Visualization of numerical results obtained for gas-particle flows using Lagrangian approaches to the dispersed phase description

Some issues related to the implementation and physical and mathematical support of computational experiments on the investigation of fluid and gas flows containing Lagrangian coherent vortex structures are considered. Methods and tools designed to visualize vortical flows arising in various practical applications are discussed. Examples of visual representation of solutions of gas dynamics problems computed with Lagrangian approaches to the description of flows of fluid and gas are provided. In addition to traditional approaches to the visualization of vortex flows based on the construction of contours of various flow quantities, the phase trajectories of Lagrangian particles, the Poincare section, and the local Lyapunov exponent method are applied. The Lagrangian approach to the description of two-phase flows is relatively simple, but time-consuming from the computational point of view, because it requires a large number of trajectory calculations of sample particles. Additional computational difficulties come from the need of localization of particles in the control volumes of unstructured mesh and interpolation of flow quantities of gas phase.