2013-2022:
Associate Professor (Computational Mathematics),
School of Production Engineering & Management, Technical University of Crete, Chania,
Greece
2012-2013: (Tenure) Assistant Professor (Computational Mathematics),
Department of Sciences, Division of Mathematics, Technical University of Crete, Chania,
Greece
2008-2012:
Assistant Professor (Computational Mathematics),
Department of Sciences, Division of Mathematics, Technical University of Crete, Chania,
Greece
Numerical Methods for Partial Differential Equations
(Graduate, in Greek)
(REFEREED) PUBLICATIONS (JOURNALS, PROCEEDINGS, BOOK CHAPTERS):
Delis, A. I. and Skeels, C. P. "TVD schemes for open channel flow", in the
International Journal of Numerical Methods in Fluids,
Volume 26(7), pp. 791-809, 1998.
Delis, A. I. and Skeels, C. P. "Implicit TVD Methods For Modelling
Discontinuous Channel Flows",
Proceedings (Theme D) of the International Association for Hydraulic
Research XXVII Congress, San Fransisco, August 1997.
Delis, A.I. (with C.P. Skeels and S.C.Ryrie) "Evaluation of Some Approximate Riemann
Solvers for transient Open
Channel Flows", In the International
Journal of Hydraulic
Research, Vol. 38, No.3, pp. 217-231, 2000.
Delis, A.I. (with C.P. Skeels and S.C.Ryrie) "Implicit High-Resolution Methods for
Modelling One Dimensional Open Channel Flows",
In the International Journal of
Hydraulic Research, Vol. 38, No. 5, pp.
369-382, 2000. (Download
in .pdf here )
Delis, A.I. "Higher
Order Numerical Methods Evaluation for the Computation of
One-Dimensional Free Surface Shallow Water Flows",
Int. J. of Computational
Engineering Science, Vol 3, No.5, pp. 13-45,
2002.
Delis, A.I. "Improved
application of the HLLE Riemann solver for the shallow water equations
with source terms", Comm. in Numerical Methods in
Engineering , Vol. 19(1), pp. 59-83, 2003.
Delis, A.I. and Katsaounis, Th. "Relaxation schemes for the shallow water equations",
in the International Journal of Numerical Methods in Fluids ,
Vol. 41, no. 7 pp. 695-719, 2003.
Delis, A.I. and Katsaounis, Th.,
"Computational methods for 2D shallow water flows based on relaxation
schemes", Vol.2, pp. 602-611, HERCMA 2003, Proceedings of
the
Sixth Hellenic European Research on Computer Mathematics and its
Applications , Sept. 2003.
Delis, A.I. and Katsaounis, Th.
,"A generalized relaxation method for transport and diffusion of
pollutant models in shallow water", Computational Methods
in Applied Mathematics (CMAM) , Vol.4, No. 4, p. 410-430,
2004. (Download
in .pdf here )
Delis, A.I. and Katsaounis, Th.,
"Relaxation approximations to shallow water and pollutant transport
equations", Proceedings of the 17th IMACS 2005.
Delis, A.I. and Katsaounis, Th.
"Numerical solution of the two-dimensional shallow water equations by
the application of relaxation methods" , Applied
Mathematical Modelling, Vol. 29, pp. 754-783, 2005. (Download in
.pdf here )
Arvanitis, Ch. and Delis, A.I.,
"Behavior of finite Volume Schemes for Hyperbolic Conservation Laws on
Adaptive Redisrtibuted Spatial Grids", SIAM J. Sci.
Comput. 28(5), pp. 1927-1956, 2006
T. Papakostas, A. G. Bratsos, I. Th. Famelis, A. I. Delis "An implicit numerical scheme for the atmospheric pollution", HERCMA 2007 ( Proc. of thr 8th Hellenic-European Conference on Computer Mathematics and its Applications), 2007
Delis, A.I and Papoglou, I.,
"Relaxation approximation to bed-load sediment transport" ,
J. Computational and Applied Mathematics, 213(2), pp. 521-546, 2008.
Delis, A.I, Kazolea, M. and Kampanis, N.A.,
"A Robust High Resolution Finite Volume Scheme for the Simulation of
Long Waves Over Complex Domains" ,
International Journal
for Numerical Methods in Fluids, 56(4), pp. 419-452,
2008.
