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Mathematical Modeling and Numerical Simulations

Currently in the Department there are  10 scientists : two Professors DSc., one Assoc. Prof. DSc., two Assoc. Profs Dr, two Assistant Profs, two Assistants. In addition to that there are two Associate members of IMech  working in the department.

 

staff

room

tel. (+359 2)

e-mail

Prof. DSc Daniel Danchev - Head

310

979 6447

daniel@imbm.bas.bg

Assoc. Prof. DSc Stanimir Iliev

329

979 6488

stani@imbm.bas.bg

Prof. DSc Stefan Stefanov

404

979 6463

stefanov@imbm.bas.bg

Assoc. Prof. Dr Petar Gospodinov

404

979 6463

png@imbm.bas.bg

Assoc. Prof. Dr Nina Pesheva

304

979 6439

nina@imbm.bas.bg

Assist. Prof. Dr Dobry Dankov

329

979 6488

dankov@imbm.bas.bg

Assist. Prof. Vadimir Rusinov

404

979 6463

vladimir@imbm.bas.bg

Senior Assistant Prof. Dr Kiril Shterev

421

979 2007

Click here to see email

Assist. Dr Nadezhda Banzarova

105

979 6701

nadezhda@imbm.bas.bg

Assist. Dr Galin Valchev

105 979 6701 gvalchev@imbm.bas.bg

Assoc. member - Prof. DSc Jordan Brankov

304 979 6439 brankov@imbm.bas.bg

Assoc. member - Assoc. Prof. Dr Sl. Slavtchev

326

979 6456

slavcho@imbm.bas.bg

 

In the period 2014 - 2016 the staff of the Department will be working on two basic projects:

 

А)Mathematical modeling and numerical simulations of phenomena and processes occurring in nonhomogeneous many-particle systems


B)Mathematical modeling and numerical simulations of multi-scale processes and phenomena in micro- and nano-fluidic systems

 

The basic accent of the research carried on in the Department will be on the development of models, algorithms, numerical methods and software products for:

1.      Mathematical modeling of the interactions, the properties and the behavior of low-dimensional fluidic systems, including their study as a part of micro and nano-systems and devices.

2.      Modeling of processes in micro-fluidics and the emerging pioneering field  of nano-fluidics.

3.      Numerical algorithms and specific realizations for application of Monte Carlo methods for the study of:

  • Rarefied gas-flows in micro-channels and gaseous MEMS
  • Transport process and biological systems
  • Phenomena, based on self-organized criticality: avalanches, earthquakes etc.

4.      Modeling of the processes of wetting and spreading of liquid on chemically heterogeneous and rough surfaces. Modleing of interfaces - properties and interaction of micro and nano-objects with them.

5.      Development of effective parallel algorithms for the specific software applications

6.      Taking into account that the Institute of Mechanics is in the research field "Information and Communication Technologies" of BAS, mathematical models of information and communication processes, based on the complex system methodology will be developed in the department MM MCS.. The last includes using the experience in modeling of non-equilibrium thermodynamical systems, self-organized criticality, dissipative processes, which are also a subject of research in above formulated problems 1-4.

 

 

Public Archive:

A pressure based, iterative finite volume method is developed for calculation of compressible, viscous, heat conductive gas flows at all speeds. For more information click here.


Dynamic Meniscus Profile Method for Detertmination of the Dynamic Contact Angle in the Wilhelmy Plate Geometry is developed and available for use here.


Modified date:07-10-2016