Oscillatory instability of a 3D lid-driven flow in a cube.
*Physics of Fluids,***22***,*093602. - Shitrit S., Sidilkover D., and Gelfgat A.Yu. 2010. An algebraic multigrid solver for transonic flow problems.
*Journal of Computational Physics*,**230**, 1707-1729. - Gelfgat A.Yu. and Molokov S. 2011. Quasi-two-dimensional convection in a 3D laterally heated box in a strong magnetic field normal to main circulation.
*Physics of Fluids,***23**, 034101. - Haslavsky V., Miroshnichenko E., Kit E., and Gelfgat A. Yu. 2011. On experimental and numerical prediction of instabilities in Czochralski melt flow configuration.
*Journal of Crystal Growth*,**318**, 156-161. - Feldman Yu. and Gelfgat A.Yu. 2011. From multi- to single-grid CFD on massively parallel computers: numerical experiments on lid-driven flow in a cube using pressure-velocity coupled formulation.
*Computers & Fluids,***46**, 218-223*.* - Liberzon A., Feldman Yu., and Gelfgat A. Yu. 2011 Experimental observation of the steady – oscillatory transition in a cubic lid-driven cavity.
*Physics of Fluids*,**23**, 084106. - Gelfgat A.Yu. 2011 Destabilization of convection by weak rotation.
*Journal of Fluid Mechanics*,**685**, 377-412. - Vitoshkin H., Heifetz E., Gelfgat A. Yu., Harnik N. 2012 On the role of vortex stretching in optimal growth of three dimensional perturbations on plane parallel shear flows,
*Journal of Fluid Mechanics*,**707**, 369-380. - Vitoshkin H., Gelfgat A. Yu. 2013 On direct inverse of Stokes, Helmholtz and Laplacian operators in view of time-stepper-based Newton and Arnoldi solvers in incompressible CFD,
*Communications in Computational Physics*,**14**, 1103-1119. - Dijkstra H.A., Wubs F.W., Cliffe A.K., Doedel E., Dragomirescu I.F., Eckhardt B., Gelfgat A.Yu.
**,**Hazel A.L., Lucarini V., Salinger A.G.**,**Phipps E.T., Sanchez-Umbria J., Schuttelaars H.**,**Tuckerman L.S., Thiele U. 2013 Numerical bifurcation methods and their application to fluid dynamics: Analysis beyond simulation,*Communications in Computational Physics*,**15**, 1-45. - Haslavsky V., Kit E., and Gelfgat A. Yu. 2013 Experimental modelling of Czochralski melt flow with a slow crystal dummy rotation,
*Acta Physica Polonica, Pt. A*,**124**, 193-197. - Haslavsky V., Kit E., Miroshnichenko E., and Gelfgat A. Yu. 2013. Comparison and a possible source of disagreement between experimental and numerical results in a Czochralski model.
*Fluid Dynamics and Materials Processing,***9**, 209-234. - Gelfgat A. Yu. 2014 Visualization of three-dimensional incompressible flows by quasi-two-dimensional divergence-free projections,
*Computers & Fluids*,**97**, 143-155. - Vitoshkin H., Gelfgat A. Yu. 2014 Non-modal disturbances growth in a viscous mixing layer flow.
*Fluid Dynamics Research*,**46**, 041414. - Gelfgat A. Yu. 2015 Primary oscillatory instability in a rotating disk-cylinder system with aspect (height/radius) ratio varying from 0.1 to 1,
*Fluid Dynamics Research*,**47**, 035502. - Miroshnichenko E., Kit E., and Gelfgat A. Yu. 2016. Experimental study of cold plume instability in large Prandtl number Czochralski melt: Parametric dependences and scaling laws.
*J. Cryst. Growth*,**438**, 38-42. - Barmak I., Gelfgat A., Vitoshkin H., Ullmann A., and Brauner N. 2016 Stability of stratified two-phase flows in horizontal channels,
*Physics of Fluids*,**28**, 044101. - Gelfgat A. Yu. 2016 Visualization of three-dimensional incompressible flows by quasi-two-dimensional divergence-free projections in arbitrary flow regions. Theor. Comput. Fluid Dyn.,
**30**, 339-348. - Barmak I., Gelfgat A., Ullmann A., and Brauner N. 2016. Stability of stratified two-phase flows in inclined channels,
*Physics of Fluids*,**28**, 084101. - Miroshnichenko E., Kit E., and Gelfgat A. Yu. 2016. Effect of the capillary meniscus height on the instability of large Prandtl number Czochralski melt flow.
*J. Cryst. Growth*,**453**, 20-26. - Barmak I., Gelfgat A., Ullmann A., and Brauner N. 2017. On the Squire’s transformation for stratified two-phase flows in inclined channels.
*Int. J. Multiphase flow*,**88**, 142-151. - Gelfgat A. Yu. 2017. Time-dependent modeling of oscillatory instability of three-dimensional natural convection of air in a laterally heated cubic box.
*Theor. Comput. Fluid Dyn.,***31**, 447-469.

__Book Reviews in refereed professional journals__

- Gelfgat A. Yu. 2011. Marcello Lappa: Thermal convection: patterns, evolution and stability. Book Review.
*Crystal Research and Technology*,**46**, 891-892.

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