Delis, A.I. and Mathioudakis, E.N.,
"A Finite Volume parallelization for the simulation of Free Surface water Flows" ,
Mathematics and Computers
in Simulation, 79, pp. 3339-3359,
2009.
Delis, A.I. and Kampanis, N.A,
"NUMERICAL FLOOD SIMULATION BY DEPTH AVERAGED FREE SURFACE FLOW MODELS" ,
in Environmental Systems, [Ed. Achim Sydow], in Encyclopedia of Life Support Systems (EOLSS), Developed under the Auspices of the UNESCO, Eolss Publishers, Oxford ,UK, [http://www.eolss.net] ,
2009.
Delis, A.I. and I.K. Nikolos , "A well-balanced node-centered finite volume scheme for shallow water flows with wetting and drying" , AIP Conference Proceedings
Vol. 1168, 2009, pp. 1425-1428. 2009.
Delis, A.I. and Kazolea, M., "Finite Volume computations of nonlinear waves generated by landslides" ,
HERCMA 2009, Proceedings of
the
9th Hellenic European Research on Computer Mathematics and its
Applications , Sept.
2009.
I.K. Nikolos and A.I. Delis,
"An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography" ,
Computer Methods in Applied Mechanics and Engineering, 198, pp. 3723-3750,
2009.
Delis, A.I. and Nikolos, I.K. and Kazolea, M.,
"Comparison of cell-centered and node-cntered formulations of a high-resolution well-balanced finite volume scheme: Application to shallow water flows." ,
Proceedings of the XVII International Conference on Computer Methods in Water Resources, CMWR, J. Carrera (ed), CIMNE, Barcelona,
2010. Paper,Talk
A.I. Delis and M. Kazolea,
"Finite volume simulation of waves formed by sliding masses" ,
Comm. in Numerical Methods in Engineering (now International Journal for Numerical Methods in Biomedical Engoneering), 27(5), 732-757,
2011.
A.I. Delis and M. Kazolea,
"A Well-Balanced
Finite Volume Scheme for Extended Boussinesq
Equations on Unstructured Meshes" ,
Proceedings of the 5th international Conference on Advanced
COmputational Methods in ENgineering (ACOMEN 2011), November 2011, Liege, Belgium,
2011.
N.A. Kampanis, A.I. Delis, D. Antonopoulou and G.V. Kozyrakis,
"A finite element discretization of the standard parabolic equation
in generalized boundary fitting coordinates",
Applied Numerical Mathematics, 67, pp. 152-166,
2013.
M. Kazolea and A.I. Delis,
"A well-balanced shock-capturing hybrid finite volume-finite difference numerical scheme for extended 1D Boussinesq models" ,
Applied Numerical Mathematics, 67, pp. 167-186, PDF ),
2013.
A.I. Delis and I.K. Nikolos,
"A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics" ,
International J. for Numerical Methods in Fluids, 71, pp. 584-633, 2013.
M. Kazolea, A.I. Delis, I.K. Nikolos and C.E. Synolakis,
"An unstructured finite volume
numerical scheme for extended Boussinesq-type
equations" ,
Coastal Engineering, 69, pp. 42-66, 2012.
A. Antoniou, I.K. Nikolos and A.I. Delis
"Solution reconstruction and limiting for the 2D Euler equations in centroid-dual unstructured finite volumes" ,
Proceedings of the 10th HSTAM International Congress on Mechanics, PDF, 2013.
A.I. Delis and I.K. Nikolos,
"On a solution reconstruction and limiting procedure for unstructured Finite Volumes" ,
American Institure of Mathematical Sciences (AIMS) Journal Vol 8, Proceedings of HYP2012 Conference, pp. 491-499, PDF, 2014.
M. Kazolea, A.I. Delis and C.E. Synolakis,
"Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations" ,
Journal of Computational Physics, 271, pp. 281-305, 2014.
