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

  • D. Iliev, O. Iliev, R. Kirsch: On Computer Simulation of Fluid-Porous Structure Interaction Problems for a Class of Filtration Problems, in: 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, in: 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 Faunhofer 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 Faunhofer ITWM 2012
  • O. Iliev, R. Kirsch, M. Kabel, Z. Lakdawala, V. Starikovicius, M. Dedering:
    CAE für das Design von Filterelementen. In: Die Integration von Strömungsberechnungen (CFD) in den Produktentwicklungsprozess, NAFEMS, 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 Faunhofer ITWM, 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, R. Kirsch, Z. Lakdawala, V. Starikovicius: On some macroscopic models for depth filtration: analytical solutions and parameter identification, Proceedings Filtech Congress, 2011
  • Z. Lakdawala, O. Iliev, M. Dedering, V. Starikovicius: On the recent progress in predicting filtration efficiency for filter elements, Proceedings Filtech Congress, 2011
Further Publications
  • 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 Congress, 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 and 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, FILTECH 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.
  • Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, J.: 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.
  • Dörfler, W.; Iliev, O.; Stoyanov, D.; Vassileva, D.: 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).
  • Iliev, O.; Mikelic, A.; Popov, P.: 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).
  • Iliev, O.; Rybak, I.: On numerical upscaling for flows in heterogeneous porous media; Comput. Methods Appl. Math. 8, No. 1, 60-76 (2008).
  • Starikovicius, V.; Ciegis, R.; Iliev, O.; Lakdawala, Z.: A parallel solver for the 3D simulation of flows through oil filters In: Parallel Scientific Computing and Optimization, Series: Springer Optimization and Its Applications, vol.27, pp.181-191 (2008)
  • Iliev, O.; Lazarov, R.; Willems, J.: 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).
  • Iliev, O.; Vasileva, D.: 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).
  • Iliev, O.; Rybak, I.; Willems, J.: On upscaling heat conductivity for a class of industrial problems; Theoretical and Applied Mechanics, to appear. Also, ITWM Report No. 119 (2007).
  • Ciegis, R.; Iliev, O.; Ladkawala, Z.: On parallel numerical algorithms for simulating industrial filtration problems; Comput. Methods Appl. Math. 7, No. 2, 118-134 (2007).
  • Iliev, O.; Linn, J.; Moog, M.; Niedziela, D.; Starikovicius, V.: On iterative solvers for non-Newtonian flow equations; Int. J. Num. Meth. Heat and Fluid Flow 16, No. 5, 602-616, 2006.
  • Ciegis, R.; Iliev, O.; Starikovicius, V.; Steiner, K.: Numerical algorithms for solving problems of multiphase flows in porous media; Math. Model. Anal. 11, No. 2, 133-148 (2006).
  • Naumovich, A.; Iliev, O.; Gaspar, F.; Lisbona, F.; Vabishchevich, P.: 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).
  • Ewing, R.; Iliev, O.; Lazarov, R.; Naumovich, A.: 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).
  • Ciegis, R.; Iliev, O.; Rief, S.; Steiner, K.: 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).
  • Slavov, V.; Dimova, S.; Iliev, O.: Phase-field method for 2D dendritic growth; Berlin: Springer. Lecture Notes in Computer Science 2907, 404-411 (2004).
  • Ciegis, R.; Iliev, O.: On numerical simulation of liquid polymer moulding; Math. Model. Anal. 8, No. 3, 181-202 (2003).
  • Iliev, O.; Laptev, V.: 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).
  • Dörfler, W.; Iliev, O.; Stoyanov, D.; Vassileva, D.: 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).
  • Iliev, O.; Tiwari, S.: A generalized (meshfree) finite difference discretization for elliptic interface problems; In: 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.
  • A modified finite volume approximation of second order elliptic equations with discontinuous coefficients, (with R.Ewing and R.Lazarov), 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.
  • Analysis of transport processes for layered porous materials used in industrial applications, (with A.Zemitis and K.Velten), To appear in Mathematics as a key technology, 2002, Springer.
  • On Multigrid Methods for the Compressible Navier-Stokes Equations, (with D.Drikakis and D.Vassileva), In: S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, vol.2179 of Lecture Notes in Computer Science, Springer, 2001.
  • Multigrid -- adaptive local refinement solver for incompressible flows, (with D.Stoyanov), In: S. Margenov, J. Wasniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, vol.2179 of Lecture Notes in Computer Science, Springer, 2001.
  • Acceleration of multigrid flow computations through a dynamic adaptation of the smoothing procedure, ( with D.Drikakis and D.Vassileva), Journal of Compulational Physics, Vol.165, pp.566-591, 2000.
  • On a multigrid, local refinement solver for incompressible Navier-Stokes equations (with D.Stoyanov), Mathematical modeling Vol.13, No.8, 2001.
  • A moving boundary finite element method-based numerical approach for the solution of the one-dimensional problems in shape memory alloys (with A.Bhattacharyya and V.Stoylov), Computer Methods in Applied Mechanics and Engineering, Vol.190, pp.1741-1762, 2000.
