Abstract
In the community of turbulence and turbulent combustion research, results obtained from direct numerical simulations and advanced laser diagnostics are regarded as forming the fundamental basis of physical insights and mathematical models of the highly non-linear, multi-physical phenomena. Over the decades, we have contributed in these research areas by means of these numerical and experimental approaches, and tried to ellucidate relevant physical mechanisms. The scale of these simulations or laser diagnoctics has improved over the years thanks to the advancement of high performance computing, numerical schemes, and laser and optical systems. The insights based on these numerical and measured resutls are then applied to develop mathematical models to describe microscale non-linear acitivities incorporating theories, which could be used for computational fluid mechanics of major combustion devices.