Employee Profile

Fraunhofer Institute for Industrial Mathematics ITWM

Competences

  • Numerical simulation of one-phase and multi-phase incompressible flows (with own and comercial software)
  • Mathematical models and numerical simulation of flows in porous, or in porous and plain media
  • Mathematical models and numerical simulation of solidification of metals and alloys
  • Numerical simulation of heat and mass transfer processes, as well as of phase change processes

Projects & Products

  • Modelling of liquid transport in hygienic materials in the presence of superabsorbent polymers (SAP)
  • Algorithms for simulation of flows in plain and porous media
  • Multigrid, local refinement solver for incompressible Navier-Stokes equations

Publications

  • T. Prill, O. Iliev, K. Nessler:
    Pore-Scale Modeling of Reacitve Flows with Applications in Purification and Absorption of Pollutants,
    Proceedings of the FILTECH 2016 Conference, L17-03, ISBN: 978-3-941655-12-6
    11-13 Oct, Cologne
  • O. Iliev, R. Desphande, S. Antonyuk:
    Analysis of filter cake formation using computational fluid dynamics - discrete element method (CFD-DEM) simulation
    Proceedings of the FILTECH 2016 Conference, L12-03, ISBN: 978-3-941655-12-6
    11-13 Oct, Cologne
  • O. Iliev, R. Kirsch, S. Osterroth:
    Combined depth and cake filtration coupled to flow simulation
    Proceedings of the FILTECH 2016 Conference, L12-02, ISBN: 978-3-941655-12-6
    11-13 Oct, Cologne
  • D. Iliev, O. Iliev, R. Kirsch:
    Numerical simulation of the fluid flow and poroelastic deformation in round pleated filter cartridges
    Proceedings of the FILTECH 2016 Conference, G09-03, ISBN: 978-3-941655-12-6
    11-13 Oct, Cologne
  • D. Iliev, O. Iliev, R. Kirsch:
    On Computer Simulation of Fluid-Porous Structure Interaction Problems for a Class of Filtration Problems
    Large-Scale Scientific Computing, Lecture Notes in Computer Science 9374, 30-41, Springer International Publishing, 2015.
  • O. Iliev, R. Kirsch, Z. Lakdawala, S. Rief, K. Steiner:
    Modeling and Simulation of Filtration Processes
    Currents in Industrial Mathematics, 163-228, Springer Berlin Heidelberg, 2015.
  • M. Buck, O. Iliev, H. Andrä:
    Multiscale finite element coarse spaces for the application to linear elasticity
    Cent. Eur. J. Math. 11:4, 680-701 (2013), (DOI: 10.2478/s11533-012-0166-8).
  • M. Buck, O. Iliev, H. Andrä:
    Multiscale coarsening for linear elasticity by energy minimization
    Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Applications, Springer Proceedings in Mathematics & Statistics, 45, 21-44 (2013).
  • M. Buck, O. Iliev, H. Andrä:
    Multiscale finite element coarse spaces for the analysis of linear elastic composites
    Berichte des Fraunhofer ITWM 2012
  • O. Iliev, G. Printsypar, S. Rief:
    A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects
    Berichte des Fraunhofer ITWM 2012
Further Publications
  • O. Iliev, R. Kirsch, M. Kabel, Z. Lakdawala, V. Starikovicius, M. Dedering:
    CAE für das Design von Filterelementen
    Die Integration von Strömungsberechnungen (CFD) in den Produktentwicklungsprozess, NAFEMS, April 2011
  • H. Andrä, O. Iliev, M. Kabel, Z. Lakdawala, R. Kirsch, S. Ricker:
    Fluid-structure interaction in porous media for loaded filter pleats
    PAMM, April 2011
  • O. Iliev, G. Printsypar, S. Rief:
    A one-dimensional model of the pressing section of a paper machine including dynamic capillary effects
    Berichte des Fraunhofer ITWM, 2011
  • Z. Lakdawala, O. Iliev, M. Dedering, V. Starikovicius:
    On the recent progress in predicting filtration efficiency for filter elements
    Proceedings Filtech Congress, 2011
  • A. Latz, J. Zausch, O. Iliev:
    Modeling of Species and Charge Transport in Li-Ion Batteries Based on Non-equilibrium Thermodynamics
    Lecture Notes in Computer Science 6046, 329 (2011).