A.I. Delis, I.K. Nikolos and M. Papageorgiou,
"High-resolution numerical relaxation approximations to second-order
macroscopic traffic flow models" ,
Trans. Res. Part C: Emerging Technologies, 44, pp. 318-349, 2014.
I.K. Nikolos, A.I. Delis and M. Papageorgiou,
"Relaxation approximations to second-order traffic flow models by high-resolution schemes" ,
Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), AIP Conf. Proc. 53008-1-4, 2015.
A.I. Delis and M. Kazolea,
"Advanced numerical simulation of near-shore processes by extended Boussinesq-type models on unstructured meshes" ,
Proceedings of the 18th European Conference on Mathematics for Industry (ECMI 2014), Springer, 2015.
A.I. Delis, I.K. Nikolos and M. Papageorgiou,
"Macroscopic traffic flow modeling with adaptive cruise control: Development and numerical solution" ,
Computers and Mathematics with Applications, 70(8) , pp. 1921-1947, 2015 .
M. Kazolea N. Kalligeris, N. Maravelakis, C.E. Synolakis, A.I. Delis and P. Lynett
"Numerical study of wave conditions for the old Venetian harbor of Chania in Crete, Greece" ,
36th IAHR World Congress Proceedings, 2015 .
A.I. Delis, I.K. Nikolos and M. Papageorgiou,
"Macroscopic Modelling of Multi-lane Traffic" ,
18th IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC, Art. Num. 7313449, pp. 2213-2218, 2015 .
I.K. Nikolos, A.I. Delis and M. Papageorgiou,
"Macroscopic Modelling and Simulation of ACC and CACC Traffic" ,
18th IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC, Art. Num. 7313436, pp. 2129-2134, 2015
.
K.N. Porfyri, I.K. Nikolos, A.I. Delis and M. Papageorgiou,
"Stability Analysis of a Macroscopic Traffic Flow Model for Adaptive Cruise Control Systems" ,
ASME 2015 International Mechanical Engineering Congress and Exposition
Volume 12: Transportation Systems Paper No. IMECE2015-50977, pp. V012T15A002; 9 pages, 2015
.
G.V. Kozyrakis, A.I. Delis, G. Alexandrakis, N.A. Kampanis,
"Numerical modeling of sediment transport
applied to coastal morphodynamics" ,
Applied Numerical Mathematics, 104, 30-46, 2016.
K.N. Porfyri, I.K. Nikolos, A.I. Delis and M. Papageorgiou,
"Calibration of a second-order traffic flow model using a metamodel-assisted Differential Evolution algorithm" ,
Proceedings of the 19th IEEE Conference on Intelligent Transportation Systems, ITSC 2016, pp. 366-371, 2016
.
A.I. Delis, I.K. Nikolos and M. Papageorgiou,
"Simulation of the penetration rate effects of ACC and CACC on macroscopic traffic dynamics" ,
Proceedings of the 19th IEEE Conference on Intelligent Transportation Systems, ITSC 2016, pp. 336-341, 2016
.
K.N. Porfyri, I.K. Nikolos, A.I. Delis and M. Papageorgiou,
"Nonlinear stability analysis of a macroscopic traffic flow model for Adaptive Cruise Control systems" ,
ASME 2016 International Mechanical Engineering Conference and Exposition, IMECE2016, Phoenix, Arizona, USA, November 11-17, Paper No. IMECE2016-66470, 2016
.
G.V. Kozyrakis, A.I. Delis and N.A. Kampanis,
"A finite difference solver for incompressible Navier-Stokes flows in complex domains" ,
Applied Numerical Mathematics, 115, 275-298, 2017 .
K.N. Porfyri, A.I. Delis, I.K. Nikolos, and M. Papageorgiou,
"Calibration and validation of a macroscopic multi-lane traffic flow model using a differential evolution algorithm" ,
Proceedings of the 96th Annual Meeting of the Transportation Research Board (TRB), Washington, D.C., USA, 8-12 January 2017, paper no. 17-01340, 2017
.
G.A. Strofylas, K.N. Porfyri, A.I. Delis, I.K. Nikolos, and M. Papageorgiou,
"Calibrating a traffic flow model with parallel differential evolution" ,
Civil-Comp Proceedings, Volume 111, 2017.
