Curve Reconstruction of Turbulence Motion Locus Based on Image Projection Transformation and Light Stream Vector

Curve reconstruction method of turbulence motion locus is investigated. Through tracing particles be equally-distributed scattered into flow field and each particle´s movement has been shot from different orientations in continuous time-points, thus sequential conjugate images have been obtained. On the basis of positioning these particles in each relative coordinate system, relationship of image projecting transformation is established to calculate their absolute three-dimensional coordinates in each time-point. Combining with light stream vector, tracing particles´ motion vectors in each instantaneous moment can be deducted. Finally B-spline spatial curve of turbulence motion locus is fitted. Programming experiments and error analysis indicate that the accurate locus curve can be obtained, turbulence´s mathematical feature and motion discipline are clearly displayed, and this method provides theoretical foundation and technical preparation for following turbulence research.