  • O. Iliev, R. Kirsch, Z. Lakdawala, V. Starikovicius:
    On some macroscopic models for depth filtration: analytical solutions and parameter identification
    Proceedings Filtech Congress, 2011
  • O. Iliev, Z. Lakdawala, R. Kirsch, K. Steiner, E. Toroshchin, M. Dedering, V. Starikovicius:
    CFD simulations for better filter element design
    Proceedings FILTECH Conference, 2011.
  • O. Iliev, R. Lazarov, J. Willems:
    Variational multiscale Finite Element Method for flows in highly porous media
    SIAM Multiscale Modeling and Simulation
  • O. Iliev, T. Nagapetyan, K. Ritter:
    Monte Carlo Simulation of Asymmetric Flow Field Flow Fractionation
    Monte Carlo Methods and Applications
  • O. Iliev, G. Printsypar, S. Rief:
    On Mathematical Modeling and Simulation of the Pressing Section of a Paper Machine Including Dynamic Capillary Effects: One-Dimensional Model
    TRANSPORT IN POROUS MEDIA, Volume 92, Number 1, 41-59, DOI: 10.1007/s11242-011-9890-y, 2012.
  • H. Andrä, O. Iliev, M. Kabel, Z. Lakdawala, R. Kirsch, V. Starikovicius:
    Modelling and simulation of filter media loading and of pleats deflection
    Proceedings of the FILTECH Conference, 2011 Bd. I, March 2011, S. 480–486.
  • O. Iliev, M. Kabel, R. Kirsch, Z. Lakdawala, V. Starikovicius, M. Dedering:
    Computer Aided Engineering for the Design of Filter Elements
    Proceedings of the NAFEMS Seminar „The Integration of CFD into the Product Development Process“ 2011, chapter 13.
  • R. Ewing, O. Iliev, R. Lazarov, I. Rybak, J. Willems:
    An efficient approach for upscaling properties of composite materials with high contrast of coefficients
    SIAM J. Sci. Comput., to appear. Also: TR No. 132 Fraunhofer ITWM 2008.
  • W. Dörfler, O. Iliev, D. Stoyanov, D. Vassileva:
    On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver
    Computers and Visualization in Science, to appear. Also, ITWM Report No. 70 (2004).
  • O. Iliev, A. Mikelic, P. Popov:
    On upscaling certain flows in deformable porous media
    SIAM J. on Multiscale Modeling and Simulation 7, No. 1, 93-123 (2008). Also, ITWM Report No. 65 (2004).
  • O. Iliev, I. Rybak:
    On numerical upscaling for flows in heterogeneous porous media
    Comput. Methods Appl. Math. 8, No. 1, 60-76 (2008).
  • V. Starikovicius, R. Ciegis, O. Iliev, Z. Lakdawala:
    A parallel solver for the 3D simulation of flows through oil filters
    Parallel Scientific Computing and Optimization, Series: Springer Optimization and Its Applications, vol.27, pp.181-191 (2008)
  • O. Iliev, R. Lazarov, J. Willems:
    Numerical study of two-grid preconditioners for 1-D elliptic problems with highly oscillating discontinuous coefficients
    Comput. Methods Appl. Math. 7, No. 1, 48-67 (2007). Also, ITWM Report No. 111 (2007).
  • O. Iliev, D. Vasileva:
    On a local refinement solver for coupled flow in plain and porous media
    [A] Boyanov, Todor (ed.) et al., Numerical methods and applications
    6th international conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006.
    Revised papers. Berlin: Springer. Lecture Notes in Computer Science 4310, 590-598 (2007).
  • O. Iliev, I. Rybak, J. Willems:
    On upscaling heat conductivity for a class of industrial problems
    Theoretical and Applied Mechanics, to appear. Also, ITWM Report No. 119 (2007).
  • R. Ciegis, O. Iliev, Z. Ladkawala:
    On parallel numerical algorithms for simulating industrial filtration problems
    Comput. Methods Appl. Math. 7, No. 2, 118-134 (2007).
  • O. Iliev, J. Linn, M. Moog, D. Niedziela, V. Starikovicius.:
    On iterative solvers for non-Newtonian flow equations
    Int. J. Num. Meth. Heat and Fluid Flow 16, No. 5, 602-616, 2006.
  • R. Ciegis, O. Iliev, V. Starikovicius, K. Steiner:
    Numerical algorithms for solving problems of multiphase flows in porous media
    Math. Model. Anal. 11, No. 2, 133-148 (2006).
  • A. Naumovich, O. Iliev,, F. Gaspar, F. Lisbona, P. Vabishchevich:
    On numerical solution of 1D poroelasticity equations in a multilayered domain
    Math. Model. Anal. 10, No. 3, 287-304 (2005). Also, ITWM Report No. 66 (2004).
