Basic and applied research of the department concentrates on the following areas:

• Models, principles, methods and procedures for computer simulation of fires in various environments
• Computer simulation of fire in road tunnels
  • experimental investigation of the fire course and smoke propagation in the tunnel (full-scale smoke tests in real highway tunnels with the measurement of physical quantities)
  • computer simulation of tested fire scenarios including tunnel safety systems operation, validation of computer simulation (fire course, smoke propagation, smoke stratification, etc.)
  • computer modelling of evacuation in tunnel under fire conditions
  • visualization of the course of tunnel fire and its parameters for the purposes of increasing the tunnel operators readiness in Slovakia (visualizations for Tunnel Traffic & Operation Simulator at the University of Zilina used for training and testing of tunnel operators)
• Computer simulation of fire spread and its effects in various types of structures
  • computer simulation of the course of fire and evacuation in structures with higher concentration of visitors (fire in cinema hall, etc.)
  • computer simulation of the fire course in other structures with higher demands on fire safety (fire in road tunnel, garage, production hall, etc.)
• Computer simulation of automobile fires
  • experimental investigation of the course of automobile fires and spread of fire to adjacent vehicles in open air as well as in closed spaces (full-scale experiments)
  • computer simulation of the course of automobile fire and spread of fire to adjacent vehicles in open air and in closed spaces created using the data obtained from experiments
  • computer simulation of smoke propagation during automobile fires in transportation structures (car parks and road tunnels)
• Computer modelling of vegetation fires (forest fires and fires in wildland-urban interface)
  • mathematical foundations of the elliptical fire spread model
  • use of program systems based on physical fire models for vegetation fire modelling
  • use of program systems based on semi-empirical fire models and databases for modelling the fireline propagation in given 3D environment and conditions
• Use of high-performance computing infrastructure for computer simulation of fire
  • parallelization of calculation
  • impact of parallelization on efficiency and accuracy of simulation
  • efficient realization of computer simulation of fire on computer cluster
• Theory of efficient algorithms for calculation of discrete sinusoidal unitary transforms and cosine/sine modulated filter banks with perfect reconstruction:
  • Discrete sinusoidal unitary transforms: generalized discrete Fourier transform (GDFT), generalized discrete Hartley transform (GDHT), or equivalently generalized discrete W transform (GDWT), various versions of the discrete cosine and sine transform (DCT/DST) known also as the discrete trigonometric transforms: general mathematical properties, fast algorithms, matrix factorizations and integer approximations for their efficient implementations for the lossless transform-based coding of digital signals
  • Perfect reconstruction cosine- and sine-modulated filter banks: modified discrete cosine/sine transforms (MDCTs/MDSTs), or equivalently modulated lapped transforms (MLTs), and modulated complex lapped transform (MCLT): general mathematical properties, fast algorithms, matrix factorizations and integer approximations for their efficient implementations in lossless sub-band coding of digital audio signals