finite volume methods

The aim of the study was to perform a numerical analysis using the CFD method of oil flow through a hydraulic valve gap and to perform an optimisation of the gap shape with a view to linearising the valve characteristics. As part of the work, a flow analysis of the valve was carried out using numerical simulations. This made it possible to develop the characteristics of the studied valve.

We present a central finite volume method and apply it to a new class of nonlocal traffic flow models with an Arrhenius-type look-ahead interaction.  These models can be stated as scalar conservation laws with nonlocal fluxes.  The suggested scheme is a development of the Nessyah–Tadmor non-oscillatory central scheme.  We conduct several numerical experiments in which we carry out the following actions: i) we show the robustness and high resolution of the suggested method;  ii) we compare the equations' solutions with local and nonlocal fluxes;  iii) we examine how the look-ahead distance a