  • R. Ewing, O. Iliev, R. Lazarov, A. Naumovich:
    On convergence of certain finite difference discretizations for 1D poroelasticity interface problems
    Num. Meth. PDEs 23, No. 3, 652-671 (2007). Also, ITWM Report No. 69 (2004).
  • R. Ciegis, O. Iliev, S. Rief, K. Steiner:
    On modelling and simulation of different regimes for liquid polymer moulding;
    Comput. Methods Appl. Math. 4, No. 2, 131-162 (2004). Also, ITWM Report No. 63 (2004).
  • V. Slavov, S. Dimova, O. Iliev:
    Phase-field method for 2D dendritic growth
    Berlin: Springer. Lecture Notes in Computer Science 2907, 404-411 (2004).
  • R. Ciegis, O. Iliev:
    On numerical simulation of liquid polymer moulding
    Math. Model. Anal. 8, No. 3, 181-202 (2003).
  • O. Iliev, V. Laptev:
    On numerical simulation of flow through oil filters
    Computing and Visualization in Science 6, 139-146 (2004). Also, ITWM Report No. 51 (2003).
  • On second-order-accurate discretization of 3D interface problems and its fast solution with a pointwise multigrid solver
    IMA J. Numerical Analysis 22, 391-406 (2002).
  • W. Dörfler, O. Iliev, D. Stoyanov, D. Vassileva:
    On a multigrid adaptive refinement solver for saturated non-newtonian flow in porous media
    ITWM Report No. 52 (2003).
    Also, in: Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev (Eds)., Berlin: Springer. Lecture notes in computer sciences 2502, 171-178 (2003).
  • O. Iliev, S. Tiwari:
    A generalized (meshfree) finite difference discretization for elliptic interface problems
    Numerical Methods and Applications, I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev (Eds).
    Berlin: Springer. Lecture notes in computer sciences 2502, 480-489 (2003).
  • On second order accurate discretization of 3D elliptic equations with discontinuous coefficients and its fast solution by multigrid method with a pointwise smoother
    IMA J. Numerical Analysis.
  • O. Iliev, R. Ewing, R. Lazarov:
    A modified finite volume approximation of second order elliptic equations with discontinuous coefficients
    SIAM J. Sci.Comp.,Vol.23, No.4, pp.1334-1350, 2001.
    Also: Technical report ISC-99-01-MATH of the Institute for Scientific Computations, The Texas A\&M University.
  • O. Iliev, A. Zemitis, K. Velten:
    Analysis of transport processes for layered porous materials used in industrial applications
    To appear in Mathematics as a key technology, 2002, Springer.
  • O. Iliev, D. Driakis, D. Vassileva:
    On Multigrid Methods for the Compressible Navier-Stokes Equations
    In: S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, vol.2179 of Lecture Notes in Computer Science, Springer, 2001.
  • O. Iliev, D. Stoyanov:
    Multigrid -- adaptive local refinement solver for incompressible flows
    In: S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, vol.2179 of Lecture Notes in Computer Science, Springer, 2001.
  • O. Iliev, D. Drikakis, D. Vassileva:
    Acceleration of multigrid flow computations through a dynamic adaptation of the smoothing procedure
    Journal of Compulational Physics, Vol.165, pp.566-591, 2000.
  • O. Iliev, D. Stoyanov:
    On a multigrid, local refinement solver for incompressible Navier-Stokes equations
    Mathematical modeling Vol.13, No.8, 2001.
  • O. Iliev, A. Bhattacharyya, V. Stoylov:
    A moving boundary finite element method-based numerical approach for the solution of the one-dimensional problems in shape memory alloys
    Computer Methods in Applied Mechanics and Engineering, Vol.190, pp.1741-1762, 2000.
  • O. Iliev, D. Stoyanov:
    On a flexible tool for upscaling porous media flow problem
    Journal on Theoretical and Applied Mechanics, vol.31, No.1, pp.18-30, 2001.
  • A finite difference scheme of second order for elliptic problems with discontinuous coefficients
    Differentsial'nye uravnenia , Vol.36, No.6, pp.837-838, 2000, in Russian (English translation in Differential Equations).
  • O. Iliev, P. Entchev, D. Lagoudas:
    Domain Transformation Problems in 2D Oxidation
    J. Mechanical Behaviour of Materials, Vol.11, No.4, pp.275-293, 2000.
  • O. Iliev, A. Bhattacharyya, V. Stoylov:
    Evaluation of structural influence on performance of shape memory alloy linear actuators by sharp phase front - based constitutive model
    Computational Merials Science , Vol.18, pp.269-282, 2000.