  • On a flexible tool for upscaling porous media flow problems, (with D.Stoyanov), 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).
  • Domain Transformation Problems in 2D Oxidation, (with P.Entchev and D.Lagoudas), J. Mechanical Behaviour of Materials, Vol.11, No.4, pp.275-293, 2000.
  • Evaluation of structural influence on performance of shape memory alloy linear actuators by sharp phase front - based constitutive model, (with A.Bhattacharyya and V.Stoylov), Computational Merials Science , Vol.18, pp.269-282, 2000.
  • Applications of mathematical modelling in metal science (with V.Manolov and A.Yotova), Journal of Materials Science and Technology, Vol.7, No.1, pp.11-20, 1999.
  • On the discretization of interface problems with perfect and imperfect contact, (with T.Chernogorova, R.Ewing, R.Lazarov), In: 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.
  • On a multigrid solution of some 3D incompressible flow problems, (with D.Stoyanov and P.Stankov), 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.
  • An adaptive-smoothing multigrid method for the Navier-Stokes equations,(with D.Drikakis and D.Vassileva), 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.
  • On the adaptive smoothing as an approach for accelerating multigrid flow computations (with D.Vassileva), Comptes rendus de l'Academie bulgare des Sciences, Vol.53, No.3, pp.17-20, 2000.
  • A 2nd order discretization of imperfect contact problems with piecewise constant coefficients on cell-centred grids, (with T.Chernogorova), 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.
  • On the efficiency of SIMPLE-type algorithms in computing incompressible flows on stretched grids, (with M.Schaefer), 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.
  • A nonlinear multigrid method for the incompressible Navier-Stokes equations, (with D.Drikakis and D.Vassileva), 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.
  • A multigrid algorithm for artifitial compressibility formulation of 3D Navier--Stokes equations, (with D. Drikakis and D. Vassielva), In: 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, In: 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.
  • Mathematical modeling of nitrogen diffusion in a solid metal particle (with V.Manolov, I.Bizhev, and Tz.Rashev), Comptes rendus de l'Academie bulgare des Sciences 1998, vol.51, No.1.
  • Numerical simulation of a 2D oxide layer propagation in an anisotropic medium (with P.Entchev and D.Lagoudas), J. Mechanical Behaviour of Materials, 7, No.1, 1996, 67-83.
  • A block-matrix numerical method for coupled solving 2D Navier-Stokes equations (with M. Makarov), Preprint No.10, Institute of Mathematics, Bulgarian Academy of Sciences, 1994, also in J. Comp. Physics, 121, No.1, 1995, 324-330.
  • 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 (with R.Ewing, S.Margenov and P.Vassilevski), 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.
  • 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 (with A.Samarskii, P.Vabishchevich, and A.Churbanov,in Russian), Int.J.Heat Mass Transfer, 36,No.17, 4095-4106(1993).
  • Numerical simulation of nitrogen diffusion in a solid chromium particle. (with V. Manolov and I. Bijev), Theoretical and Applied Mechanics, Year XXIV, No.2, 1993.
  • Numerical simulation of contaminant transport in a settle-tank, (with V.Naydenova), Theoretical and Applied Mechanics, Year XXIV, No.3, 1993.
  • 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. (with V.Manolov and A.Cherepanov, in Russian).
  • 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 (with P. Vabishchevich, Russian).
  • 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 (with P. Vassilevski and M.Makarov, Russian).
  • 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 (with V.Videnova et al.)
  • Numerical investigation of crystallization and natural convection of liquid with temperature -- dependent viscosity. Commun. Appl. Num. Meth., 8, 857-868(1992) (with P. Vabishchevich and N. Esikova).
  • Performance of certain iterative methods in solving implicit difference schemes for 2D Navier - Stokes equations. Int.J. Num. Met. Engng., 1992, 33,No.7 (with P. Vassilevski and 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 (with M.Makarov).
  • 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.
  • Numerical simulation of the natural convection of liquid with temperature dependent viscosity. Mathematical Modelling, Moscow, 1990, 2,3 15-22, (with P. Vabishchevich and N. Esikova, Russian).
  • Numerical investigation of heat and mass transfer during the crystallization of metal in a mould. Comm. Appl. Num. Meth., 5, 515-526 (1989) (with P.Vabishchevich).
  • Numerical investigation of temperature fields during the continuous casting of slyab ingots. J. Engineering Physics, 54, No 5, pp. 836-840 (1988), (with P. Vabishchevich and N. Esikova, Russian).
  • Numerical simulation of heat and mass transfer of liquid metal flow in channel. Modelling in mechanics, Novosibirsk, 2(19), 4, pp. 14-22 (1988) (with P.Vabishchevich, Russian).
  • Solving numerically coupled problems of heat and mass transfer with phase change, Differential'nye uravnenia, 23, 1127-1132 (1987) (with P. Vabishchevich, Russian, English translation: Differential Equations, 23(7), 746-750, 1987).