A.I. Delis, I.K. Nikolos, and M. Papageorgiou,
"A Macroscopic Multilane Traffic Flow Model for ACC/CACC Traffic Dynamics" ,
Proceedings of the 97th Annual Meeting of the Transportation Research Board (TRB), Washington, D.C., January 2018, paper no. 18-01024, 2018.
M. Kazolea and A.I. Delis,
"Irregular wave propagation with a 2DH Boussinesq-type model and an unstructured finite volume scheme" ,
European Journal of Mechanics, B/Fluids, 72, 432-448, 2018.
A.I. Delis, I.K. Nikolos and M. Papageorgiou,
"A Macroscopic Multi-Lane Traffic Flow Model for ACC/CACC Traffic Dynamics" ,
Transportation Research Record, 2672(20), 178-192, 2018 .
G.A. Strofylas, K.N. Porfyri, A.I. Delis, I.K. Nikolos, and M. Papageorgiou,
"Using Synchronous and Asynchronous Parallel Differential Evolution for Calibrating a Second-order Traffic Flow Model" ,
Advances in Engineering Software, 125, 1-18, 2018.
A.I. Delis, H. Guillard and Y-C. Tai,
"Numerical simulations of hydraulic jumps with the Shear Shallow Water model" , SMAI J. of Computational Mathematics, V. 4, 319-344, 2018.
N. Bekiaris-Liberis and A.I. Delis,
"Feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles: A PDE-based approach", IFAC Papers Online, 52(6), 1-6, 2019.
I. Papamichail, N. Bekiaris-Liberis, A. I. Delis et al.
"Motorway traffic flow modelling, estimation and control with vehicle automation and communication systems" , Annual Reviews in Control, 48, 25-346, 2019.
S. Leloudas, G. Lygidakis, A. I. Delis and I.K. Nikolos,
"Prediction of Turbulent Axisymmetric Flows Using an Artificial Compressibility Approach" , Proceedings of Global Power and PropulsionSociety, ISSN-Nr: 2504-4400, GPPS Chania20, 7th-9th September, 2020.
N. Bekiaris-Liberis, A. I. Delis,
"PDE-Based Feedback Control of Freeway Traffic Flow via Time-Gap Manipulation of ACC-Equipped Vehicles" , IEEE Transactions on Control Systems Technology, 29(1), 461-469, 2021.
S. Leloudas, G. Lygidakis, A. I. Delis and I.K. Nikolos,
"An Artificial Compressibility Method for Axisymmetric Swirling Flows" , Engineering Computations 30(10), 3732-3767, 2021.
A.I. Delis, M. Kazolea and M. Gaitani,
"On the numerical solution of sparce linear systems emerging in finite volume discretizations of
2D Boussinesq-type models", Water 14(21), 3584, 2022.
A.I. Delis, V. Mandikas and H. Guillard,
"Numerical Simulation of Acoustic Streaming in Standing Waves", Computers and Mathematics with Applications (accepted), 2023. PDF
Delis, A.I. and Ch. Arvanitis,
"Adaptive Redistributed Spatial Grids and Finite Volume Schemes for Hyperbolic Conservation Laws" , Technical Report, 2007, PDF
Delis, A.I. and Katsaounis, Th.
"Relaxation schemes for the shallow water equations" Departement de
Mathematiques et Applications (DMA), Ecole Normale Superieure, Preprint
DMA--02--01, January 2002. (Download
in .ps here )
Delis, A.I.
"A Comparative Study of Some Approximate Riemann Solvers in One
Dimensional Open Channel Flow Calculations",
Research and Consultancy Report, No 20, June 1998, Department of
Mathematical Sciences,
University of the West of Englad, Bristol, U.K.
Delis, A.I. "Implicit High-Resolution
Schemes for Modelling Open Channel Flows",
Research and Consultancy Report, No 19, June 1998, Department of
Mathematical Sciences,
University of the West of Englad, Bristol, U.K. Citations
Long waves generation and propagation by sliding masses
Traffic flow simulations: density evolution of stop-and-go waves and on-ramp induced congestions with a second-order traffic flow model and a high-resolution finite volume scheme