  • O. Iliev, V. Manalov, A. Yotova:
    Applications of mathematical modelling in metal science
    Journal of Materials Science and Technology, Vol.7, No.1, pp.11-20, 1999.
  • O. Iliev, T. Chernogorova, R. Ewing, R. Lazarov:
    On the discretization of interface problems with perfect and imperfect contact
    Chen, Ewing and Shi (Eds), Lecture Notes in Physics ,Springer, 2000, Vol.552
    Proc. of the workshop of computational physics, Beijing, China, August 2-6, 1999, pp.93-104.
  • O. Iliev, D. Stoyanov, P. Stankov:
    On a multigrid solution of some 3D incompressible flow problems
    Notes in Numerical Fluid Mechanics , vol.73, M.Griebel et al. (Eds), Vieweg Verlag, 2000
    Proc. of Workshop on Large Scale Scientific Computations, June 1999, Sozopol, Bulgaria.
  • O. Iliev, D. Drikakis, D. Vassileva:
    An adaptive-smoothing multigrid method for the Navier-Stokes equations
    to appear in Lecture Notes in Computer Science, Springer, Vol. 14, 2000, E.Dick et al (Eds)
    Proceedings of the Europeean Conference on Multigrid Methods, Ghent, September 1999, pp.94-100.
  • O. Iliev, D. Vassileva:
    On the adaptive smoothing as an approach for accelerating multigrid flow computations
    Comptes rendus de l'Academie bulgare des Sciences, Vol.53, No.3, pp.17-20, 2000.
  • O. Iliev, T. Chernogorova:
    A 2nd order discretization of imperfect contact problems with piecewise constant coefficients on cell-centred grids
    Notes in Numerical Fluid Mechanics , vol.73, M.Griebel et al. (Eds), Vieweg Verlag, 2000
    Proc. of Workshop on Large Scale Scientific Computations, June 1999, Sozopol, Bulgaria.
  • O. Iliev, M. Schaefer:
    On the efficiency of SIMPLE-type algorithms in computing incompressible flows on stretched grids
    Technical report 99-01 of Dept. Mechanical Engineering, Darmstadt University of Technology.
    Also in: M.Griebel et al (Eds),Notes in Numerical Fluid Mechanics, vol.bf 73, Vieweg Verlag
    Proc. of 2nd Workshop on Large Scale Scientific Computations, June 1999, Sozopol, Bulgaria.
  • O. Iliev, D. Drikakis, D. Vassileva:
    A nonlinear multigrid method for the incompressible Navier-Stokes equations
    UMIST Thermo-Fluid-Dynamics Division Report, TFG/97/05.
    Also in Journal of Computational Physics, Vol.146, pp.310-321, 1998.
  • A modified finite volumes approach for elliptic equations
    Comptes rendus de l'Academie bulgare des Sciences, 51, No.3, 1998.
  • O. Iliev, D. Drikakis, D. Vassileva:
    A multigrid algorithm for artifitial compressibility formulation of 3D Navier--Stokes equations
    M. Griebel et al. (Eds), Large -- Scale Scientific Computations of Engineering and Environmental Problems, Notes in Numerical Fluid Mechanics, vol. 62, Vieweg Verlag, pp.260-268, 1998.
  • On numerical solution of 3D elliptic problems with highly varying coefficients
    M. Griebel et al. (Eds), Large -- Scale Scientific Computations of Engineering and Environmental Problems, Notes in Numerical Fluid Mechanics, vol.62, Vieweg Verlag, pp.229-238, 1998.
  • O. Iliev, V. Manolov, I. Bizhev:
    Mathematical modeling of nitrogen diffusion in a solid metal particle
    Comptes rendus de l'Academie bulgare des Sciences 1998, vol.51, No.1.
  • O. Iliev, P. Entchev, D. Lagoudas:
    Numerical simulation of a 2D oxide layer propagation in an anisotropic medium
    J. Mechanical Behaviour of Materials, 7, No.1, 1996, 67-83.
  • O. Iliev, M. Makarov:
    A block-matrix numerical method for coupled solving 2D Navier-Stokes equations
    Preprint No.10, Institute of Mathematics, Bulgarian Academy of Sciences, 1994
    Also in J. Comp. Physics, 121, No.1, 1995, 324-330.
