Journal papers:

1. Gelfgat A.Yu. and Perets I.V. 1987. Suppression of gorced and convective glows of a stable stratified gluid in vertical channels, Mechanika Zhidkosti i Gaza , 1987, No.2, 172-174 (rus., English translation in: Fluid Dynamics, 1987, 22, 310-312).
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2. 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, 324-328).
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3. 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, 25 169-174).
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4. Gelfgat A.Yu. 1990. Influence of the magnetic field on the spatial structure of the oscillatory natural convection, Magnetic Hydrodynamics, 1990, No.1, 13-22 (rus., English translation in: Magnetohydrodynamics, 1990, 26, 8-16).
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5. 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 ,  No.2, 8-12 (rus., English translation in: Fluid Dynamics, 1991, 26, 165-172).
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6. Gelfgat A.Yu. and Tanasawa. 1994. Numerical analysis of oscillatory instability of buoyancy convection with the Galerkin spectral method, Numerical Heat Transfer. Part A: Applications, 25, 627-648. 
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7. 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, 16-22.
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8. Gelfgat A., 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.
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9. Gelfgat A.Yu., Bar-Yoseph P.Z. and Solan A. 1996. Vortex breakdown and instability of swirling flow in a cylinder with rotating top and bottom, Physics of Fluids, 8, 2614-2625.
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10. 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.
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11. 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.
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12. 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.
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13. Gelfgat A.Yu. 1999. Different modes of Rayleigh-Benard instability in two- and three-Dimensional rectangular enclosures. Journal of Computational Physics, 156, 300-324.
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14. Priede J., Cramer A., A.Bojarevics, Gelfgat A.Yu., Bar-Yoseph P.Z., Yarin A.L., G.Gerbeth. 1999. Experimental and numerical study of anomalous thermocapillary convection in liquid gallium, Physics of Fluids, 11, 3331-3339.
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15. 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.
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16. Gelfgat A.Yu. 2000. Two- and three-dimensional instabilities of confined flows: numerical study by a global Galerkin method, Computational Fluid Dynamics Journal, 9, 437-448.
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17. Gelfgat A.Yu., Bar-Yoseph P.Z., Solan A. 2000.  Axisymmetry breaking instabilities of natural convection in a vertical Bridgman growth configuration, Journal of Crystal Growth, 220, 316-325.
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18. Gelfgat A.Yu., Bar-Yoseph P.Z., Solan A. 2001. Three-dimensional instability of axisymmetric flow in a rotating lid - cylinder container, Journal of Fluid Mechanics, 438, 363-377.
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Get: Appendix I   Appendix II   Figure 7a   Figure 7b   Figure 7c   Figure 7d

19. 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.
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20. Gelfgat A.Yu. and Bar-Yoseph P.Z. 2001. On the magnetic field effect on oscillatory instability of convective flows in a rectangular cavity, Physics of Fluids, 13, 2269-2278.
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21. A.L.Yarin, A.Yu.Gelfgat and P.Z.Bar-Yoseph. 2002. Enhancement of mass transfer in a two-layer Taylor-Couette apparatus with axial flow, Int. J. Heat Mass Transfer, 45, 555-570.
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22. Gelfgat A.Yu., Bar-Yoseph P.Z. and Yarin A.L. 2001. Three- dimensional instability of a two-layer Dean flow: numerical study by global Galerkin method, Physics of  Fluids, 13, 3185-3195 
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23. 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, 29-24
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24. Gelfgat A.Yu., Bar-Yoseph P.Z. and Yarin A.L. 2003. Dean vortices- induced enhancement of mass transfer through an interface separating two immiscible liquids, Physics of Fluids, 15, 330-347.
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25. Gelfgat A.Yu., Bar-Yoseph P.Z. and Yarin A.L. 2003. Convection- induced enhancement of mass transfer through an interface separating two immsicible liquids in a two-layer horizontal annulus,  Physics of Fluids, 15, 790-800.
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26. Marques F. Gelfgat A.Yu. and Lopez J. M. 2003. Tangent double Hopf bifurcation in a differentially rotating cylinder flow, Physical Review E, 68, 06310, 13pp. 
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27. 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.
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28. Gelfgat A.Yu. 2004. Stability and slightly supercritical oscillatory regimes of natural convection in a 8:1 cavity: solution of benchmarkproblem by a global Galerkin method, Int. J. Numerical Methods in Fluids,
44, 135-146.
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29. Gelfgat A.Yu., Bar-Yoseph P.Z. Multiple solutions and stability of confined convective and swirling flows – a continuing challenge, Int. J. Numer. Meth. Heat and Fluid Flow, 14, 213-241.
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30. 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.
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31. 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, J. Heat Transfer, 126, 586-599.
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32. 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. Phys. Fluids, 16, 4066-4074.
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33. 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, J. Cryst. Growth, 275, e7-e13.
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34. Gelfgat A.Yu. 2005. On three-dimensional instability of a traveling magnetic field driven flow in a cylindrical container, J. Cryst. Growth, 279, 276-288.
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35. Gelfgat A.Yu., Rubinov A.,  Bar-Yoseph P.Z., Solan A. 2005. On the three-dimensional instability of thermocapillary convection in arbitrary heated floating zones in microgravity environment, Fluid Dynamics and Material Processing, 1, 21-31.
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36. Gelfgat A.Yu. 2005. Implementation of arbitrary inner product in the global Galerkin method for incompressible Navier-Stokes equations, J. Comput. Phys., 211, 513-530.
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37. Heifetz E., Reuveni Y., Gelfgat A. Yu., Kit E. 2006. The counter-propagating rossby wave perspective o Kelvin-Helmholz instability a limiting case of a Rayleigh shear layer with zero width, Physics of Fluids, 18, 01801.
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38. Gelfgat A. Yu. and Kit E. 2006. Spatial versus temporal instabilities in a parametrically forced stratified mixing layer, J. Fluid Mech, 552, 189-227.
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39. 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.

