Basic and applied research of the department concentrates on the following areas:
- Models, principles, computational methods and procedures for computer simulation of fires in various environments
- Computer simulation of fires in road tunnels
- experimental investigation of the fire course and smoke propagation in tunnel: full-scale smoke tests in real motorway tunnels with measurement of physical quantities
- computer simulation of tested fire scenarios including tunnel safety systems operation and its validation: fire course, smoke propagation and stratification, etc.
- computer modelling of evacuation in tunnel under fire conditions
- visualization of the fire course in tunnel based on computer simulation of fire for the purposes of increasing the tunnel operators readiness in Slovakia; visualizations became a part of Tunnel Traffic & Operation Simulator at the University of Zilina which is used for tunnel control operators education and training
- Computer simulation of fires and their 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 structures with higher demands on fire safety: fire in road tunnel, fire in car park, fire in 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 or semi-closed compartments created using the data obtained from experiments
- computer simulation of smoke propagation during automobile fires in transportation structures: fire in car park, fire in road tunnel
- Computer modelling of vegetation fires (forest fires and fires in wildland-urban interface)
- mathematical foundations of 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 fires
- parallelization of calculation and its impact on simulation efficiency and accuracy
- efficient realization of computer simulation of fires 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