Abstract. Factorisation (also known as “factor separation”) is widely used in the analysis of numerical simulations. It allows changes properties a system to be attributed multiple variables associated with that system. There are many possible factorisation methods; here we discuss three previously proposed factorisations have been applied field climate modelling: linear factorisation, Stein an...

The synchronization of large eddy simulations to direct numerical via a data assimilation scheme is investigated in Kolmogorov flows, where the scales velocity field are replaced by those simulations. We show that, when amount assimilated exceeds threshold given wavenumber, all with same subgrid-scale model converge an orbit that synchronized phase. wavenumbers for standard and dynamic Smagorin...

in this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. we analyze the existence and stability of all possibleequilibria. numerical simulations reveal that anti-predator behaviour notonly makes the coexistence of the prey and predator po...

multidimensional modelling of open-cycle process of om355 engine was developed. calculations for computational mesh were carried out. the results of the model were validated by experimentally measured in-cylinder pressure and the good agreement between calculations and measurements approved the trustworthy of numerical code. results included pressure, temperature, emission and rate of heat rele...

micropolar plasticity provides the capability to carry out post-failure simulations of geo-structures due to microstructural considerations and embedded length scale in its formulation. an essential part of the numerical implementation of a micropolar plasticity model is the integration of the rate constitutive equations. efficiency and robustness of the implementation hinge on the type of inte...