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40. Gelfgat A. Yu. 2007. Three-dimensional stability calculations for hydrodynamic model of Czochralski growth, J. Cryst. Growth, 303, 226-230.

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41. 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.

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42. Gelfgat A. Yu. 2007. Numerical study of three-dimensional instabilities of Czochralski melt flow driven by buoyancy convection, thermocapillarity and rotation.

In: Studies on Flow Instabilities in Bulk Crystal Growth, ed. A. Yu. Gelfgat, Transworld Research Network, Kerala, India.

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43. Teitel M., Schwabe D., Gelfgat A.Yu. 2008. Experi-mental and computational study of flow instabilities in a model of Czochralski growth, J. Cryst. Growth, 310, 1343-1348.

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44. 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.

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45. 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.

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46. 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.

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47. 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.

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48. 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.

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49. Feldman Yu. and Gelfgat A.Yu. 2010. Oscillatory instability of a 3D lid-driven flow in a cube. Physics of Fluids, 22, 093602.

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50. Shitrit S., Sidilkover D., and Gelfgat A.Yu. 2010. An algebraic multigrid solver for transonic flow problems. Journal of Computational Physics, 230, 1707-1729.

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51. 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.

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52. 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.

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53. 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.

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54. 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.

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55. Gelfgat A.Yu. 2011. Destabilization of convection by weak rotation. Journal of Fluid Mechanics, 685, 377-412.

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56. Vitoshkin H., Heifetz E., Gelfgat A. Yu. , Harnik N. 2012. On the role of vortex stretching in energy optimal growth of three dimensional perturbations on plane parallel shear flows. Journal of Fluid Mechanics, 707, 369-380.

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57. 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.

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58. Dijkstra H.A., Wubs F.W., Cliffe A.K., Doedel E., Dragomirescu I.F., Eckhardt B., Gelfgat A.Yu. , Hazel A.L., Lucarini V.,10, 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.

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59. 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.

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60. 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.

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61. Gelfgat A. Yu. 2014. Visualization of three-dimensional incompressible flows by quasi-two-dimensional divergence-free projections. Computers & Fluids, 97, 143-155.

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62. Vitoshkin H., Gelfgat A. Yu. 2014 Non-modal disturbances growth in a viscous mixing layer flow. Fluid Dynamics Research, 46, 041414.

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63. 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.

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64. 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.

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65. 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.

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66. 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.

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67. Barmak I., Gelfgat A., Ullmann A., and Brauner N. 2016 Stability of stratified two-phase flows in inclined channels, Physics of Fluids, 28, 084101.

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68. 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.

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69. 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.

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70. 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.

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71. Gelfgat A. Yu., Zikanov O. 2018. Computational modeling of magnetoconvection: effects of discretization method, grid refinement and grid stretching. Computers & Fluids, 175, 66-82.

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72. 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, pp. 147-167.

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 73. 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, pp. 353-398.

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 74. Gelfgat A. Yu. 2020. A comparative study on instability of steady flows in helical pipes. Fluid Dynamics Research, 52, 015511.

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75. Gelfgat A. Yu. 2020. Instability of natural convection in a laterally heated cube with perfectly conducting horizontal boundaries. Theor. Comput. Fluid Dyn., 34, 693-711.
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 76. Gelfgat A. Yu. 2020. Instability of natural convection of air in a laterally heated cube with perfectly insulated horizontal boundaries and perfectly conducting spanwise boundaries. Physical Review Fluids, 5, 093901.
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 77. Gelfgat A. 2020. Instability of steady flows in helical pipes. Physical Review Fluids, 5, 103904.
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78. Gelfgat A., Brauner N. 2020. Instability of stratified two-phase flows in rectangular ducts. Int. J. Multiphase Flow, 111, 103395.
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79. Vitoshkin H., Gelfgat A. 2021. Non-modal three-dimensional optimal perturbation growth in thermally stratified mixing layers. Fluids, 6, 1-18.
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