  • O. Iliev, R. Ewing, S. Margenov, P. Vassilevski:
    Numerical study of three multilevel preconditioners for solving 2D unsteady Navier - Stokes equations
    Technical report No. 1992-08 of Enhanced Oil Recovery Institute, University of Wyoming
    Comp. Meth. Appl. Mech. Engng, 121(1995), 177-186.
  • Numerical investigation of 2D laminar flow and solute transport in a channel with some sudden symetric expansions and contractions
    Univ. of California, Los Angeles, Dept. of Mathematics, CAM report 1993-30, July 1993.
    Also in Numerical Heat Transfer,Part A, 26, No.6, Dec.1994, 739-748.
  • O. Iliev, A. Samarskii, P. Vabishchevich, A. Churnaov:
    Numerical simulation of convection/diffusion phase change problems. A review.
    Technical report of the Institute for Mathematical Modeling at Russian Acad. Sci., No.7, 1992
    Int. J.Heat Mass Transfer, 36,No.17, 4095-4106(1993).
  • O. Iliev, V. Manolov, I. Bijev:
    Numerical simulation of nitrogen diffusion in a solid chromium particle
    Theoretical and Applied Mechanics, Year XXIV, No.2, 1993.
  • O. Iliev, V. Naydenova:
    Numerical simulation of contaminant transport in a settle-tank
    Theoretical and Applied Mechanics, Year XXIV, No.3, 1993.
  • O. Iliev, V. Manolov, A. Cherepanov:
    Mathematical modeling of heat and mass transfer processes in mushy region during steel solidification.
    Comptes rendus l`Academie bulgare des Sciences 1993 No.6,pp.17-20, in Russian.
  • O. Iliev, P. Vabishchevish:
    Fixed grid numerical methods for solving 2D crystallization problems taking into account the natural convection in the liquid metal
    Vestnik Mosk. Univ., ser.15, Computational Mathematics and Cybernetics, 1993, No.2, pp.8-18, Russian.
  • O. Iliev, P. Vassilevski, M. Makarov:
    On the usage iterative methods for solving 2D unsteady Navier-Stokes equations.
    Vestnik Mosk. Univ., ser.15, Computational Mathematics and Cybernetics, 1993, No.2, pp.19-28, Russian.
  • O. Iliev, V. Videnova:
    Mathematical modeling of non-stationary flow of liquid metal through vertical sprue tubes.
    Theoretical and Applied Mechanics, 1992, XXIII,No.2, pp.108-113, Sofia
  • O. Iliev, P. Vabishchevich, N. Esikova:
    Numerical investigation of crystallization and natural convection of liquid with temperature -- dependent viscosity.
    Commun. Appl. Num. Meth., 8, 857-868, 1992
  • O. Iliev, P. Vassilvski, M. Makarov:
    Performance of certain iterative methods in solving implicit difference schemes for 2D Navier - Stokes equations.
    Int.J. Num. Met. Engng., 1992, 33,No.7
  • O. Iliev, M. Makarov:
    An iterative method for coupled solving 2D unsteady Navier Stokes equations.
    Comptes rendus de l'Academie bulgare des Sciences 1991, 44, No.7, 21-24.
  • Numerical investigation of laminar coupled, natural and forced, convection of the liquid metal in the entrance of vertical cooling tube.
    Theoretical and Applied Mechanics, Sofia, 1990, Year XX, No 1.pp.36-43.
  • O. Iliev, P. Vabishchevich, N. Esikova:
    Numerical simulation of the natural convection of liquid with temperature dependent viscosity.
    Mathematical Modelling, Moscow, 1990, 2,3 15-22, Russian.
  • O. Iliev, P. Vabishchevich:
    Numerical investigation of heat and mass transfer during the crystallization of metal in a mould
    Comm. Appl. Num. Meth., 5, 515-526, 1989.
  • O. Iliev, P. Vabishchevich, N. Esikova:
    Numerical investigation of temperature fields during the continuous casting of slyab ingots.
    J. Engineering Physics, 54, No 5, pp. 836-840, 1988, Russian.
  • O. Iliev, P. Vabishchevich:
    Numerical simulation of heat and mass transfer of liquid metal flow in channel.
    Modelling in mechanics, Novosibirsk, 2(19), 4, pp. 14-22, 1988, Russian
  • O. Iliev, P. Vabishchevich:
    Solving numerically coupled problems of heat and mass transfer with phase change
    Differential'nye uravnenia, 23, 1127-1132, 1987, Russian,
    English translation: Differential Equations, 23(7), 746-750, 1987.