Adaptive simulations of cylindrical shock waves in polytropic van der Waal gas -- Non-ideal compressible flows in radial equilibrium -- Data-driven regression of thermodynamic models in entropic form -- Direct Numerical Simulation of Wall-Bounded Turbulence at High-Pressure Transcritical Conditions -- Development, Validation and Application of an ANN-based Large Eddy Simulation Subgrid-Scale Turbulence model for dense gas flows.